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All Textbook Solutions for Elementary Geometry for College Students

In which direction clockwise or counterclockwise will gear 1 rotate if gear 2 rotates in the clockwise direction? a b 25E 26E 27E 28E 29E 30E A regular hexagon is rotated about a centrally located point as shown. How many rotations are needed to repeat the given hexagon, vertex for vertex, if the angle of rotation is a 30? b 60? c 90? d 240?A regular octagon is rotated about a centrally located point as shown. How many rotations are needed to repeat the given octagon, vertex for vertex, if the angle of rotation is a 10 b 45 c 90 d 120 33E XYZ is the image of XYZ following a 100 counterclockwise rotation of XYZ about point Y. If mXYZ=5x6 and mXYZ=130, find x.Hexagon ABCBAD is determined when the open figure with vertices A, B, C, and D is reflected across DC. a How many diagonals does ABCB' A' D have? b How many of the diagonals from part a lie in the exterior of the hexagon?36E 1CR 2CR 3CR 4CR Given: mDCA=130mBAC=2x+ymBCE=150mDEC=2xy Find: x and y 6CR 7CR 8CR For Review Exercises 7 to 11, use the given information to name the segments that must be parallel. If there are no such segments, write none. Assume A-B-C and D-E-F.use the drawing from Exercise 6. 710 For Review Exercises 7 to 11, use the given information to name the segments that must be parallel. If there are no such segments, write none. Assume A-B-C and D-E-F.use the drawing from Exercise 6. 69 For Review Exercises 7 to 11, use the given information to name the segments that must be parallel. If there are no such segments, write none. Assume A-B-C and D-E-F.use the drawing from Exercise 6. 853 12CR 13CR 14CR For Review Exercises 12 to 15 , find the values of x and y.Given: m1=x212 m4=x(x2) Find: x so that ABCD 17CR 18CR 19CR For Review Exercises 19 to 24, decide whether the statements are always true A, sometimes true S, or never true N. An equilateral triangle is a right triangle.21CR 22CR 23CR 24CR Complete the following table for regular polygons. Number of sides 8 12 20 Measure of each exterior 24 36 Measure of each interior 157.5 178 Number of diagonals 26CR For Review Exercises 26 to 29, sketch, if possible, the polygon described. A quadrilateral that is equilateral but not equiangular.For Review Exercises 26 to 29, sketch, if possible, the polygon described. A triangle that is equilateral but not equiangular.29CR For Review Exercises 30 and 31, write the converse, inverse, and contrapositive of each statement. If two angles are right angles, then the angles are congruent.For Review Exercises 30 and 31, write the converse, inverse, and contrapositive of each statement. If it is not raining, then I am happy.Which statementthe converse, the inverse, or the contrapositivealways has the same truth or falsity as a given implication?Given: ABCF23 Prove: 13 Given: 1 is complementary to 2; 2 is complementary to 3 Prove: BDAE 35CR Given: ACDCAB Prove: DACB 37CR 38CR 39CR 40CR 41CR Construct an equilateral triangle ABC with side AB.43CR 44CR 45CR Complete the drawing so that the figure is reflected across a line l b line m 47CR Consider the figure shown at the right. a Name the angle that corresponds to 1. b Name the alternate interior for 6.In the accompanying figure, m2=68, m8=112, and m9=110. a.Which lines r and s OR l and m must be parallel? ___________ b Which pair of lines r and s OR l and m cannot be parallel? ___________To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof should read: Suppose that ___________ is true.Assuming that statements 1 and 2 are true, draw a valid conclusion if possible. 1 If two angles are both right angles, then the angles are congruent. 2 R and S are not congruent. C ? _________ _____________Let all of the lines named be coplanar. Make a drawing to reach a conclusion. a If rs and st, then _. b If ab and bc, then _.6CT 7CT 8CT 9CT 10CT 11CT 12CT 13CT 14CT 15CT In Exercises 16 and 18 , complete the missing statements or reasons for each proof. Given: 1234 Prove: ln PROOF Statements Reasons 1. 