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If AABC is an isosceles triangle, which statement explains whether there is enough information to prove that ZADB and ZCDB are right angles? В A D C A No, it is not known if ZA ZC, so AABD and ACBD cannot be proven congruent. No, it is not known if BD is the angle bisector of ZABC or if D is the midpoint of AC. Thus, AABD and ACBD cannot be proven congruent. Yes, AABD ACBD by the SAS Congruence Postulate and ZADB and ZCDB are congruent because of CPCTC. C Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. Yes, AABDACBD by SSS and ZADB and ZCDB are congruent because of CPCTC. Since LADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles.

If AABC is an isosceles triangle, which statement explains whether there is enough information to prove that ZADB and ZCDB are right angles? В A D C A No, it is not known if ZA ZC, so AABD and ACBD cannot be proven congruent. No, it is not known if BD is the angle bisector of ZABC or if D is the midpoint of AC. Thus, AABD and ACBD cannot be proven congruent. Yes, AABD ACBD by the SAS Congruence Postulate and ZADB and ZCDB are congruent because of CPCTC. C Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. Yes, AABDACBD by SSS and ZADB and ZCDB are congruent because of CPCTC. Since LADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles.

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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If AABC is an isosceles triangle, which statement explains whether there is enough information to prove that ZADB and ZCDB are right angles? AD C A No, it is not known if ZA 2 ZC, so AABD and ACBD cannot be proven congruent. No, it is not known if BD is the angle bisector of ZABC or if D is the midpoint of AC. Thus, AABD and ACBD В cannot be proven congruent. Yes, AABD ACBD by the SAS Congruence Postulate and ZADB and ZCDB are congruent because of CPCTC. C Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. Yes, AABD ACBD by SSS and ZADB and ZCDB are congruent because of CPCTC. Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. B
Transcribed Image Text:If AABC is an isosceles triangle, which statement explains whether there is enough information to prove that ZADB and ZCDB are right angles? AD C A No, it is not known if ZA 2 ZC, so AABD and ACBD cannot be proven congruent. No, it is not known if BD is the angle bisector of ZABC or if D is the midpoint of AC. Thus, AABD and ACBD В cannot be proven congruent. Yes, AABD ACBD by the SAS Congruence Postulate and ZADB and ZCDB are congruent because of CPCTC. C Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. Yes, AABD ACBD by SSS and ZADB and ZCDB are congruent because of CPCTC. Since ZADB and ZCDB are also a linear pair, they sum to 180° and each must equal 90°, making them both right angles. B
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