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The HL Congruence Theorem considers a leg and the hypotenuse of a right triangle.
Enough information is given.
Explanation: See solution.
According to the HL Congruence Theorem, if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second triangle, then the two triangles are congruent.
From the diagram we see that our right triangles have a shared hypotenuse. Therefore, by the Reflexive Property of Congruence, we know these sides are congruent.
Since the hypotenuse and a leg of â–³ WXZ is congruent to the hypotenuse and a leg of â–³ YZX, the triangles are congruent by the HL Congruence Theorem.
Statement
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Reason
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1. &∠WXZ is a right triangle & ∠YZX is a right triangle &WX≅ YZ
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1. Given
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2. XZ≅ XZ
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2. Reflexive Property of Congruence
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3. △ WXZ ≅ △ YZX
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3. HL Congruence Theorem
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