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
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
Related questions
Question
100%
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd918ab37-b7ff-4acf-9444-877664f431c8%2Fe05b164b-b82f-45c7-87f8-1313b9b948ba%2Fvbrefxu_processed.jpeg&w=3840&q=75)
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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