Posted by **Adryan** on Tuesday, December 14, 2010 at 5:05pm.

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**, Wednesday, December 15, 2010 at 6:55pm
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.

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