Question

Please help!!

In the diagram, ΔMTD ≅ ΔGLS . Which statement is true?
∠M ≅ ∠G
DT ≅ LG
DM ≅ SL
∠T ≅ ∠S

Answer 1

∠M ≅ ∠G

Explanation:

Given:

• ΔMTD ≅ ΔGLS

This means that triangle MTD is congruent to triangle GLS.

Two triangles are said to be congruent if:

• all three corresponding sides are equal.
• all three corresponding angles are equal.

Therefore:

• ∠M ≅ ∠G
• ∠T ≅ ∠L
• ∠D ≅ ∠S

Similarly:

• TM ≅ LG
• DT ≅ SL
• DM ≅ SG

Therefore, the true statement is ∠M ≅ ∠G.