Question

13. Triangle REM has vertices with R(1, -7), Elx, now, and M(4,0) Determine and state a value of x that would make triangle REM a right triangle. Justify why AREM is a right triangle. (The use of the set of axes below is optional.]

Answer 1

The values for x

at R is 4 , the new coordinate is (4 ,-7)

at M is 4 , the new coordinate is (4, 0)

at E is 11, the new coordinate is (11, -7)

AREM is a right angle because MR is parallel to y-axis , RE is parallel to x- axis, MR and RE are perpendicular to each other

The intial MR is translate 3 units to the right to make it parallel to the y-axis

RE is translated 3 units to the right and and upward to make it parallel to the x - axis

MR

slope = 0 - (-7) / 4 - 1 = 7/3

RE slope

= -7 - (-10) / 1 - 8 = -3/7

MR slope is perpendicular to RE slope