Question

PLEASE ANYONE HELP!
Given the diagram below with ∠5 ≅ ∠6 and ∠6 ≅ ∠4, prove that AD||BC Use the two-column proof format.
Picture attached.

Answer 1

Given: Diagram as shown;
∠5 ≅ ∠6 and ∠6 ≅ ∠4

Prove: SegmentAD || Segment BC

Answer 2

Statements
----------
1. ∠5 ≅ ∠6
2. ∠6 ≅ ∠4
3. Therefore, <5 ≅ <4
4. Segment AD || Segment BC

Answer 3

Check the statements.

Your Task: Write the reasons. I'll check them if you like after you finish.

Answer 4

@RH

Answer 5

THANK YOU SO MUCH! I'll write them now! THANK YOU THANK YOU THAAAANK YOU! :)

Answer 6

Reasons:
1)Given
2)Given
3)Angle addition postulate
4)CPCTC (I am not sure about this :(! )

Answer 7

@Directrix

Answer 8

Reasons 3 and 4 are not correct.

Answer 9

For reason 3, look at statements one and two.

Two angles congruent to the same angle are congruent to each other is known as which property?

Answer 10

Is it definition of congruence?

Answer 11

I am sorry for bothering you :(

Answer 12

and thank you for helping!

Answer 13

The property begins with the letter "T"

Answer 14

m∠4 = m∠A + m∠B - Exterior Angle Theorem
can this be added to the proof?

Answer 15

and ends with "of Congruence." So, you are on the right track.

Answer 16

the transitive property of congruence?

Answer 17

>m∠4 = m∠A + m∠B - Exterior Angle Theorem
can this be added to the proof?

No. We are not doing anything with triangles. We are working with parallel lines.

Answer 18

>the transitive property of congruence

Yes, this is correct for reason 3.

Answer 19

Thank you! :)

Answer 20

Now, this > 4. Segment AD || Segment BC

Look at the diagram. What kind of angles are angles 5 and 4 with respect to segments AD and BC and transversal AB?