Question

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

Answer 1

According to the given information, and . 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.

Answer 2

What angles accurately complete the proof?
Select one:
a.
BCD and CDA
CDA and BCD
b.
BCD and PBC
PBC and BAD
c.
PBC and CDA
CDA and BAD
d.
PBC and BAT
BAT and BAD

Answer 3

@uri @thomaster @ganeshie8

Answer 4

any guess,
first of all did u make the construction they asked ? :)

Answer 5

```
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.
```

Answer 6

??

Answer 7

yeah i did

Answer 8

but i don't get it