Question

The hypotenuse of two similar right triangles are segments of the same line. which of these statements is true about the two hypotenuses?

A. Their lengths must be the same, but not their slopes

B. Their slopes must be the same, but not their lengths

C. Both slopes and their lengths must be the same.

D. Neither their slopes nor lengths must be the same.

Answer 1

Answer:

the correct answer is option B

Answer 2

Their slopes must be same, but not their lengths.

• If the hypotenuse of the triangles belong to Triangles that are similar then the scale of length of the sides of the triangle must be different but their slopes will be same.
• Therefore the slope of the hypotenuse will be same but their lengths would be different.
• Not only the hypotenuse, the base and the perpendicular side of the triangle will have the same slopes but different lengths.