Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

write a statement that indicates that the triangles in each pair are co…

Question

write a statement that indicates that the triangles in each pair are congruent.
15)
16)
a) \\( \triangle l m n \cong \triangle l m g \\)
b) \\( \triangle m n l \cong \triangle g m l \\)
c) \\( \triangle l m n \cong \triangle g l m \\)
d) \\( \triangle n l m \cong \triangle m g l \\)
a) \\( \triangle e c d \cong \triangle z y x \\)
b) \\( \triangle e d c \cong \triangle x z y \\)
c) \\( \triangle d e c \cong \triangle z x y \\)
d) \\( \triangle c d e \cong \triangle x y z \\)

Explanation:

15)

Step1: Identify corresponding vertices

In congruent triangles, corresponding vertices are matched. Looking at the triangles in 15), vertex \(M\) in \(\triangle MNL\) corresponds to vertex \(G\) in \(\triangle GML\), vertex \(N\) corresponds to vertex \(L\), and vertex \(L\) corresponds to vertex \(M\).

16)

Step1: Identify corresponding vertices

For the triangles in 16), in \(\triangle ECD\) and \(\triangle ZYX\), vertex \(E\) corresponds to vertex \(Z\), vertex \(C\) corresponds to vertex \(Y\), and vertex \(D\) corresponds to vertex \(X\).

Answer:

  1. B. \(\triangle MNL\cong\triangle GML\)
  2. A. \(\triangle ECD\cong\triangle ZYX\)