Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

5 Questions

100 Views

Triangle Congruence Rules Flashcards

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What does the Side-Side-Side (SSS) Congruence Theorem state?

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

If three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent. (correct)

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

What does the Side-Angle-Side (SAS) Congruence Theorem state?

If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. (correct)

If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

If three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

What does the Angle-Side-Angle (ASA) Congruence Theorem state?

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

What does the Angle-Angle-Side (AAS) Congruence Theorem state?

<p>If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.</p> Signup and view all the answers

What does the HL theorem state?

<p>If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.</p> Signup and view all the answers

Study Notes

Triangle Congruence Criteria

Side-Side-Side (SSS):
- States that congruence of all three sides of two triangles ensures their overall congruence.
Side-Angle-Side (SAS):
- Establishes that if two sides and the included angle of one triangle match those of another triangle, the triangles are congruent.
Angle-Side-Angle (ASA):
- Claims that congruence of two angles and the side between them leads to congruence of the triangles; the side must be the one formed by the two angles.
Angle-Angle-Side (AAS):
- Involves two angles and a non-included side; if these components are congruent in two triangles, the triangles are congruent.
Hypotenuse-Leg (HL):
- Applies specifically to right triangles, stating that if the hypotenuse and one leg of one triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your understanding of triangle congruence rules with these flashcards. Covering concepts like Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA), this quiz will help reinforce your knowledge of how triangles can be proven congruent. Perfect for geometry students!