The statement Angle CBA and angle ZXY are congruent is NOT TRUE.
Step-by-step explanation:
The two triangles will be congruent only if every corresponding side has the same length, and every corresponding angle has the same measure.
For example, there are two triangles ABC and XYZ as shown in figure 1.
According to the definition of triangles to be congruent, the side AB of the triangle ABC will be of same length as the side XY of the triangle XYZ, the side BC of the triangle ABC will be of same length as the side YZ of the triangle XYZ and the side CA of the triangle ABC will be of same length as the side ZX of the triangle ZXZ.
Similarly, the angle A of the triangle ABC will have same measure as the angle X of the triangle XYZ, the angle B of the triangle ABC will have same measure as the angle Y of the triangle XYZ and the angle C of the triangle ABC will have same measure as the angle Z of the triangle XYZ.
Since, the angle CBA is B and angle ZXY is X, but angle B of the triangle ABC will have same measure as the angle Y of the triangle XYZ. As the measure of angle B of the triangle ABC does not have the same measure as the angle X of the triangle XYZ. Hence, the Angle CBA and angle ZXY cannot be congruent.
So, the angle CBA and angle ZXY cannot be congruent, hence the statement Angle CBA and angle ZXY are congruent is NOT TRUE.
Learn more about Triangles from brainly.com/question/5720422
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