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Geometry 12 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (anonymous):

Which is the missing justification? Select one: a. Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4. b. Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4. c. Vertical angles are congruent. d. Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4.

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

Again Prowrestler, angle 1 and 3 are vertical angles, supplementary angles are angles that either form a straight line or equal 180 degrees, so A) is incorrect

OpenStudy (anonymous):

are you a teacher

OpenStudy (anonymous):

Not yet, i'm in the credential program at CSUB

OpenStudy (anonymous):

so wats the answer to this one

OpenStudy (anonymous):

What is the relation between 1 and 3.... I mentioned it above

OpenStudy (anonymous):

2 is equal to angle 4

OpenStudy (anonymous):

Yes, 2 is congruent to 4, but the reason why is that they are vertical angles, or angles directly opposite the vertex

OpenStudy (anonymous):

so its between A and B

OpenStudy (anonymous):

No it's not A. I wrote earlier that 1 and 3 are vertical angles, NOT supplementary angles, therefore A is automatically wrong.

OpenStudy (anonymous):

so it B right?

OpenStudy (anonymous):

Unfortunately, No, I believe the answer is C. B is true, but the statement you provided says angle 2 = angle 4, that would be because vertical angles are congruent.

OpenStudy (anonymous):

ok thx

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