Test III Using the two-column proof, write the appropriate statements or reasons for each diagram. You may choose your answer inside the boxes. (Note: Answers may be repeated more than once.) AABD = AEBC Given AD || EC Vertical Angles Theorem BD = BC SAS Congruence Postulate ZABD = LEBC ASA Congruence Postulate Alternate Interior Angles Theorem ZD = LC Definition of Angle bisector. For items 11-15, refer to the figure below. Prove that AABD = AEBC. STATEMENTS 11. REASONS 16. 12. 17 13. 18 19 20 14. 15. 111

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Test III Using the two-column proof, write the appropriate statements or reasons for each diagram. Y ou
may choose your answer inside the boxes. (Note: Answers may be repeated more than once.)
AABD = AEBC
Given
AD || EC
Vertical Angles Theorem
BD = BC
SAS Congruence Postulate
ZABD = LEBC
ASA Congruence Postulate
Alternate Interior Angles Theorem
ZD E LC
Definition of Angle bisector.
For items 11-15, refer to the figure below.
Prove that AABD = AEBC.
C
STATEMENTS
11.
REASONS
16.
12.
17
13.
18
14.
19
15.
Transcribed Image Text:Test III Using the two-column proof, write the appropriate statements or reasons for each diagram. Y ou may choose your answer inside the boxes. (Note: Answers may be repeated more than once.) AABD = AEBC Given AD || EC Vertical Angles Theorem BD = BC SAS Congruence Postulate ZABD = LEBC ASA Congruence Postulate Alternate Interior Angles Theorem ZD E LC Definition of Angle bisector. For items 11-15, refer to the figure below. Prove that AABD = AEBC. C STATEMENTS 11. REASONS 16. 12. 17 13. 18 14. 19 15.
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