Question

URGENT!!

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



Select Congruent or Not Congruent for each pair of triangles.

Congruent Not Congruent
△ABC and △UVW
△ABC and △GHJ
△ABC and △PQR
△GHJ and △UVW
△GHJ and △PQR
△PQR and △UVW

Answer 1

not congruent,

not congruent

congruent

congruent

not congruent

not congruent

Answer 2

`\triangle ABC` and
`\triangle UVW` are not congruent.

△ABC and △GHJ are not congruent.

△ABC and △PQR are congruent

△GHJ and △UVW are congruent

△GHJ and △PQR are not congruent

△PQR and △UVW are not congruent.

Explanation:

From the graph, we observe that the congruent triangles are

`\triangle GHJ \cong \triangle UVW\\\\\triangle BAC \cong \triangle QPR`

Because they have the same dimensions.

Based on this congruence, each answer would be

`\triangle ABC` and
`\triangle UVW` are not congruent.

△ABC and △GHJ are not congruent.

△ABC and △PQR are congruent

△GHJ and △UVW are congruent

△GHJ and △PQR are not congruent

△PQR and △UVW are not congruent.