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OpenStudy (anonymous):
Howard draws a transversal, t, on two parallel lines AB and CD, as shown below.
OpenStudy (anonymous):
Do you have an image?
OpenStudy (anonymous):
I'm getting it
OpenStudy (anonymous):
Hold on
OpenStudy (anonymous):
Okay. :)
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OpenStudy (anonymous):
OpenStudy (anonymous):
He makes the following table to prove that the alternate interior angles are equal.
OpenStudy (anonymous):
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
?
OpenStudy (anonymous):
Which is the missing justification?
Answer
By reflective property of equality, angle 4 = angle 6.
By transitive property of equality, angle 4 = angle 6.
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.
OpenStudy (anonymous):
I think its C
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OpenStudy (anonymous):
Are those your options then?
OpenStudy (anonymous):
yeah
Parth (parthkohli):
It is C.!
OpenStudy (anonymous):
You're correct. :)
OpenStudy (anonymous):
Yay I feel smart!
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OpenStudy (anonymous):
Thanks guys!
Parth (parthkohli):
No wait! It's D.
OpenStudy (anonymous):
Wait, I think you're right @ParthKohli nevermind.
OpenStudy (anonymous):
It is?
OpenStudy (anonymous):
Oh snap!
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Parth (parthkohli):
Corresponding angles are these:
|dw:1336671758316:dw|