The hypotenuses 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 their slopes and their lengths must be the same. D. Neither their slopes nor their lengths must be the same.

Question

Mathematics

Gordon Melendez

8 April, 17:02

The hypotenuses 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 their slopes and their lengths must be the same. D. Neither their slopes nor their lengths must be the same.

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Answers (1)

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Chasity Hopkins · Answer 1

B

Step-by-step explanation:

The two right triangles are congruent but may have different lengths but they will have the same angles.

The two similar right triangles can have a different hypotenuse length, but the slope will remain the same.