Congruent Triangles Review

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

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What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAA stand for in triangle congruence?

Back

Angle-Angle-Angle: A method that shows triangles are similar but does not prove congruence.

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What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself.

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What is the Definition of Midpoint?

Back

A point that divides a segment into two equal parts.

Front

What is the Vertical Angles Theorem?

Back

States that vertical angles are always congruent.

Front

How can you determine if two triangles are not congruent?

Back

If none of the congruence criteria (SSS, SAS, ASA) are satisfied, the triangles are not congruent.

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What is the significance of congruent triangles in geometry?

Back

They are used to prove other geometric properties and theorems, as well as in real-world applications like engineering and architecture.