Question

PLEASE HELP ASAPPP

Line d is parallel to line c in the figure below.
Which statements about the figure are true? Check all that apply.


Vertical angles prove that <2 = <5

In the two similar triangles, <1 and <4 are corresponding angles.

Vertical angles prove that <3=<6.

The triangles are similar because alternate interior angles are congruent.

In the two similar triangles, <2 and <4 are corresponding angles.

The triangles are similar because corresponding sides are congruent.

Answer 1

The correct answers are 2,3, and 4.

(if not 4, then the last one)

Answer 2

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

Explanation:

When line d is parallel to line c.

We have to find the true statements about the figure.

Then,
`\angle 3=\angle 6`(Vertical angles are equal)

`\angle 1=\angle 4`

`\angle 2=\angle 5`

Reason: Alternate interior angles

Two triangles are similar by AA postulate

Reason:Alternate interior angle are congruent.

Option C and D are true.

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.