Question

Given: $\mathit{\Delta }\mathit{K}\mathit{O}\mathit{P}\mathbf{\cong }\mathit{\Delta }\mathit{M}\mathit{A}\mathit{T}$

Name three pairs of corresponding sides.

Short answer

Three pairs of corresponding sides are$\overline{OK}\cong \overline{AM};\overline{KP}\cong \overline{MT};\overline{PO}\cong \overline{TA}$

Step-by-step solution

- Meaning of congruent triangles

Two triangles are congruent means three sides and three angles of one triangle is congruent to other three sides and three angles of another triangle

- Draw two congruent triangles ΔKOP≅ΔMAT

- Observation from figure

From figure, corresponding sides are $\overline{OK}\cong \overline{AM};\overline{KP}\cong \overline{MT};\overline{PO}\cong \overline{TA}$

Thus, three pairs of corresponding sides are $\overline{OK}\cong \overline{AM};\overline{KP}\cong \overline{MT};\overline{PO}\cong \overline{TA}$