1234 1._ 2._ 2. If two lines intersect, the vertical s are 3.14 3._ 4._ 5. If two lines are cut by a transversal so that a pair of alternate exterior s are , the lines are 17CT 18CT 19CT In Exercises 1 to 4, consider the congruent triangles shown. For the triangles shown, we can express their congruence with the statement ABCFED. By reordering the vertices, express this congruence with a different statement.In Exercises 1 to 4. consider the congruent triangles shown. With corresponding angles indicated, the triangles shown are congruent. Find the lengths of sides indicated by a, b, and c.In Exercises 1 to 4. consider the congruent triangles shown. With corresponding angles indicated, find mA if mF=72.In Exercises 1 to 4, consider the congruent triangles shown. With corresponding angles indicated, find mE if mA=57 and mC=85.Consider ABC and ABD in the figure shown. By the reason Identity, AA and ABAB. a. If BCBC, can you prove that ABCABD? b. If yes for part a, by what reason are the triangles congruent?In a right triangle, the sides that form the right angle are the legs; the longest side opposite the right angle is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that?In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the relationship between AED and FDE? We will prove this relationship later. b what does intuition suggest regarding AED and EBF.a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of corresponding parts that are congruent. b. Suppose you wish to prove that RWTSWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent.In Exercises 9 to 12, congruent parts are indicated by like dashes sides or arcs angles. State which method SSS, SAS. ASA, or AAS would be used to prove the two triangles congruent.In Exercises 9 to 12, congruent parts are indicated by like dashes sides or arcs angles. State which method SSS, SAS. ASA, or AAS would be used to prove the two triangles congruent. .In Exercises 9 to 12, congruent parts are indicated by like dashes sides or arcs angles. State which method SSS, SAS. ASA, or AAS would be used to prove the two triangles congruent.In Exercises 9 to 12, congruent parts are indicated by like dashes sides or arcs angles. State which method SSS, SAS. ASA, or AAS would be used to prove the two triangles congruent.In Exercises 13 to 18, use only the given information to state the reason why ABCDBC a'. Redraw the figure and use marks like those used in Exercises 9 to 12. AD, ABCD, and 12 In Exercises 13 to 18, use only the given information to state the reason why ABCDBC a'. Redraw the figure and use marks like those used in Exercises 9 to 12. AD, ACCD, and B is the midpoint of AD.In Exercises 13 to 18, use only the given information to state the reason why ABCDBC a'. Redraw the figure and use marks like those used in Exercises 9 to 12. AD, ACCD, and CB bisects ACD.In Exercises 13 to 18, use only the given information to state the reason why ABCDBCRedraw the figure and use marks like those used in Exercises 9 to 12. Exercises 13-18 AD, ACCD, and ABBD In Exercises 13 to 18, use only the given information to state the reason why ABCDBC. Redraw the figure and use marks like those used in Exercises 9 to 12. ACCD, ABBD, and CBCB by Identity In Exercises 13 to 18, use only the given information to state the reason why ABCDBC. Redraw the figure and use marks like those used in Exercises 9 to 12. 