Question

Jazz 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.

Answer 1

Uploading the rest.

Answer 2

Statement

Justification
angle 2 = angle 6

Corresponding angles of parallel lines are congruent.
angle 2 = angle 4

?
angle 4 = angle 6

transitive property of equality,
angle 2 = angle 6,
angle 2 = angle 4,
therefore angle 4 = angle 6

Answer 3

Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4.

Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4.

Angles 1 and 4 and angles 1 and 2 are supplementary; therefore, angle 2 is equal to angle 4.

Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4.

Answer 4

Angle 2 = Angle 4 as they are vertically opposite angles.... (sometimes called vertical angles) opposite sides of the vertex are congruent.

Angle 4 = Angle 6 interior alternate angles in parallel lines are congruent.

thats about the all there is...

Answer 5

So the answer is? Don't mean to be hard but you kinda confused me.

Answer 6

well you have proven Angle 2 = angle 4

and angle 4 = angle 6

therefore angle 2 has to equal angle 6.

Answer 7

Oh okay...but that's not a choice.

Answer 8

2=4, 6=8,1=3,5=7 are all Opp. angle which are congruent
also 4 = 6 BECAUSE of two parallel lines and a kind a Z formation

hint look for z formations always in a transveral, it will give you lots of information

Answer 9

Sorry but I'm still confused. I'm really sorry.

Answer 10

kindly justify?

Answer 11

I don't understand how to get the right answer.

Answer 12

Or what to do.

Answer 13

do you agree 2=4 and 4=6?

Answer 14

Yes

Answer 15

so can we say 2=6?

Answer 16

Right

Answer 17

and what kind of angles are 2 and 6 ?

Answer 18

Congruent?

Answer 19

exactly

Answer 20

we proved that they are congruent now take a careful look start from left i.e. from point A, come down and move toward ray D , does that look like a Z

Answer 21

your answers are almost with you

Answer 22

Yes

Answer 23

does that help?

Answer 24

To be honest it lost me.

Answer 25

Wait is it the second choice?

Answer 26

read the reasoning above , and you have the basic information to solve the question,

Answer 27

Wait is it the second choice?

Answer 28

1 and 3, there for 2 and 4, is the closest match, 1 and 3 form a vertically oppo angle pair

Answer 29

Thanks I would give you a medal but IDK how, I new.

Answer 30

Do you have time to help me with another one?

Answer 31

sure

Answer 32

Okay

Answer 33

@BIGDOG96 so what was the answer.........

Answer 34

Was it Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4?

Answer 35

@psi9epsilon @BIGDOG96