If triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.
Let's understand what is the congruence of the triangle.
If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
CPCTC stands for corresponding parts of congruent triangles are congruent.
Let's check in the triangle STU and triangle ABC;
triangle STU ≅ triangle ABC
So,
∠S ≅ ∠A
∠T ≅ ∠B
∠U ≅ ∠C
segment ST ≅ Segment AB
segment TU ≅ Segment BC
segment SU ≅ Segment AC
Thus, if triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.
To learn more about the congruence of the triangle visit:
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