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



Select Congruent or Not Congruent for each pair of triangles.

Which pairs of triangles can be shown to be congruent using rigid motions Select Congruent or Not Congruent for each pair of triangles class=

Respuesta :

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:

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

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.