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All Textbook Solutions for Elementary Geometry for College Students

In Review Exercises 4 to 6, name the type of reasoning illustrated. While watching the pitcher warm up, Phillip thinks, Ill be able to hit against him.In Review Exercises 4 to 6, name the type of reasoning illustrated. Laura is away at camp. On the first day, her mother brings her additional clothing. On the second day, her mother brings her another pair of shoes. On the third day, her mother brings her cookies. Laura concludes that her mother will bring her something on the fourth day.In Review Exercises 4 to 6, name the type of reasoning illustrated. Sarah knows the rule A number not 0 divided by itself equals 1. The teacher asks Sarah, What is 5 divided by 5? Sarah says, The answer is 1.In Review Exercises 7 and 8, state the hypothesis and conclusion for each statement. If the diagonals of a trapezoid are equal in length, then the trapezoid is isosceles.In Review Exercises 7 and 8, state the hypothesis and conclusion for each statement. The diagonals of a parallelogram are congruent if the parallelogram is a rectangle.9CR 10CR 11CR A, B and C are three points on a line. AC=8, BC=4, and AB=12. Which point must be between the other two points?Use three letters to name the angle shown. Also use one letter to name the same angle. Decide whether the angle measure is less than 90, equal to 90, or greater than 90.Figure MNPQ is a rhombus. Draw diagonals MP and QN of the rhombus. How do MP and QN appear to be related?In Review Exercises 15 to 17, sketch and label the figures described. Points A, B, C and D are coplanar. A, B, and C are the only three of these points that are collinear.In Review Exercises 15 to 17, sketch and label the figures described. Line l intersects plane X at point P.In Review Exercises 15 to 17, sketch and label the figures described. Plane M contains intersecting lines j and k.On the basis of appearance, what type of angle is shown?On the basis of appearance, what type of angle is shown?Given: BD bisects ABC mABD=2x+15 mDBC=3x+5 Find: mABC Given: mABD=2x+5 mDBC=3x4 mABC=86 Find: mDBC Given: AM=3x1 MB=4x5 M is the midpoint of AB Find: AB Given: AM=4x4 MB=5x+2 AB=25 Find: MB Given: D is the midpoint of AC ACBC CD=2x+5 BC=x+28 Find: AC Given: m3=7x21 m4=3x+7 Find: mFMH Given: mFMH=4x+1 m4=x+4 Find: m4 In the figure, find: a KHFJ b MJMH c KMJJMH d MKMH Given: EFG is a right angle. mHFG=2x6 mEFH=3mHFG Find: mEFH Two angles are supplementary. One angle is 40 more than four times the other. Find the measures of the two angles.aWrite an expression for the perimeter of the triangle shown. HINT: Add the lengths of the sides. bIf the perimeter is 32centimeters, find the value of x. c Find the length of each side of the triangle.The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum of the measures of angles 1 and 2 is more than 130. what can you conclude about the measure of angle 3? 30.Susan wants to have a 4-ft board with some pegs on it. She wants to leave 6 in. on each end and 4 in. between pegs. How many pegs will fit on the board? HINT: If n represents the number of pegs, then n-1 represents the number of equal spaces.State whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. If AM=MB, then A,M, and B are collinear.State whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. If two angles are congruent, then they are right angles.State whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. The bisectors of vertical angles are opposite rays.State whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. Complementary angles are congruent.State whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. The supplement of an obtuse angle is another obtuse angle.Fill in the missing statements or reasons. Given: 1P 4P VP bisects RVO Prove: TVPMVP Proof Statements Reasons 1. 1P 1. Given 2. ? 2. Given 1, 2 3. ? 3. Transitive Property of 3 4. m1=m4 4. ? 5. VP bisects RVO 5. ? 6. ? 6. If a ray bisects an , it forms two s of equal measure 4, 6, 7. ? 