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 is the Hypotenuse-Leg (HL) theorem?

Back

A theorem stating that if a right triangle has one leg and the hypotenuse congruent to another right triangle's leg and hypotenuse, then the triangles are congruent.

Front

What does it mean for segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

What is a congruence statement?

Back

A statement that indicates two geometric figures are congruent, often written in the form of 'Triangle ABC ≅ Triangle DEF'.

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

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.

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

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

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

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

Front

What is the purpose of proving triangles congruent?

Back

To establish that two triangles are identical in shape and size, which allows for the application of various geometric properties and theorems.

Front

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

Back

Check if one triangle has a hypotenuse and one leg congruent to the hypotenuse and leg of another triangle.

Front

What is the significance of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal, which helps in proving triangle congruence.