Congruent Triangles 1

Front

What is a congruence statement in geometry?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, meaning they have the same shape and size. It is often written in the form of 'Triangle ABC ≅ Triangle DEF'.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', which is a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What is the significance of marked congruent angles and sides in triangles?

Back

Marked congruent angles and sides indicate that those specific angles and sides are equal in measure, which is essential for proving triangle congruence.

Front

How do you solve for x in a triangle problem?

Back

To solve for x in a triangle problem, you typically set up an equation based on the properties of triangles, such as the sum of angles in a triangle or the relationships between sides.

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

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

Back

The Angle-Side-Angle (ASA) postulate states that 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) postulate?

Back

The Side-Angle-Side (SAS) postulate states that 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 Hypotenuse-Leg (HL) theorem?

Back

The Hypotenuse-Leg (HL) theorem states that 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.

Front

How can you determine if two triangles are congruent using transformations?

Back

You can determine if two triangles are congruent by applying transformations such as translations, rotations, and reflections. If one triangle can be transformed into the other using these methods, they are congruent.