1 and 2 are right s, ABBD, and AD In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the reason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. ABCAED In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the mason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. MNPMQP In Exercises 21 to 24, the triangles named can be proved congruent. Considering the congruent pairs marked, name the additional pair of parts that must be congruent in order to use the method named. SAS ABDCBE In Exercises 21 to 24, the triangles named can be proved congruent. Considering the congruent pairs marked, name the additional pair of parts that must be congruent in order to use the method named. ASA WVYZVX In Exercises 21 to 24, the triangles named can be proved congruent. Considering the congruent pairs marked, name the additional pair of parts that must be congruent in order to use the method named. SSS MNOOPM In Exercises 21 to 24, the triangles named can be proved congruent. Considering the congruent pairs marked, name the additional pair of parts that must be congruent in order to use the method named. AAS EFGJHG In Exercises 25 and 26, complete each proof. Use the figure shown below. Given: ABCD and ADCB Prove: ABCCDA PROOF Statements Reasons 1. ABCD and ADCB 1. ? 2. ? 2. Identify 3. ABCCDA 3. ?In Exercises 25 and 26, complete each proof. Use the figure shown below. Given: DCAB and ADBC Prove: ABCCDA PROOF Statements Reasons 1. DCAB 1. ? 2. DCABAC 2. ? 3. ? 3. Given 4. ? 4. If two lines are cut by a transversal, alternate interior s are 5. ACAC 5. ? 6. ? 6. ASA In Exercises 27 to 32, use SSS, SAS, ASA, or AAS to prove that the triangles are congruent. Given: PQ bisects MPN MPNP Prove: MQPNQP In Exercises 27 to 32, use SSS, SAS, ASA, or AAS to prove that the triangles are congruent. Given: PQMN and 12 Prove: MQPNQP In Exercises 27 to 32, use SSS, SAS, ASA, or AAS to prove that the triangles are congruent. Given: ABBC and ABBD BCBD Prove: ABCABD In Exercises 27 to 32, use SSS, SAS, ASA, or AAS to prove that the triangles are congruent. Given: PN bisects MQ M and Q are right angles Prove: PQRNMR In Exercises 27 to 32, use SSS, SAS, ASA, or AAS to prove that the triangles are congruent. Given: VRSTSR and RVTS Prove: RSTSRV Exercises 31, 32 In Exercises 27 to 32, use SSS, SAS, ASA, or AAS to prove that the triangles are congruent. Given: VSTR and TRSVSR Prove: RSTSRV Exercises 31, 32 In Exercises 33 to 36, the methods to be used are SSS, SAS, ASA, and AAS. Given that RSTRVU, does it follow that RSU is also congruent to RVT? Name the method, if any, used in arriving at this conclusion.In Exercises 33 to 36, the methods to be used are SSS, SAS, ASA, and AAS. Given that SV and STUV, does it follow that RSTRVU? Which method, if any, did you use?In Exercises 33 to 36, the method to be used are SSS, SAS, ASA, and AAS. Given that AE and BD, does it follow that ABCEDC? If so, cite the method used in arriving at this conclusion.In Exercises 33 to 36, the method to be used are SSS, SAS, ASA, and AAS. Given that AE and BCDC, does it follow that ABCEDC? Cite the method, if any, used in reaching at this conclusion. See the figure for Exercise 35.In quadrilateral ABCD, AC and BD are perpendicular bisectors of each other. Name all triangles that are congruent to: a ABE b ABC c ABD In ABC and DEF, you know that AD, CF, and ABDE. Before concluding that the triangles are congruent by ASA, you need to show that BE. State the postulate or theorem that allows you to confirm this statement (BE).39E In Exercises 39 to 40, complete each proof. Given: SPSQ and STSV Prove: SPVSQT and TPQVQP Given: ABC; RS is the perpendicular bisector of AB; RT is theperpendicular bisector ofBC. Prove: ARRC In Exercises 1 to 4, state the reason SSS, SAS, ASA, AAS, or HL why the triangles are congruent. Given: 12 CABDAB Prove: CABDAB In Exercises 1 to 4, state the reason SSS, SAS, ASA, AAS, or HL why the triangles are congruent. Given: CABDAB ACAD Prove: CABDAB In Exercises 1 to 4, state the reason SSS, SAS, ASA, AAS, or HL why the triangles are congruent. Given: M and R are right angles MNQRMPRP Prove: MNPQRP In Exercises 1 to 4, state the reason SSS, SAS, ASA, AAS, or HL why the triangles are congruent. Given: P is the midpoint of MR and NQ. Prove: MNPQRP In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: 1 and 2 are right s CADA Prove: ABCABD In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: 1 and 2 are right s AB bisects CAD. Prove: ABCABD In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: P is the midpoint of both MR and NQ. Prove: MNPRQP In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: MNQR MNQR Prove: MNPRQP 9E In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: 12 34 Prove: RSTVST In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: SRSVRTVT Prove: RSTVST In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: R and V are right s RTVT Prove: RSTVST 13E 14E Given: HJ bisects KHL HJKL See figure for exercise 13 Prove: KL PROOF Statements Reasons 1. ? 