Geometry

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)

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  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.

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