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MATH IN DEMAND

HL (Hypotenuse-Leg)

The last Congruence Theorem that we will go over is HL (Hypotenuse-Leg).  This means that two right triangles have a leg and hypotenuse that are respectively equal.  Let's look at the diagram below:
Picture
We can write a congruence statement from the diagram above by stating what we know.  We know that,
Picture
Since we know that all the sides of one triangle are congruent to the other triangle then we can conclude that:
Picture

Example

Given the following triangles, write a congruence statement to show that the triangles are congruent:
Picture
Click HERE to check your answer.
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(C) 2025 MATH IN DEMAND​