How do I do this flow chart, I don't know how to find congruent parts

Question

Two column triangle YXV and UWV

Given: line YW and line UX bisect each other

Prove: line YX congruent to line WU

line YV congruent to line WV

def of a bisector

?

def of a bisector triangle YXV congruent to triangle WUV line YX congruent to line WU

? ?

?

vertical angles

Answer 1

Hi Sarah,

You can prove that the two triangles are congruent by SAS postulate

For that you should prove that the corresponding two sides and included angle are congruent.

Line YV congruent to line WV- def of bisector

First ? Would be:

Line XV congruent to line UV - def of bisector

Angle XVY congruent to angle UVW - vertical angles

Triangle YXV congruent to triangle UWV - SAS Congruence Theorem

line YX congruent to line WU - CPCTC

Hope this helps.

I don’t follow the remaining order in which you’ve marked the ? but I’ve given you the entire proof. I hope you’re able to understand and fill in the blanks(?).