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.

- anonymous

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- schrodinger

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- anonymous

Uploading the rest.

- anonymous

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

- anonymous

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## More answers

- anonymous

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.

- campbell_st

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...

- anonymous

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

- campbell_st

well you have proven Angle 2 = angle 4
and angle 4 = angle 6
therefore angle 2 has to equal angle 6.

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

kindly justify?

- anonymous

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

- anonymous

Or what to do.

- anonymous

do you agree 2=4 and 4=6?

- anonymous

Yes

- anonymous

so can we say 2=6?

- anonymous

Right

- anonymous

and what kind of angles are 2 and 6 ?

- anonymous

Congruent?

- anonymous

exactly

- anonymous

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

- anonymous

your answers are almost with you

- anonymous

Yes

- anonymous

does that help?

- anonymous

To be honest it lost me.

- anonymous

Wait is it the second choice?

- anonymous

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

- anonymous

Wait is it the second choice?

- anonymous

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

- anonymous

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

- anonymous

Do you have time to help me with another one?

- anonymous

sure

- anonymous

Okay

- anonymous

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

- anonymous

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

- anonymous

@psi9epsilon @BIGDOG96

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