Question

Help with a geometry proof! PLEASE HELP!

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

Answer 1

@amistre64 @ganeshie8

Answer 2

@thomaster @myininaya @mathstudent55

Answer 3

Is there a figure?

Answer 4

yes let me post it

Answer 5

What is given, and what are you trying to prove?

Answer 6

segment AB is parallel to segment DC

Answer 7

oh yeah and there are answer choices

Answer 8

A.Addition
Transitive


B.Reflexive
Reflexive


C.Substitution
Reflexive


D.Transitive
Transitive

Answer 9

Is this a two column proof?
If so, can you write it so I can see what the two columns are.
Also, I don't even know what you are looking for? Is it a missing reason?

Answer 10

its a paragraph proof

Answer 11

you are supposed to find the missing property of the proof

Answer 12

Ok. what do you need to do? Fill in the "________" you left above?

Answer 13

yeah

Answer 14

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

Answer 15

I'm doing this just so I can read the info.

Answer 16

ok

Answer 17

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 18

Ok, I got it.

Answer 19

thats the part right after the part that says the alternate interior theorem

Answer 20

What property is this:

If a = b, and b = c, then a = c?

Answer 21

substitution?

Answer 22

Substitution does work, but there is another property that works.

Answer 23

which?

Answer 24

I have a question for you.
Why does each of your choices have two names of properties?
For example, why is A. Addition, Transitive?

Answer 25

i posted it just now

Answer 26

Is there another blank that we need to fill and they are giving us the two answers in each choice?

Answer 27

it would only let me type 600 characters there was a little more