Question

If △STU ≅ △HIJ, then what corresponding parts are congruent?

Answer 1

When two triangles are congruent, their corresponding parts are equal in measure or length, including the sides and angles.

Step-by-step explanation:

If △STU ≅ △HIJ, then it means that triangle STU is congruent to triangle HIJ. When two triangles are congruent, it means that their corresponding parts are equal in measure or length.

So, in this case, the corresponding parts that are congruent would be:

Side ST is congruent to side HI

Side TU is congruent to side IJ

Side US is congruent to side HJ

In addition to the sides, the corresponding angles of the triangles would also be congruent. So, angle S would be congruent to angle H, angle T would be congruent to angle I, and angle U would be congruent to angle J.

Answer 2

In congruent triangles △STU and △HIJ, the corresponding sides (ST=HI, SU=HJ, TU=IJ) and corresponding angles (∠S=∠H, ∠T=∠I, ∠U=∠J) are congruent.

Step-by-step explanation:

If △STU ≅ △HIJ, then the corresponding parts that are congruent include three sides and three angles. This means the following parts are congruent:

• Side ST is congruent to side HI.
• Side SU is congruent to side HJ.
• Side TU is congruent to side IJ.
• Angle S (∠STU) is congruent to Angle H (∠HIJ).
• Angle T (∠TUS) is congruent to Angle I (∠IJH).
• Angle U (∠UST) is congruent to Angle J (∠JIH).

These are known as corresponding parts in congruent triangles, and it is a fundamental aspect of congruence in geometry that corresponding angles and sides are equal in measure.