SOLUTION: Given: line WJ is congruent to line kz, and w and angle k are right angles prove: triangle jwz is congruent to triangle zkj hint: 4 steps

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Question 173953: Given: line WJ is congruent to line kz, and w and angle k are right angles
prove: triangle jwz is congruent to triangle zkj
hint: 4 steps
Answer by gonzo(654) (Show Source):
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from the information provided, it looks like these triangles are formed by taking a rectangle and drawing a diagonal from one corner to the other.
the rectangle would be JKZW going clockwise from J which is in the upper left corner of the rectangle.
the diagonal is JZ.
we given that WJ = ZK.
these are the two vertical lines on the left side and right side of this rectangle.
we are also given that angle W and angle K are right angles.
there may be a couple of ways of proving that triangle JWZ is congruent to triangle ZKJ, but one way is to use the hypotenuse leg theorem.
that theorem is:
any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
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the congruent legs are JW and KZ.
the congruent hypotenuse are JZ and JZ (the same diagonal applies to both triangles).
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