BIGDOG96
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.
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BIGDOG96
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Uploading the rest.
BIGDOG96
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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
BIGDOG96
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BIGDOG96
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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
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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...
BIGDOG96
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So the answer is? Don't mean to be hard but you kinda confused me.
campbell_st
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well you have proven Angle 2 = angle 4
and angle 4 = angle 6
therefore angle 2 has to equal angle 6.
BIGDOG96
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Oh okay...but that's not a choice.
psi9epsilon
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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
BIGDOG96
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Sorry but I'm still confused. I'm really sorry.
psi9epsilon
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kindly justify?
BIGDOG96
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I don't understand how to get the right answer.
BIGDOG96
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Or what to do.
psi9epsilon
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do you agree 2=4 and 4=6?
BIGDOG96
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Yes
psi9epsilon
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so can we say 2=6?
BIGDOG96
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Right
psi9epsilon
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and what kind of angles are 2 and 6 ?
BIGDOG96
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Congruent?
psi9epsilon
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exactly
psi9epsilon
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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
psi9epsilon
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your answers are almost with you
BIGDOG96
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Yes
psi9epsilon
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does that help?
BIGDOG96
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To be honest it lost me.
BIGDOG96
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Wait is it the second choice?
psi9epsilon
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read the reasoning above , and you have the basic information to solve the question,
BIGDOG96
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Wait is it the second choice?
psi9epsilon
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1 and 3, there for 2 and 4, is the closest match, 1 and 3 form a vertically oppo angle pair
BIGDOG96
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Thanks I would give you a medal but IDK how, I new.
BIGDOG96
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Do you have time to help me with another one?
psi9epsilon
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sure
BIGDOG96
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Okay
-GeoIzHard-
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@BIGDOG96 so what was the answer.........
-GeoIzHard-
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Was it Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4?
-GeoIzHard-
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@psi9epsilon @BIGDOG96