Question

Please help me choose if they are a yes or no.

Answer 1

Part A

Answer: Yes

This is the same as saying 2(AB+BC). A more written out version is AB+BC+CD+DA, though it's not needed since the opposite sides are congruent (AB = CD and BC = DA)

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Part B

Answer: Yes

The diagonals of any parallelogram bisect each other. They cut each other in half.

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Part C

Answer: No

The adjacent sides of a parallelogram aren't always equal in length. It only happens when we have a rhombus.

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Part D

Answer: Yes

The angles mentioned are alternate interior angles. They are congruent due to AD and BC being parallel.

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Part E

Answer: Yes

We can use the SSS or SAS congruence theorem to prove these triangles are congruent.

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Part F

Answer: No

These are adjacent angles that aren't always the same measure. Diagonal AC does not bisect angle DAB. This only happens if we had a rhombus.

Answer 2

A)yes

B)yes

c)no

d)yes

e)yes

f)no