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? (5 points)

1. BCD and CDA
2. CDA and BCD

1. BCD and PBC
2. PBC and BAD

1. PBC and CDA
2. CDA and BAD

1. PBC and BAT
2. BAT and BAD

Question

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? (5 points)

1. BCD and CDA
2. CDA and BCD

1. BCD and PBC
2. PBC and BAD

1. PBC and CDA
2. CDA and BAD

1. PBC and BAT
2. BAT and BAD

Timmyspu · Answer

What do you know about this? Also welcome to question cove!

tonysmith · Answer

i dont really know much lol im bad at math, like really horrible...

Timmyspu · Answer

Ok, so which ones cane you cross off as wrong answers.

tonysmith · Answer

im sorry lol im being no help right now, im so dumb, but i honestly dont know...

Timmyspu · Answer

@jhonyy9 is here and he is really good at math, because I am not the best at math.

tonysmith · Answer

okay, he isnt responding to my question though

Timmyspu · Answer

You have to be patient.

jhonyy9 · Answer

so like a first step you need draw this parallelogram ABCD how is shown there 
ok ?

tonysmith · Answer

okay

jhonyy9 · Answer

so than please post it here for i can help you explain to you

jhonyy9 · Answer

|dw:1608355575233:dw|

so look pls on this my above posted image and hope you will can solve the posted problem more understandably easy

jhonyy9 · Answer

@Timmyspu

jhonyy9 · Answer

@justus what you think about this pls. ?

justus · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @jhonyy9
Created with RaphaëlABCDPTReply Using Drawing

so look pls on this my above posted image and hope you will can solve the posted problem more understandably easy
$\color{#0cbb34}{\text{End of Quote}}$
That's right.