1. Given 2.JHKJHL 2.? 3.HJKL 3.? 4. HJKHJL 4.? 5. ? 5. Identity 6. ? 6. ASA 7. KL 7. ?Given: HJ bisects KHL HJKL In Exercise 15, you cam delete Step 5 and 6 and still prove that KL. What reason would you use to establish that KL in the shorter proof. Prove: KL PROOF Statements Reasons 1. ? 1. Given 2.JHKJHL 2.? 3.HJKL 3.? 4. HJKHJL 4.? 5. ? 5. Identity 6. ? 6. ASA 7. KL 7. ?In Exercise 17 to 20, first prove that triangles are congruent then use CPCTC. Given: P and R are right s M is the midpoint of PR. Prove: NQ In Exercise 17 to 20, first prove that triangles are congruent then use CPCTC. Given: M is the midpoint of NQ NPRQ with transversal PR and NQ Prove: NPQR In Exercise 17 to 20, first prove that triangles are congruent then use CPCTC. Given: 1 and 2 are right s H is the midpoint of FK FGHJ Prove: FGHJ In Exercise 17 to 20, first prove that triangles are congruent then use CPCTC. Given: DEEF and CBAB ABFE ACFD Prove: EFBA In Exercise 21 to 26, ABC is a right triangle. Use the given information to find the length of the third side of the triangle. a=4 and b=3 In Exercise 21 to 26, ABC is a right triangle. Use the given information to find the length of the third side of the triangle. a=12 and b=5 In Exercise 21 to 26, ABC is a right triangle. Use the given information to find the length of the third side of the triangle. a=15 and c=17 In Exercise 21 to 26, ABC is a right triangle. Use the given information to find the length of the third side of the triangle. b=6 and c=10 In Exercise 21 to 26, ABC is a right triangle. Use the given information to find the length of the third side of the triangle. a=5 and b=4 In Exercise 21 to 26, ABC is a right triangle. Use the given information to find the length of the third side of the triangle. a=7 and c=8 In Exercise 27 to 29, prove the indicated relationship. Given: DFDG and FEEG Prove: DE bisects FDG In Exercise 27 to 29, prove the indicated relationship. Given: DE bisects FDG FG Prove: E is midpoint of FG In Exercise 27 to 29, prove the indicated relationship. Given: E is midpoint of FGDFDG Prove: DEFG 30E 31E In Exercises 30 to 32, draw the triangles that are to be shown congruent separately. Then complete the proof. Given: MNQP and MQNP Prove: MQNP HINT: Show MQPPNM.Given: RW bisects SRU Prove: RSRU TRUVRS HINT: First show that RSWRUW.Given: DBBC and CEDE Prove: ABAE BDCECD HINT: First show that ACEADB.In the roof truss shown, AB=8 and mHAF=37. Find: a AH b mBAD c mADB HINT: The design of roof truss displays the symmery.In the support system of the bridge shown, AC=6ft and mABC=28. Find: a mRST b mABD c BS HINT: The smaller triangles shown in the figure are all congruent to each other.As a car moves along the roadway in a mountain pass, it passes through a horizontal run of 750 feet and through a vertical rise of 45 feet. To the nearest foot, how far does the car move along the roadway?Because of the construction along the road from A to B, Alinna drives 5miles from A to C and then 12miles from C to B. How much farther did Alinna travel by using the alternative route from A to B?Given: Regular pentagon ABCDE with diagonals BE and BD. Prove: BEBD HINT: First prove ABECBD.In the figure with regular pentagon ABCDE, do BE and BD trisect ABC ?HINT: mABE=mAEB.For Exercises 1 to 8, use the accompanying drawing. If VUVT, what type of triangle is VTU?2E 3E 4E 5E For Exercises 1 to 8, use the accompanying drawing. If VUVT and mT=69, find mV.7E 8E In Exercises 9 to 12, determine whether the sets have a subset relationship. Are