Question

jessica is using cement blocks in the shape of triangular prisms to build a patio. she has sample cement blocks from two companies, and the triangular - shaped faces of the two blocks appear to be congruent. how can jessica verify that they are congruent? select from the drop - down lists to complete the sentence correctly. jessica can place the triangular - shaped faces of the two blocks against each other. they are congruent if choose... of the corresponding sides are congruent and choose... of the corresponding angles are congruent.

Explanation:

To verify if two triangles (the triangular - shaped faces of the blocks) are congruent, we use the triangle congruence criteria. The SSS (Side - Side - Side) criterion states that if all three corresponding sides of two triangles are congruent, the triangles are congruent. The ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and SAS (Side - Angle - Side) criteria also require specific combinations of congruent sides and angles. In general, for a triangle, if all three corresponding sides (three of the corresponding sides) and all three corresponding angles (three of the corresponding angles) are congruent, the triangles are congruent.

Answer:

Jessica can place the triangular - shaped faces of the two blocks against each other. They are congruent if all three of the corresponding sides are congruent and all three of the corresponding angles are congruent.