Geometry
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)

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.