Question

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

Answer 1

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 BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the Corresponding Angles Theorem. By the __________ 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 __________ Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.

Answer 2

What properties accurately complete the proof?


Addition
Transitive

Reflexive
Reflexive

Substitution
Reflexive

Transitive
Transitive

Answer 3

@jhonyy9

Answer 4

your opinion about this ?

Answer 5

i think its transitive , transitive.

Answer 6

can you justifie it why this ?

Answer 7

thats the part that im not sure about.

Answer 8

how are these opposite angles ?

Answer 9

because they have opposite angles.

Answer 10

so than you remember befor in your past exercise there was the qustion to prove that opposite sides are congruent - yes ?

Answer 11

so from this that opposite sides are congruent so from this result that opposite angles are congruent sure

Answer 12

yess

Answer 13

so than this is right ended

Answer 14

yess.

Answer 15

ok than was my pleasure - bye bye -

Answer 16

so its d?

Answer 17

@jhonyy9

Answer 18

i think its d?