Question

math help please

Answer 1

The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent:

Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD.

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Using a straightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles ______________ are congruent by the Alternate Interior Angles Theorem. Angles ______________ are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the Alternate Interior Theorem. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.

What angles accurately complete the proof?


BCD and CDA
CDA and BCD

BCD and PBC
PBC and BAD

PBC and CDA
CDA and BAD

PBC and BAT
BAT and BAD

Answer 2

@ILovePuppiesLol

Answer 3

THAT'S IT, I NEED AN ADULT... Proofs...

Answer 4

wot grade? .-.

Answer 5

@thesexydude22

Sorry for taking so long! It took me a while to get my hands on pen and paper so I could think about this proof properly.

I will attempt to describe how you do this the best I can :)

First, we'll draw out the parallelagram with the additional P and T points:

Answer 6

Once we have this picture, all we need to look at is the:
"Angles ______________ are congruent by the Alternate Interior Angles Theorem. Angles ______________ are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality, angles BCD and BAD are congruent." section

Here we want to know how BCD and BAD are congruent...

I will draw out all the angles that are congruent to BCD and BAD:

Answer 7

We can see from this that the angles: CDA and BAT are useless because they are not congruent to the angles that we want.

Because of this, you can assume that any option with CDA or BAT is not your answer.

This should get you to your answer, if you get stuck, tag TheSmartOne to help you