7. Addition Property of Equality 8. m1+m2=mTVP; m4+m3=mMVP; 8. ? 7, 8 9. mTVP=mMVP 9. ? 10. ? 10. If two s are = in measure, then they are Write two-column proofs for Review Exercises 39 to 46. Given: KFFH JHF is a right Prove: KFHJHF Write two-column proofs for Review Exercises 39 to 46. Given: KHFJ G is the midpoint of both KH and FJ. Prove: KGGJ 41CR 42CR 43CR 44CR 45CR 46CR Given: VP Construct: VW such that VW=4VP 48CR 49CR 50CR 51CR 52CR Which type of reasoning is illustrated below?_______ Because it has rained the previous four days, Annie concludes that it will rain again today.Given ABC as shown, provide a second correct method for naming this angle.Using the Segment-Addition Postulate, state a conclusion regarding the accompanying figure.Complete each postulate: a If two lines intersect, they intersect in a _________________. b If two planes intersect, they intersect in a ________________.5CT 6CT Given that NP bisects MNQ, state a conclusion involving mMNP and mPNQ.Complete each theorem: a If two lines are perpendicular, they meet to form ______________ angles. b If the exterior sides of two adjacent angles from a straight line, these angles are ________________.State the conclusion for the following deductive argument. 1If you study geometry, then you will develop reasoning skills. 2Kianna is studying geometry this semester.10CT In the figure, AB=x, BD=x+5, and AD=27. Find: a x_______ b BD_________12CT 13CT 14CT 15CT 16CT 17CT Construct the angle bisector of obtuse angle RST.19CT In exercises 20 to 22, complete the missing statements/ reasons for each proof. Given: MNPQ on MQ Prove: MN+NP+PQ=MQ PROOF Statements Reasons 1. MNPQ on MQ 1. ______________________ 2. MN+NQ=MQ 2. ______________________ 3. NP+PQ=NQ 3. ______________________ 4. MN+NP+PQ=MQ 4. ______________________21CT In exercises 20 to 22, complete the missing statements/ reasons for each proof. Given: ABC is a right angle BD bisects ABC Prove: m1=45 PROOF Statements Reasons 1. ABC is a right angle 1. ____________________ 2. mABC=______ 2. Definition of a right angle 3. m1+m2=mABC 4. m1+m2=________ 5. BD bisects ABC 6. m1=m2 7. m1+m1=90or 2m1=90 8. _________________ 3. ____________________ 4. Substitution Property of Equality 5. ____________________ 6. ____________________ 7. ____________________ 8. Division Property of Equality 23CT 1E For Exercises 1 to 4, lm with transversal v. If m3=71, find: a m5 b m6 Exercises 14 For Exercises 1 to 4, lm with transversal v. If m3=68.3, find: a m3 b m6 Exercises 14 4E Use drawings, as needed, to answer each question. Does the relation is parallel to have a areflexive property? consider a line m bsymmetric property? consider lines m and n in a plane ctransitive property? consider coplanar lines m, n, and q Use drawings, as needed, to answer each question. In a plane lm and tm. By appearance, how are l and t related?Use drawings, as needed, to answer each question. Suppose that rs. Both interior angles 4 and 6 have been bisected. Using intuition, what appears to be true of 9 formed by the bisectors?Use drawings, as needed, to answer each question. Make a sketch to represent two planes that are a parallel. b perpendicular.Use drawings, as needed, to answer each question. Suppose that r is parallel to s and m2=87. Find: a m3 c m1 b m6 d m7 In Euclidean geometry, how many lines can be drawn through a point P not on a line l that are a parallel to line l b perpendicular to line l Lines r and s are cut by the transversal t. Which angle a corresponds to 1? b is the alternate interior for 4? c is the alternate exterior for 1? d is the other interior angle on the same side of transversal t as 3?ADBC, ABDC, and mA=92. Find: a mB b mC c mD lm, with transversal t and OQ bisects MNO. If m1=112, find the following: a m2 b m4 c m5 d mMOQ Exercise 15, 16 Given: lm Transversal t m1=4x+2 m6=4x2 Find: x and m5 Exercise 15, 16 Given: mn Transversal k m3=x23x m6=(x+4)(x5) Find: x and m4 Exercise 17-19 Given: mn Transversal k m1=5x+y m2=3x+y m8=3x+5y Find: x, y, and m8 Exercise 17-19 Given: mn Transversal k m3=6x+y m5=8x+2y m6=4x+7y Find: x, y, and m7 Exercise 17-19 In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.Given: lmand34 Prove: 14 See figure below. PROOF Statements Reasons 1. lm 1. ? 