
Congruence Statement + HL
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is a congruence statement?
Back
A congruence statement is a mathematical statement that indicates two geometric figures are congruent, meaning they have the same shape and size. For example, if triangle ABC is congruent to triangle XYZ, it can be written as ∆ABC ≅ ∆XYZ.
2.
FLASHCARD QUESTION
Front
What does the HL theorem state?
Back
The HL (Hypotenuse-Leg) 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
What are the conditions for triangle congruence?
Back
The conditions for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg) for right triangles.
4.
FLASHCARD QUESTION
Front
If ∆ABC ≅ ∆XYZ, what can be inferred about their corresponding sides?
Back
If ∆ABC ≅ ∆XYZ, then the corresponding sides are congruent: AB ≅ XY, BC ≅ YZ, and AC ≅ XZ.
5.
FLASHCARD QUESTION
Front
What does it mean for triangles to be congruent?
Back
Triangles are congruent if they have the same size and shape, which means their corresponding angles and sides are equal.
6.
FLASHCARD QUESTION
Front
What is the significance of the HL theorem in proving triangle congruence?
Back
The HL theorem is significant because it provides a specific criterion for proving the congruence of right triangles, which is simpler than using other methods.
7.
FLASHCARD QUESTION
Front
What is the relationship between angles in congruent triangles?
Back
In congruent triangles, corresponding angles are equal. For example, if ∆ABC ≅ ∆XYZ, then ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.
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