Determine whether triangle PQR is congruent to triangle STU given the coordinates of the vertices. Explain your conclusion. coordinates of triangle PQR P(0,3) Q(0,-1) R(-2,-1) S(1,2) T(1,-2) U(-1,-2)

Answer 1

We have 2 rt triangles:

X1 = hor = X2 = 2. The hor. sides are
equal.

Y1 = ver = y2 = 4. The ver. sides are
equal.

Z1 = hyp. = Z2 = 4.5. The hyp are equal.

The corresponding sides are equal.
Therefore, the triangles are congruent.

CALCULATIONS:
Triangle # 1, PQR.

Y1 = 3 -(-1) = 3 + 1 = 4.
X1 = 0-(-2) = 2.

Triangle # 2,STU.
Y2 = 2 - (-2) = 2 + 2 = 4.
X2 = 1 - (-1) = 1 + 1 = 2.