With
a)
b) the length of the side
Exercises 43, 44
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Chapter 4 Solutions
Elementary Geometry for College Students
- 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.arrow_forwardFor Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, Q of the sides. Does a QN=12(RS+VT)?. b MP=12(RV+ST)?. Exercises 9, 10arrow_forwardIn 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.arrow_forward
- In Exercises 25 to 28, ABCDBE Exercises 25-28 Given: AC = 10, CB = 12. E is the midpoint of CB Find: DEarrow_forwardFor Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, and Q of the sides. Would RSTV have symmetry with respect to a MP? b QN? Exercises 9, 10arrow_forwardWith MNQP and MQQP, MNPQ is a right trapezoid. Find a mP, if mMNPmM=31. b the length of NR, if MN = 6 in., NP = 5 in., and QP = 9 in. Exercises 43, 44arrow_forward
- 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.arrow_forwardIn Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of AD and BC , respectively. Exercises 11-16 Given: AB=8.2andMN=9.5 Find: DCarrow_forwardIn Exercises 27 to 30, fill in the missing reasons for each geometric proof. Given: E is the midpoint of DF Prove: DE=12(DF) Exercises 27, 28 PROOF Statements Reasons 1. E is the midpoint of DF 1. ? 2. DE=EF 2. ? 3. DE+EF=DF 3. ? 4. DE+DE=DF 4. ? 5. 2(DE)=DF 5. ? 6. DE=12(DF) 6. ?arrow_forward
- In Exercises 30 and 31, complete each proof. Given: Diameters AB and CD in E Prove: ACDB PROOF Statements Reasons 1. ? 1. Given 2. AECDEB 2. ? 3. mAEC=mDEB 3. ? 4. mAEC=mAC and mDEB=mDB 4. ? 5. mAC=mDB 5. ? 6. ? 6. If two arcs of a circle have the same measure, they arearrow_forwardIn Exercises 13 to 16, provide the missing reasons. Given: XYZ with XY trisected at P and Q and YZ trisected at R and S Prove: XYZPYR PROOF Statements Reasons 1. XYZ;XY trisected at P and Q; YZ trisected at R and S 1. ? 2. YRYZ=13 and YPYX=13 2. Definition of trisect 3. YRYZ=YPYX 3. ? 4. YY 4. ? 5. XYZPYR 5.?arrow_forwardIn Exercises 21 and 22, complete each proof. Given: AB and AC are tangent to o from point A Prove: ABC is isosceles PROOF Statements Reasons 1. ? 1. Given 2. mB=12mAB and mC=12mBC. 2. ? 3. mB=mC. 3. ? 4. BC. 4. ? 5. ? 5. If two s of a are , the side opposite the s are . 6. ? 6. If two sides of a are then is isosceles.arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,