HL Theorem
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What does HL stand for in the context of triangle congruence?
Back
HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.
2.
FLASHCARD QUESTION
Front
What is the Hypotenuse-Leg (HL) Congruence Theorem?
Back
The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.
3.
FLASHCARD QUESTION
Front
When can we use the HL Congruence Theorem?
Back
The HL Congruence Theorem can only be used for right triangles.
4.
FLASHCARD QUESTION
Front
What is the difference between HL and SAS?
Back
HL is specific to right triangles and requires the hypotenuse and one leg to be congruent, while SAS (Side-Angle-Side) can be used for any triangle where two sides and the included angle are congruent.
5.
FLASHCARD QUESTION
Front
What is a congruence statement?
Back
A congruence statement expresses that two geometric figures are congruent, such as △ABC ≅ △DEF.
6.
FLASHCARD QUESTION
Front
Can the HL Congruence Theorem be used to prove triangles congruent?
Back
Yes, if the conditions of the theorem are met, the triangles can be proven congruent.
7.
FLASHCARD QUESTION
Front
What is the significance of the reflexive property in triangle congruence?
Back
The reflexive property states that a side or angle is congruent to itself, which is often used in proofs involving shared sides or angles.
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