Question

Howard draws a transversal, t, on two parallel lines AB and CD, as shown below.


He makes the following table to prove that the alternate interior angles are equal.

Statement Justification
angle 2 = angle 6 Corresponding angles of parallel lines are congruent.
angle 2 = angle 4 Vertical angles are congruent.
angle 4 = angle 6 ?
Which is the missing justification? (5 points)


Corresponding angles formed by a transversal on two parallel lines are equal.
Alternate exterior angles formed by a transversal on two parallel lines are equal.
By transitive property of equality,

Answer 1

Howard draws a transversal, t, on two parallel lines AB and CD, as shown below.


He makes the following table to prove that the alternate interior angles are equal.

Statement Justification
angle 2 = angle 6 Corresponding angles of parallel lines are congruent.
angle 2 = angle 4 Vertical angles are congruent.
angle 4 = angle 6 ?
Which is the missing justification? (5 points)


Corresponding angles formed by a transversal on two parallel lines are equal.
Alternate exterior angles formed by a transversal on two parallel lines are equal.
By transitive property of equality, angle 4 = angle 6.
By reflective property of equality, angle 4 = angle 6.

Answer 2

@TGstudios

Answer 3

i have to go

Answer 4

@3mar

Answer 5

hello!

Answer 6

is it A

Answer 7

Hello
Well, I am here.

Answer 8

i think the answer is A

Answer 9

check or answer with details?

Answer 10

check

Answer 11

Ok

Answer 12

What is the answer of Howard?

Answer 13

You chose #?

Answer 14

@ItryMath

Answer 15

sorry

Answer 16

I choose A

Answer 17

@3mar

Answer 18

It would B, not A as angles 4 and 6 are two interior angles of two parallel lines at the different sides of traversal.

This would help you.
http://www.mathsisfun.com/geometry/consecutive-interior-angles.html

Answer 19

ooo
okay

Answer 20

thanks!

Answer 21

Thank you for learning!

Did you get it?

Answer 22

yes

Answer 23

I am happy to hear that.

Answer 24

Thank you for the medal!