Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does the SAS (Side-Angle-Side) theorem state?

Back

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

Front

What does the SSS (Side-Side-Side) theorem state?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does the HL (Hypotenuse-Leg) theorem apply to?

Back

It applies 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, then the triangles are congruent.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

They are equal; corresponding sides and angles of congruent triangles are congruent.

Front

How can you determine if two triangles are congruent using the ASA (Angle-Side-Angle) theorem?

Back

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

Front

What is the value of x if ∠A = 32° and ∠B = 58° in triangle ABC?

Back

x = 90° (since the sum of angles in a triangle is 180°).

Front

What is the definition of corresponding angles in congruent triangles?

Back

Angles that are in the same relative position in two different triangles.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Sides that are in the same relative position in two different triangles.