Question

Which pairs of triangles can be shown to be congruent using rigid motions?

Answer 1

Answer:

Not congruent; not congruent; congruent; congruent; not congruent; not congruent.

Step-by-step explanation:

The base of △ABC, BC, is 2 units.  The height of △ABC, extending from A to BC, is 3 units.  This means that any triangle congruent to this will have a base of 2 and a height of 3.

△MNP has a base of 2; however, its height (from M to NP) is 4 units.  Therefore they are not congruent.

△EFG has a base of 2 and a height of 4; it and △ABC are not congruent.

△STU has a base of 2 and a height of 3; it is congruent to △ABC.

△EFG has a base of 2 and a height of 4, just as △MNP; they are congruent.

Since △STU is congruent to △ABC, and we know that △EFG is not congruent to △ABC, we know that △EFG is not congruent to △STU.

Since △MNP is congruent to △EFG, and △EFG is not congruent to △STU, then △MNP is not congruent to △STU.

Answer 2

Answer:

Not Congruent: ABC and MNP , ABC and EFG , EFG and STU , STU and MNP.

Congruent: ABC and STU , EFG and MNP.

Step-by-step explanation: