Question

1. Two triangles have the following congruence statement: ACGI = AMPR Name all 6 pairs of corresponding congruent parts. 1.​

Answer 1

`\angle C \cong \angle M`

`\angle G \cong \angle P`

`\angle I \cong \angle R`

`\overline{CG} \cong \overline{MP}`

`\overline{GI} \cong \overline{PR}`

`\overline{CI} \cong \overline{MR}`

Explanation:

Given the congruence statement ∆CGI
`\cong` ∆MPR, it follows that the corresponding sides of both ∆s are equal, as well as the corresponding vertices or angles. It implies that ∆CGI and ∆MPR are of the same shape and size.

✅Thus, the 6 pairs of the corresponding congruent parts of ∆CGI and ∆MPR are:

`\angle C \cong \angle M`

`\angle G \cong \angle P`

`\angle I \cong \angle R`

`\overline{CG} \cong \overline{MP}`

`\overline{GI} \cong \overline{PR}`

`\overline{CI} \cong \overline{MR}`