the two sets disjoint or equivalent? Do the sets intersect? L={equilateraltriangles}; E={equiangulartriangles}10E In Exercises 9 to 12, determine whether the sets have a subset relationship. Are the two sets disjoint or equivalent? Do the sets intersect? R={righttriangles}; O={obtusetriangles}In Exercises 9 to 12, determine whether the sets have a subset relationship. Are the two sets disjoint or equivalent? Do the sets intersect? I={isoscelestriangles}; R={righttriangles}In Exercises 13 to 18, describe the line segments as determined, undetermined, or overdetermined. Use the accompanying drawing for reference. Draw a line segment through point A.14E In Exercises 13 to 18, describe the line segments as determined, undetermined, or overdetermined. Use the accompanying drawing for reference. Draw a line segment AB parallel to line m.In Exercises 13 to 18, describe the line segments as determined, undetermined, or overdetermined. Use the accompanying drawing for reference. Draw a line segment AB perpendicular to m.In Exercises 13 to 18, describe the line segments as determined, undetermined, or overdetermined. Use the accompanying drawing for reference. Draw a line from A perpendicular to m.18E 19E Is it possible for a triangle to be: a an acute isosceles triangle? b an obtuse isosceles triangle? can equiangular isosceles triangle?21E In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC bisects ADB. What are the measures of ABC, ADC, and 1?23E 24E 25E 26E 27E 28E 29E 30E 31E 32E Suppose that ABCDEF. Also, AX bisects CAB and DY bisects FDE. Are these corresponding angle bisectors of congruent triangles congruent? Exercises 35, 36 Suppose that ABCDEF. Also, AX is the median from A to BC and DY is the median from D to EF. Are these corresponding medians of congruent triangles congruent? Exercises 35, 36 In Exercises 35 and 36, complete each proof using the drawing below. Given:31 Prove:ABAC PROOF Statements Reasons 1. 31 1. ? 2. ? 2. If two lines intersect, the vertical s formed are 3. ? 3. Transitive Property of Congruence 4. ? 4. ?36E 37E 38E 39E In isosceles triangle BAT, ABAT.Also, BRBTAR, if AB=12.3 and AR=7.6, find the perimeter of: a BAT b ARB c RBT 41E 42E 43E 44E 45E 46E Given: In the figure, XZYZ and Z is the midpoint of XW. Prove: HINT: Let mX=a. XYW is a right triangle with mXYW=90 48E In Exercises 1 to 6, use line segments of given length a, b and c to perform the constructions. Construct a line segment of length 2b.2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 12E In Exercises 13 and 14. use the angles and lengths of sides provided to construct the triangle described. Construct the triangle that has sides of lengths r and t with included angle S. Exercises 13, 14 14E 15E 16E 17E 18E 19E 20E 21E 22E In Exercises 23 to 26, use line segments of length a and c as shown. Construct the right triangle with hypotenuse of length c and a leg of length a. Exercises 23-26 24E In Exercises 23 to 26, use line segments of length a and c as shown Construct the isosceles triangle with a vertex angle 30 and each leg of length c Exercises 23-26 26E In Exercise 27 and 28, use the given angle R and the line segment of length b. Construct the right triangle in which acute angle R has a side one leg of the triangle of length b. Exercise 27, 28 28E Complete the justification of the construction of the line perpendicular to the given line at appoint on that line. Given: Line m, with point P on m PQPR by construction QSRS by construction Prove: SPm 30E 31E 32E 33E 34E 35E Draw a right triangle and construct the angle bisectors of the triangle. Do the angle bisectors appear to meet at a common point?Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the perpendicular bisectors of the three sides appear to meet at a common point?38E A carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?40E In Exercise 1 to 10, classify each statement as true or false. AB is the longest side of ABC.In Exercise 1 to 10, classify each statement as true or false. ABBC In Exercise 1 to 10, classify each statement as true or false. DBAB In Exercise 1 to 10, classify each statement as true or false. Because mA=mABC, it follows that DA=DC.In Exercise 1 to 10, classify each statement as true or false. mA+mB=mC In Exercise 1 to 10, classify each statement as true or false. mAmB.In Exercise 1 to 10, classify each statement as true or false. DFDE+EF.In Exercise 1 to 10, classify each statement as true or false. If DG is the bisector of EDF, then DGDE.In Exercise 1 to 10, classify each statement as true or false. DAAC In Exercise 1 to 10, classify each statement as true or false. CE=ED Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?Is it possible to draw a triangle whose angles measure a. 80, 80, and 50? b. 50, 50, and 80?Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?Is it possible to draw a triangle whose sides measure a. 7, 7, and 14? b. 6, 7, and 14? c. 6, 7, and 8?15E In Exercises 15 to 18, describe the triangle XYZ , not shown as scalene, isosceles, or equilateral. Also, is the triangle acute, right, or obtuse? mX=60 and YZ 17E In Exercises 15 to 18, describe the triangle XYZ , not shown as scalene, isosceles, or equilateral. Also, is the triangle acute, right, or obtuse? mX=70 and mY=40 Two of the sides of an isosceles triangle have lengths of 10cm and 4cm. Which length must be the length of the base?The sides of a right triangle have lengths of 6cm, 8cm and 10cm. Which length is that of the hypotenuse?21E One of the angles of an isosceles triangle measures 96. What is the measure of the largest angles of the triangle? What is the measure of the smallest angles of the triangle?23E A tornado has just struck a small Kansas community at point T. There are Red Cross units stationed in both Salina at point S and Wichita at point W. Using the angle measurements indicated on the accompanying map, determine which Red Cross unit would reach the victims first. Assume that both units have the same mode of travel and accessible roadways available.In Exercises 25 and 26, complete each proof shown on page 160. Given: mABCmDBEmCBDmEBF Prove: mABDmDBF PROOF Statements Reasons 1. ? 1. Given 2. mABC+mCBDmDBE+mEBF 2. Addition Property of Inequality 3. mABD=mABC+mCBD and mDBF=mDBE+mEBF 3. ? 4. ? 4. Substitution 26E In Exercises 27 and 28, construct proofs. Given: Quadrilateral RSTU with diagonal US R and TUS are right s Prove: TSUR In Exercises 27 and 28, construct proofs. Given: Quadrilateral ABCD with ABDE Prove: DCAB 29E In MNP not shown, point Q lies on NP so that MQ bisects NMP. If MNMP, draw a conclusion about the relative lengths of NQ and QP.In Exercises 31 to 34, apply a form of Theorem 3.5.10. The sides of a triangle have lengths of 4, 6, and x. Write an inequality that states the possible values of x.In Exercises 31 to 34, apply a form of Theorem 3.5.10. The sides of a triangle have lengths of 7, 13, and x. As in Exercise 31, write an inequality that describes the possible values of x.33E In Exercises 31 to 34, apply a form of Theorem 3.5.10. Prove by the indirect method: The length of a diagonal of a square is not equal in length to the length of any of the sides of the square.Prove by the indirect method: Given: MPN is not isosceles Prove: PMPN Prove by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XY In Exercises 37 and 38, prove each theorem. The length of the median from the vertex of an isosceles triangle is less than the length of either of the legs.In Exercises 37 and 38, prove each theorem. The length of an altitude of an acute triangle is less than the length of either side containing the same vertex as the altitude.Given: AEBDEC AEDE Prove: AEBDEC Given: ABEFACDF12 Prove: BE Given: AD bisects BC ABBCDCBC Prove: AEDE 4CR 5CR Given: B is the midpoint of AC BDAC Prove: ADC is isosceles 7CR 8CR Given: YZ is the base of an isosceles triangle; XAYZ Prove: 12 10CR 11CR 12CR 13CR Given: AC bisects BAD Prove: ADCD

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