Congruent Triangles Practice

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

If two triangles have sides of lengths 5, 12, and 13, are they congruent to another triangle with sides of lengths 5, 12, and 13?

Back

Yes, they are congruent by the SSS theorem.

Front

What is the importance of the order of vertices in triangle congruence?

Back

The order of vertices is important because it indicates which angles and sides correspond to each other in congruent triangles.

Front

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding angles and sides?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F; Side AB = Side DE, Side BC = Side EF, Side AC = Side DF.

Front

What is the relationship between the angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal.

Front

How can you determine if two triangles are congruent using the SSS theorem?

Back

Measure the lengths of all three sides of both triangles; if all three pairs of corresponding sides are equal, the triangles are congruent.