Question

If triangle ABC is congruent to XYZ, which statement is always true

Answer 1

Answer:

B.

Step-by-step explanation:

BC and YZ are the two angles at the end of both equations, and will always line up in the triangle.

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Answer 2

Given that triangle ABC is congruent to triangle XYZ, the statement from the given options that is always true is:

B. $\mathbf{\overline{BC} \cong \overline{YZ}}$

Recall:

• Congruent triangles have all pairs of corresponding angles and side equal.

Thus, given that triangle ABC and triangle XYZ are congruent to each other, it means that:

<A is congruent to <X

<B is congruent to <Y

<C is congruent to <Z

AB is congruent to XY

BC is congruent to YZ

AC is congruent to XZ

Therefore, given that triangle ABC is congruent to triangle XYZ, the statement from the given options that is always true is:

B. $\mathbf{\overline{BC} \cong \overline{YZ}}$

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