2. 12 2.? 3. 23 3. ? 4. ? 4. Given 5. ? 5. Transitive of Given: lmandmn Prove: 14 PROOF Statements Reasons 1. lm 1. ? 2. 12 2.? 3. 23 3. ? 4. ? 4. Given 5. 34 5. ? 6. ? 6. ?Given: CEDF Transversal AB CX bisects ACE DE bisects CDF Prove: 13 Given: CEDF Transversal AB DE bisects CDF Prove: 36 Given: rs Transversal t 1 is a right Prove: 2 is a right Given: ABDEmBAC=42mEDC=54 Find: mACD HINT: There is a line through C parallel to both AB and DE.Given: ABDEmBAC+mCDE=93 Find: mACD See Hint in Exercise 26.26E In triangle ABC, line t is drawn through vertex A in such a way that tBC. aWhich pairs of s are ? bWhat is the sum of m1, m4, and m5 ? cWhat is the sum of measures of the s of ABC ?In Exercises 30 to 32, write a formal proof of each theorem. If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.In Exercises 30 to 32, write a formal proof of each theorem. If two parallel lines are cut by a transversal, then the pairs of exterior angles on the same sides of the transversal are supplementary.In Exercises 30 to 32, write a formal proof of each theorem. If a transversal is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.Suppose that two lines are cut by a transversal in such a way that the pairs of corresponding angles are not congruent. Can those two lines be parallel?32E 33E Given: Triangle MNQ with obtuse MNQ Construct: NEMQ, with E on MQ. Exercise 36, 37 35E Given: A line m and a point T not on m Suppose that you do the following: i Construct a perpendicular line r from T to line m. ii Construct a line s perpendicular to line r at point T. What is the relationship between lines s and m?Note: Exercises preceded by an asterisk are of a more challenging nature. In Exercises 1 to 4, write the converse, the inverse, and the contrapositive of each statement. When possible, classify the statement as true or false. If Juan wins the state lottery, then he will be rich.Note: Exercises preceded by an asterisk are of a more challenging nature. In Exercises 1 to 4, write the converse, the inverse, and the contrapositive of each statement. When possible, classify the statement as true or false. If x2, then x0.3E Note: Exercises preceded by an asterisk are of a more challenging nature. In Exercises 1 to 4, write the converse, the inverse, and the contrapositive of each statement. When possible, classify the statement as true or false. In a plane, if two lines are not perpendicular to the same line, then these lines are not parallel.In Exercises 5 to 10, draw a conclusion where possible. 1. If two triangles are congruent, then the triangles are similar. 2. Triangles ABC and DEF are not congruent. C. ?6E 7E 8E 9E 10E Which of the following statements would you prove by the indirect method? a In triangle ABC, if mAmB, then ACBC. b If alternate exterior 1 alternate exterior 8, then l is not parallel to m. c If (x+2)(x3)=0, then x=2orx=3. d If two sides of a triangle are congruent, the two angles opposite these sides are also congruent. e The perpendicular bisector of a line segment is unique.12E 13E 14E 15E 16E 17E 18E 19E 20E A periscope uses an indirect method of observation. This instrument allows one to see what would otherwise be obstructed. Mirrors are located see AB and CD in the drawing so that an image is reflected twice. How are AB and CD related to each other?Some stores use an indirect method of observation. The purpose may be for safety to avoid collisions or to foil the attempts of would-be shoplifters. In this situation, a mirror see EF in the drawing is placed at the intersection of two aisles as shown. An observer at point P can then see any movement along the indicated aisle. In the sketch, what is the measure of GEF?23E 24E 25E 26E In Exercises 23 to 34, give the indirect proof for each problem or statement. If two angles are not congruent, then these angles are not vertical angles.28E 