Posted by Adryan on .
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)

Geometry 
Henry,
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.