Question

Proof theorem help.
I will post question below.


Medal to best answer. Thanks!

Answer 1

The best reason for statement 6 of this proof is
Definition of congruent segments
Definition of an isosceles trapezoid
Definition of parallel lines
CPCTC

Answer 2

I only need help with proof 6. The two pictures show the complete theorem.

Answer 3

This is a proof of the theorem that:
The diagonals of an isosceles trapezoid are congruent.

I know the answer that you need but I'd like to know what you entered for the other blank parts. When doing a proof, you have to know what comes before to justify a particular step.

Answer 4

My teacher only had me fill out 2 of them. I know that #4 is: reflexive property.

Answer 5

Here is the proof so far.

Answer 6

That brings us to the reason for step 6.

Answer 7

I need to ask something.

Have you seen this notation before? CPCTC

Answer 8

@BeccaB003

Answer 9

I have seen CPCTC before but I do not remember what it means.

Answer 10

Okay.

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

When two triangles are congruent, they have the same shape and the same size.

So, if one were pushed onto the other, they would coincide.

In this case, sides AC and BD would coincide.

Answer 11

So, you can write reason 6 as CPCTC or write out what it means.

Corresponding parts of congruent triangles are congruent.

By the way, the word "parts" refers to sides and/or angles of the two triangles.

Answer 12

Of the options you posted above, it is this one:

CPCTC

Answer 13

You are so amazing! I have had a hard time understanding these. You are awesome! You deserve a fan and medal! I have never had someone explain it that well and thoroughly. Thanks!

Answer 14

You are welcome.
I like Geometry and will try to help you when you have other questions if I'm online.