Given
a) What is the constant value of the ratios
b) Using intuition (appearance), does it seem that
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Chapter 5 Solutions
Elementary Geometry For College Students, 7e
- What relationship, if any, exists between two angles a with equal measures? b that have the same vertex and a common side between them?arrow_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_forwardA tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?arrow_forward
- In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._arrow_forwardIn Exercises 39 and 42, refer to the line segments shown. Use the following theorem to construct a triangle similar to the given triangle but with sides that are twice the length of those of the given triangle. Theorem: If the lengths of the three pairs of sides for two triangles are in proportion, then those triangles are similar SSS.arrow_forwardProve by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XYarrow_forward
- Does it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?arrow_forwardIn 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?arrow_forwardIn 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_forward
- In 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_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 LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL