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*10. Suppose AB = CD, AB 1 BC, and CD I BC. (a) Why must AC BD? (What congruence criterion guarantees this?) (b) Prove LA LD. *See Theorem 2. Section 3.7.

*10. Suppose AB = CD, AB 1 BC, and CD I BC. (a) Why must AC BD? (What congruence criterion guarantees this?) (b) Prove LA LD. *See Theorem 2. Section 3.7.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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please answer question 10(3.3) Please note Theorem 2 is also attached. 

(Assume BC CD and Z1 2.) 8. Explain why the SAS Postulate cannot be used to prove AADC AABC. sions as indicated. What principle in geometry requires that line ST be perpendicu- (1) ACAC 9. A support brace has the shape illustrated in the figure, with the approximate dimen- (2) AABC AADC CO (a) ? (b) D. (3) AD AB (c) (4) AD = 5 (in why the SAS Postulate cannot be used to prove AADC AABC. (d) D. As indicated. What principle in geometry requires that line ST be perpendicu- C lar to line QR? 2. 10 10 9.3 Т 9.3 R 10. Suppose AB = CD, AB 1 BC, and CD 1 BC. (a) Why must AC = BD? (What congruence criterion guarantees this?) D. (b) Prove LA ELD. *See Theorem 2, Section 3.7. 11. Prove that the standard compass, straight-edge construction for the bisector of an angle is valid, that it actually produces the bisector of a given angle.
Transcribed Image Text:(Assume BC CD and Z1 2.) 8. Explain why the SAS Postulate cannot be used to prove AADC AABC. sions as indicated. What principle in geometry requires that line ST be perpendicu- (1) ACAC 9. A support brace has the shape illustrated in the figure, with the approximate dimen- (2) AABC AADC CO (a) ? (b) D. (3) AD AB (c) (4) AD = 5 (in why the SAS Postulate cannot be used to prove AADC AABC. (d) D. As indicated. What principle in geometry requires that line ST be perpendicu- C lar to line QR? 2. 10 10 9.3 Т 9.3 R 10. Suppose AB = CD, AB 1 BC, and CD 1 BC. (a) Why must AC = BD? (What congruence criterion guarantees this?) D. (b) Prove LA ELD. *See Theorem 2, Section 3.7. 11. Prove that the standard compass, straight-edge construction for the bisector of an angle is valid, that it actually produces the bisector of a given angle.
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