29E 30E 31E 32E 33E 34E In Exercises 1 to 6, l and m are cut by transversal v. On the basis of the information given, determine whether l must be parallel to m. m1 = 107 and m5 = 107 In Exercises 1 to 6, l and m are cut by transversal v. On the basis of the information given, determine whether l must be parallel to m. m2=65 and m7=65 3E In Exercises 1 to 6, l and m are cut by transversal v . On the basis of the information given, determine whether l must be parallel to m. m1 = 106 and m4 = 106 In Exercises 1 to 6, l and m are cut by transversal v. On the basis of the information given, determine whether l must be parallel to m. m3 = 113.5 and m5 = 67.5 In Exercises 1 to 6, l and m are cut by transversal v . On the basis of the information given, determine whether l must be parallel to m. m6=71.4 and m7=71.4 In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. Exercise 7-16 120 In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. 310 In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. 914 In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. 711 In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. lp and np In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. lm and mn In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. lp and mq In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. 8 and 9 are supplementary.In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. m8=110, pq, and m18=70 In Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. The bisectors of 9 and 21 are parallel.17E In Exercises 17 and 18, complete each proof by filling in the missing statements and reasons. Given: lm34 Prove: ln PROOF Statements Reasons 1. lm 1.? 2.12 2.? 3.23 3. If two lines intersect, the vertical s formed are 4. ? 4. Given 5. 14 5. Transitive Property of 6. ? 6.?In Exercises 19 to 22, complete the proof. Given: ADDCBCDC Prove: ADBC In Exercise 19 to 22 complete the proof. Given: 1 3 2 4 Prove: CD EF In Exercise 19 to 22 complete the proof. Given: DE bisects CDA 3 1 Prove: ED AB In Exercise 19 to 22 complete the proof. Given: XY YZ 1 2 Prove: MN XY In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m4=5x m5=4(x+5)In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m2=4x+3 m7=5(x3)In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m3=x2 m5=x In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m1=x2+35 m5=3x4 In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m6=x29 m2=x(x1)In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m4=2x23x+6 m5=2x(x1)2 In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m3=(x+1)(x+4) m5=16(x+3)(x22)In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m2=(x21)(x+1) m8=185x2(x+1)31E In Exercises 31 to 33, give a formal proof for each theorem. If two lines are cut by a transversal so that a pair of exterior angles on the same side of the transversal are supplementary, then these lines are parallel.33E 34E 35E 36E 37E Given: m2+m3=90 BE bisects ABC CE bisects BCD Prove: ln In Exercise 1 to 4, refer to ABC . On the basis of the information given, determine the measure of the remaining angles of the triangle. mA=63 and mB=42 In Exercise 1 to 4, refer to ABC . On the basis of the information given, determine the measure of the remaining angles of the triangle. mB=39 and mC=82 In Exercise 1 to 4, refer to ABC . On the basis of the information given, determine the measure of the remaining angles of the triangle. mA=mC=67 In Exercise 1 to 4, refer to ABC . On the basis of the information given, determine the measure of the remaining angles of the triangle. mB=42 and mA=mC Describe the auxiliary line segment as determined, overdetermined, or underdetermined. a Draw the line through vertex C of ABC. b Through vertex C, draw the line parallel to AB. c With M the midpoint of AB, draw CM perpendicular to AB.Describe the auxiliary line segment as determined, overdetermined, or underdetermined. a) Through vertex B of ABC, draw ABAC. b) Draw the line that contains A, B, and C. c) Draw the line that contains M, the midpoint of AB.In