Question

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

Select Congruent or Not Congruent for each pair of triangles.

Answer 1

Congruent: ABC and STU , EFG and MNP.

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

Good luck on your tests!

Answer 2

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

Step-by-step explanation:

In order to be congruent, the side lengths of both triangles must be equal.

The base of triangle ABC is 2 units. The base of triangle MNP is also 2 units. The height of triangle ABC is 3 units; but the base of triangle MNP is not 3 units, it is 4. The triangles are not congruent.

Similarly, both ABC and EFG have a base of 2 units. However, the height of ABC is 3 while the height of EFG is 4; the triangles are not congruent.

The bases of ABC and STU are both 2 units, and the height of each is 3 units. The triangles are congruent.

The base of EFG is 2, as is the base of MNP. Both triangles also have a height of 4; the triangles are congruent.

The base of EFG is 2 units, as is the base of STU. However, the height of EFG is 4 while the height of STU is 3; the triangles are not congruent.

The base of STU is 2 units, as is the base of MNP. However, the height of STU is 3 while the height of MNP is 4; the triangles are not congruent.