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Decide weather there is enough information to prove the following triangles are congruent. Justify your answer for pair of triangles. Is ABC = XYZ? Justify your answer below.

HELPPP Decide weather there is enough information to prove the following triangles are congruent Justify your answer for pair of triangles Is ABC XYZ Justify yo class=

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Answer:

Step-by-step explanation:

they are congruent. sides CB and ZY are congruent. sides AB and XY are congruent. the angle at points C and Z are congruent.

Answer : Yes, there is enough information to prove the following triangles are congruent.

Step-by-step explanation :

The following combinations of the congruent triangle facts  will be sufficient to prove triangles congruent.

The combinations are:

(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.

(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.

(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.

(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

As we are given two triangles.

Prove : ΔABC ≅ ΔXYZ

As,

Side AB = Side XY    (side)

Side BC = Side YZ     (side)

∠C = ∠Z                     (angle)

That means, in this two sides and included angle of a triangle are equal to another triangle then the triangles are congruent.

So, ΔABC ≅ ΔXYZ

Hence, yes, there is enough information to prove the following triangles are congruent.