Proof: Given: Segment PA is congruent to Segment KA and Segment LA is congruent to...

[CircusBabyBallora]

Given: Segment PA is congruent to Segment KA and Segment LA is congruent to Segment NA
Prove: Segment AX is congruent to Segment AY

 

[lookagain]

You might start with showing triangle PLA is congruent to triangle NKA.

If you had side, angle, side (S.A.S.), you could do that. Look at angle PAL and angle NAK.

They are one of the pairs of vertical angles. Then look for corresponding parts of
congruent triangles.

Please show some of your work here and any questions so far.

 

[pka]

You might start with showing triangle PLA is congruent to triangle NKA.

Actually \(\displaystyle \Delta PLA\not \cong \Delta NKA\) the corresponding parts are incorrect.

It is true that \(\displaystyle \Delta PLA \cong \Delta KNA\). The correspondences there are correct.