Exercises 7 and 8, classify the trianglenot shown by considering the lengths of its sides a All sides of ABC are of the same length. b In DEF, DE=6, EF=6, and DF=8.In Exercises 7 and 8, classify the trianglenot shown by considering the lengths of its sides. a In XYZ, XYYZ. b In RST, RS=6, ST=7, and RT=8.In Exercises 9 and 10, classify the triangle not shown by considering the measures of its angles. a All angles of ABC measure 60. b In DEF, mD=40 and mE=50.In Exercises 9 and 10, classify the triangle not shown by considering the measures of its angles. a In XYZ, mX=123. b In RST, mR=45, mS=65 and mT=70.In Exercises 11 and12, make drawings as needed. Suppose that for ABC and MNQ, you know that AM and BN. Explain why CQ.In Exercises 11 and 12, make drawings as needed. Suppose that T is a point on side PQ of PQR. Also, RT bisects PRQ, and PQ. If 1 and 2 are the angles formed when RT intersects PQ, explain why 12.In Exercises 13 to 15, jk and ABC. Given: m3=50m4=72 Find: m1, m2, and m5 In Exercises 13 to 15, jk and ABC. Given: m3=55m2=74 Find: m1, m4, and m5 In Exercises 13 to 15, jk and. ABC. Given: m1=122.3m5=41.5 Find: m2, m3, and m4 Given: MNNQ and s as shown Find: x, y, and z Given: ABDC DB bisects ADC mA=110 Find: m3 Given: ABDC DB bisects ADC m1=36 Find: mA 19E Given: ABC with BDCE m1=2xm3=x Find: mB in terms of x Given: ADE with m1=m2=x Find: mDAE=x2 x, m1, and mDAE Given: ABC with mB=mC=x2 Find: mBAC=x x, mBAC, and mB Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the measures of the three exterior angle of the triangles?Given: Right ABC with right C m1=7x+4m2=5x+2 Find: x In Exercises 25 to 27 , see the figure for exercise 24. Given: m1=x, m2=y, m3=3x Prove: x and y In Exercises 25 to 27 , see the figure for exercise 24. Given: m1=x, m2=x2 Find: x 27E Given: m1=8(x+2)m3=5x3m5=5(x+1)2 Find: x Given: Find: , , and Given: Equiangular RST Prove: RV bisects SRT RVS is a right 31E The sum of the measures of two angles of a triangle equals the measure of the third largest angle. What type of the triangle is described?Draw, if possible, an a isosceles obtuse triangle. b equilateral right triangle.34E Along a straight shoreline, two houses are located at points H and M. The houses are 5000 feet apart. A small island lies in view of both houses, with angles as indicated. Find mI.An airplane has leveled off is flying horizontally at an altitude of 12, 000 feet. Its pilot can see each of two farmhouses at points R and T in front of the plane. With angle measures as indicated, find mR 37E The roofline of a house shows the shape of a right triangle ABC with mC=90. If the measure of CAB is 24 larger than the measure of CBA, then how large is each angle?A lamppost has design such that mC=110 and AB. Find mA and mB. Exercises 39,40 For the lamppost of Exercise 39, Suppose that mA=mB and that mC=3(mA). Find mA, mB and mC. Exercises 39,40 41E 42E 43E Explain why the following statement is true. The acute angles of a right triangle are complementary.45E 46E 47E Given: AB, DE and CF ABDE CG bisects BCF FG bisects CFE Prove: G is a right angle.Given: NQ bisects MNP PQ bisects MPR mQ=42 Find: mM 50E For Exercises 1 and 2, consider a group of regular polygons. As the number of sides of a regular polygon increases, does each interior angle increase or decrease in measure?For Exercises 1 and 2, consider a group of regular polygons. As the number of sides of a regular polygon increases, does each exterior angle increase or decrease in measure?Given: ABDC, ADBC, AEFC, with angle measures as indicated Find: x, y and z In pentagon ABCDE with BDE, find the measure of interior angle D.Find the total number of diagonals for a polygon of n sides if: a n=5 b n=10 Find the total number of diagonals for a polygon of n sides if: a n=6 b n=8 Find the sum of the measures of the interior angles of a polygon of n sides if: a n=5 b n=10 Find the sum of the measures of the interior angles of a polygon of n sides if: a n=6 b n=8 Find the measure of each interior angle of a regular polygon of n sides if: a n=4 b n=12 Find