Congruent Figures Practice

Front

What is a congruence statement?

Back

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they can be transformed into each other through rotations, translations, or reflections without changing their size or shape.

Front

What transformation is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific direction.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using criteria such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Angle-Angle (AA) congruence.

Front

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

Back

The SAS criterion states that 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 is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that 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 Angle-Angle (AA) similarity criterion?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar, which implies they are congruent if their corresponding sides are also equal.

Front

What does it mean for a figure to be rotated counterclockwise?

Back

Rotating a figure counterclockwise means turning it in the opposite direction of the clock's hands, typically around a specified point.