Question

Triangle N L M is reflected over a line to form triangle A B C.
Triangle NLM is reflected over the line segment as shown, forming triangle ABC. Which congruency statement is correct?

ΔNLM ≅ ΔCAB
ΔNLM ≅ ΔCBA
ΔNLM ≅ ΔBCA
ΔNLM ≅ ΔBAC

Answer 1

I can’t tell which is correct without the diagram (which vertex N, L, M maps to A, B, C under the reflection). Could you upload the picture or describe which vertex is reflected to which labeled point?

How to choose the correct option yourself:
- Find where each original vertex (N, L, M) lands after the reflection (which of A, B, C is its image).
- Write the congruence so the vertices on the right are the images of N, L, M in that order:
- If N → C, L → A, M → B then ΔNLM ≅ ΔCAB.
- If N → C, L → B, M → A then ΔNLM ≅ ΔCBA.
- If N → B, L → C, M → A then ΔNLM ≅ ΔBCA.
- If N → B, L → A, M → C then ΔNLM ≅ ΔBAC.

Send the diagram or tell me which point is the image of N, L, and M and I’ll give the exact answer.