Answer :

The angle KLM is congruent to angle XYZ, LMK is congruent to YXZ, and MKL is congruent to ZXY.

If KLM is congruent to XYZ, this means that they have the same size and shape.

To determine the corresponding congruent sides and angles, we need to compare the sides and angles of each triangle.
Starting with the sides, we can use the corresponding letters to identify which sides are congruent.

In this case, K corresponds to X, L corresponds to Y, and M corresponds to Z.
Moving on to the angles, we can use the same letters to identify which angles are congruent. Angle K corresponds to angle X, angle L corresponds to angle Y, and angle M corresponds to angle Z.

Therefore, angle KLM is congruent to angle XYZ, angle LMK is congruent to angle YXZ, and angle MKL is congruent to angle ZXY.
It is important to note that congruent triangles have more than just corresponding congruent sides and angles.

They also have corresponding congruent medians, altitudes, and perpendicular bisectors.
In summary, if KLM is congruent to XYZ, then we can determine the corresponding congruent sides and angles by comparing the sides and angles with the same corresponding letters.
Identify corresponding sides: In congruent triangles, corresponding sides are also congruent. So, side KL corresponds to side XY, side LM corresponds to side YZ, and side KM corresponds to side XZ.
In summary, when triangles KLM and XYZ are congruent, the corresponding congruent sides and angles are as follows:
Angle K ≅ Angle X
Angle L ≅ Angle Y
Angle M ≅ Angle Z
Side KL ≅ Side XY
Side LM ≅ Side YZ
Side KM ≅ Side XZ

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