The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. (RS):R(5,4),S(0,4)

Question

asked Jul 21, 2024 162k views

1 Answer

Pnmn · Answer 1 · 2024-07-26T23:49:24+0000

The length of the segment RS is 5 units and the segments RS is congruent to itself.

To find the length of a segment, we can use the distance formula, which is based on the Pythagorean theorem. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this question, the endpoints of the segment RS are R(5,4) and S(0,4). Using the distance formula, we can find the length of the segment as:

d = √((0 - 5)^2 + (4 - 4)^2) = √((-5)^2 + 0^2) = √(25 + 0) = √25 = 5

Therefore, the length of segment RS is 5. Since the segments have the same length, RS is congruent to itself.