the measure of each interior angle of a regular polygon of n sides if: a n=6 b n=10 Find the measures of each exterior angle of a regular polygon of n sides if: a n=4 b n=12 Find the measures of each exterior angle of a regular polygon of n sides if: a n=6 b n=10 Find the number of sides for a polygon whose sum of the measures of its interior angles is: a 900 b 1260 Find the number of sides for a polygon whose sum of the measures of its interior angles is: a 1980 b 2340 Find the number of sides for a regular polygon whose measure of each interior angle is: a 108 b 144 Find the number of sides for a regular polygon whose measure of each interior angle is: a 150 b 168 Find the number of sides for a regular polygon whose exterior angles each measure: a 24 b 18 Find the number of sides for a regular polygon whose exterior angles each measure: a 45 b 9 What is the measure of each interior angle of a stop sign?Lug bolts are equally spaced about the wheel to form the equal angles shown in the figure. What is the measure of each of the equal obtuse angles?21E 22E 23E 24E 25E 26E Given: Quadrilateral RSTQ with exterior s at R and T. Prove: m1+m2=m3+m4 Given: Regular hexagon ABCDEF with diagonal AC and exterior 1. Prove: m2+m3=m1 Given: Quadrilateral RSTV with diagonals RT and SV intersecting at W Prove: m1+m2=m3+m4 Given: Quadrilateral ABCD with BAAD and BCDC Prove: s B and D are supplementary.A father wishes to make a baseball home plate for his son to use while practicing pitching. Find the size of each of the equal angles if the home plate is modeled on the one in a and if it is modeled on the one in b. .The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the drawing. Assume that you know that the measure of each interior angle of a regular polygon is (n2)180n. a Express the measure of each exterior angle as the supplement of the interior angle. b Simplify the expression in part a to show that each exterior angle has a measure of 360n .Find the measure of each a acute interior angle of a regular pentagram b reflex interior angle of the pentagram.Find the measure of each a acute interior angle of a regular octagram b reflex interior angle of the octagram.Consider any regular polygon; find and join in order the midpoints of the sides. What does intuition tell you about the resulting polygon?Consider a regular hexagon RSTUVW. What does intuition tell you about RTV, the result of drawing diagonals RT, TV, and VR?The face of a clock has the shape of a regular polygon with 12 sides. What is the measure of the angle formed by two consecutive sides?The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the angle formed by two consecutive sides?39E For the concave quadrilateral ABCD, explain why the sum of the measures of the interior angles is 360. HINT: DrawBD.If mA=20, mB=88 and mC=31, find the measure of the reflex angle at vertex D. Hint: See Exercise 42.Is it possible for a polygon to have the following sum of measures for its interior angles? a 600 b 720 Is it possible for a regular polygon to have the following measures for each interior angle? a 96 b 140 Draw a concave hexagon that has: a one interior reflex angle. b two interior reflex angles.Draw a concave pentagon that has: a one interior reflex angle. b two interior reflex angles.For concave pentagon ABCDE, find the measure of the reflex angle at vertex E if mA=mD=x, mB=mC=2x, and mE=4x. HINT: E is the indicated reflex angle.For concave hexagon HJKLMN, mH=y and the measure of reflex angle at N is 2(y+10). Find the measure of the interior angle sat vertex N. HINT: Note congurences in the figure 1E 2E 3E Which letters have symmetry with respect to a point? I K S V Z 5E 6E 7E 8E 9E 10E 11E 12E 13E 14E 15E Suppose that square RSTV slides point for point to form quadrilateral WXYZ. a Is WXYZ a square ? b Is ? RSTVWXYZ c Is RS=1.8cm, find WX.17E 18E 19E 20E 21E 22E In which direction clockwise or counterclockwise will pulley 1 rotate if pulley 2 rotates in the clockwise direction? a b

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