Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Proving Triangle Congruence by SSS
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Exercise 5 Page 622

The HL Congruence Theorem considers a leg and the hypotenuse of a right triangle.

Enough information is given.
Explanation: See solution.

Practice makes perfect
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. We see that the hypotenuses are congruent:

AC ≅ FD We also see that two legs are congruent: AB ≅ EF Since the hypotenuse and a leg of one right triangle is congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent by the HL Congruence Theorem.