Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

complete the congruence statement. △nlm ≅ △ work it out not feeling rea…

Question

complete the congruence statement.

△nlm ≅ △

work it out

not feeling ready yet? these can help:

submit

Explanation:

Step1: Identify corresponding vertices

In congruent triangles, corresponding angles and sides are equal. In \(\triangle NLM\) and \(\triangle TUV\), \(\angle L = \angle U=64^{\circ}\), \(\angle M=\angle V = 90^{\circ}\), \(\angle N=\angle T = 26^{\circ}\). Also, \(NL = TU = 28\) yd, \(LM=UV = 13\) yd, \(MN=VT = 25\) yd.

Step2: Write the congruence statement

The order of vertices in the congruence statement should match the corresponding vertices. So \(\triangle NLM\cong\triangle TUV\)

Answer:

\(\triangle TUV\)