Fill in the blanks in the proof to show that diagonals of a parallelogram bisect each other. Given: DABCD Prove: AC and BD bisect each other at E. Statements 1) ABCD is a parallelogram. 2) AB || DC 3) 21 24; 42 43 4) AB = DC 5) c. _ 6) d. 7) AC and BD bisect each other at E. Reasons 1) Given 2) Definition of a parallelogram 3) a. L 4) ь. 5) ASA 6) CPCTC 7) Definition of bisector The correct choice for Blank c is AABE ADCE AABC = ADCB AABE = ACDE ABCE ADAE

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.CT: Test
Problem 16CT: Complete the proof of the following theorem: The diagonals of an isosceles trapezoid are congruent....
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Fill in the blanks in the proof to show that diagonals of a parallelogram bisect each other.
Given: DABCD
Prove: AC and BD bisect each other at E.
Statements
Reasons
1) ABCD is a parallelogram.
2) AB || DC
3) 21 = 4; L2 = L3
4) AB = DC
1) Given
2) Definition of a parallelogram
3) а.
4) ь. 7
5) ASA
5) c.?
6) d.
6) CPCTC
7) AC and BD bisect each other at E.
7) Definition of bisector
The correct choice for Blank e is
AABE = ADCE
O AABC = ADCB
AABE ACDE
O ABCE ADAE
Transcribed Image Text:Fill in the blanks in the proof to show that diagonals of a parallelogram bisect each other. Given: DABCD Prove: AC and BD bisect each other at E. Statements Reasons 1) ABCD is a parallelogram. 2) AB || DC 3) 21 = 4; L2 = L3 4) AB = DC 1) Given 2) Definition of a parallelogram 3) а. 4) ь. 7 5) ASA 5) c.? 6) d. 6) CPCTC 7) AC and BD bisect each other at E. 7) Definition of bisector The correct choice for Blank e is AABE = ADCE O AABC = ADCB AABE ACDE O ABCE ADAE
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