Question

Lesson 10: Congruent Triangles ._.

Answer 1

#1 is A
#2 IS c
#3 is B

Answer 2

Explanation:

The congruence
`MN \cong PR` is false, because they are not corresponding sides.

The corresponding sides are:

`MN \cong PQ\\NO \cong QR\\MO \cong PR`

On the other hand, if
`\triangle ABC \cong \triangle PQR`, then
`\angle Q \cong \angle B`.

We know that
`m\angle Q=8v-6` and
`m \angle B=3v+4`, but they are equal, so

`8v-6=3v+4\\8v-3v=6+4\\5v=10\\v=2`

Then,

`m\angle Q=8v-6=8(2)-6=16-6=10\\m \angle B=3v+4=3(2)+4=6+4=10`

Therefore, those angles are equal to 10°.

In the second image, the given triangles have the following congruence:

`\angle DAB \cong \angle CAB\\\angle DBA \cong \angle CBA`

Also, they have side AB in common.

Therefore,
`\triangle ABC \cong \triangle ABD`, by ASA.