Question

congruent triangles (topic 5)
which statement is correct?
o △gta≅△qme
o △agt≅△meq
o △agt≅△qme
o △tag≅△emq

Explanation:

Step1: Match corresponding sides

In congruent - triangles, corresponding sides are equal. By observing the tick - marks on the sides of the triangles, we match the sides of the two triangles.

Step2: Determine correct congruence statement

The order of the vertices in a congruence statement matters. The sides with one tick - mark, two tick - marks, and three tick - marks in one triangle should correspond to the sides with one tick - mark, two tick - marks, and three tick - marks respectively in the other triangle. For the given triangles, the correct congruence statement is $\triangle AGT\cong\triangle MEQ$.

Answer:

$\triangle AGT\cong\triangle MEQ$