Question

http://prntscr.com/8s4rqx

Answer 1

According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the ________________. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The Side-Angle-Side (SAS) Theorem says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent.

Which of the following completes the proof?

Alternate Interior Angles Theorem
Converse of the Alternate Interior Angles Theorem
Converse of the Same-Side Interior Angles Theorem
Same-Side Interior Angles Theorem

I put C but I'm not too sure

Answer 2

@jim_thompson5910

Answer 3

Sorry the website isn't working too well. I just noticed this notification just now

Answer 4

Yeah, the website is sucky on my end too.

Answer 5

choice C is correct

see page 2 of this PDF

http://www.nhvweb.net/nhhs/math/mschuetz/files/2012/11/Section-3-3-2012-2013.pdf

it says:

`If two lines and a transversal form same-side interior angles that are supplementary, then the lines are parallel.`

Answer 6

thank you for all your help.

Answer 7

you're welcome