Question

if triangle XYZ and triangle MNO are congruent under the correspondence XYZ MNO write all the corresponding congruent parts of the triangle ​

Answer 1

The corresponding congruent parts of triangles XYZ and MNO are XY-MN, XZ-MO, and YZ-NO.

Step-by-step explanation:

When two triangles are congruent, it means that they have the same shape and size. Under the correspondence XYZ MNO, we need to identify the corresponding congruent parts of the triangles XYZ and MNO.

The corresponding congruent parts are:

• XY corresponds to MN
• XZ corresponds to MO
• YZ corresponds to NO

Answer 2

In congruent triangles XYZ and MNO under the given correspondence, all corresponding angles and sides are congruent: angle X with angle M, angle Y with angle N, angle Z with angle O, and sides XY with MN, YZ with NO, ZX with OM.

Step-by-step explanation:

If triangle XYZ and triangle MNO are congruent under the correspondence XYZ MNO, then all corresponding parts of these triangles are congruent. This means that angle X corresponds to angle M, angle Y corresponds to angle N, and angle Z corresponds to angle O. Likewise, side XY corresponds to side MN, side YZ corresponds to side NO, and side ZX corresponds to side OM. The congruence of these parts is based on the fact that in congruent triangles, all corresponding angles and sides are congruent.