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Hypotenuse-Leg Lesson
High School
Created on September 24, 2024
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Transcript
Congruence Postulate
Hypotenuse-Leg
Apply the HL Postulate to determine whether two right triangles are congruent
Recognize when to use the congruence shortcut HL
Congruence Postulate
Hypotenuse-leg
Objectives
△ABC ≅ △DEF
CONCLUSION:
∠A and ∠D are right angles AB ≅ DE BC ≅ EF
GIVEN:
Congruence Postulate
Hypotenuse-leg
If the hypotenuse and a leg of one right triangle is congruent to the hypotenuse and a leg of another right triangle, then the two triangles are congruent.
Compare the triangles below and determine whether they are congruent by Hypotenuse-Leg (HL).
Congruence Postulate
Hypotenuse-leg
Compare the triangles below and determine whether they are congruent by Hypotenuse-Leg (HL).
Congruence Postulate
Hypotenuse-leg
Compare the triangles below and determine whether they are congruent by Hypotenuse-Leg (HL).
Congruence Postulate
Hypotenuse-leg
To use HL, you need to know the hypotenuses are congruent, and ONE of the legs is congruent to the corresponding leg on the second triangle.
The hypotenuse is the side opposite the right angle. It is always the longest side of the triangle.
HL can only be used to prove two RIGHT triangles are congruent
Reminders