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WORKSHEET 6.2 – Properties of Parallelograms
Name: ______________________________ Hour: __________ Date: ______________
SECTION 1: Use the diagram to fill in each blank about parallelogram AEIO. Give
a reason (theorem or definition) for each answer.
1) OA ≅ _________. Reason: __________________________
2) ∠AEI ≅ _________. Reason: ________________________
3) AU ≅ _________. Reason: __________________________
4) IO
_________. Reason: __________________________
5) ∠EOI ≅ _________. Reason: ________________________
SECTION 2: Find the value of each variable in the parallelogram.
6)
7)
8)
9)
10)
11)
12)
SECTION 3: Write a two column proof.
You are proving
Theorem 6.4, so you
may not use Theorem
6.4 in your proof!
13) GIVEN: ABCD is a parallelogram
PROVE: ∠C and ∠D are supplementary
STATEMENTS
REASONS
You are proving
Theorem 6.5, so you
may not use Theorem
6.5 in your proof!
14) GIVEN: ABCD is a parallelogram
PROVE: AE ≅ CE and BE ≅ DE
STATEMENTS
REASONS