Question

A triangle is congruent to another triangle. Which of the following statement is true?

• A. Their corresponding sides are proportional
• B. Their corresponding sides are equal
• C. Their corresponding area are equal
• D. All of the above

Answer 1

Answer:

D. All of the above

The correct answer is Option D (All of the above). When two triangles are congruent, it means they are identical in every way—like "twins" of the same shape and size. Because they are exact copies, all the statements in the list become true. ## Why each statement is true: * B: Their corresponding sides are equal: This is the basic definition of congruence. If you place one triangle on top of the other, every side will match exactly. * C: Their corresponding area are equal: Since the base and height of both triangles are identical, their areas must also be the same. * A: Their corresponding sides are proportional: While "proportional" is usually used for similar triangles (where one is a zoomed-in version of another), it is still true for congruent triangles. In this case, the ratio is simply 1:1.