Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translation, rotation, reflection, and dilation.

Front

Define rotation in the context of transformations.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle in a specified direction.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other through rotations, translations, or reflections.

Front

Explain the concept of reflection in geometry.

Back

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

Front

What is the significance of the y-axis in transformations?

Back

The y-axis is often used as a line of reflection in transformations, where points on the left side of the y-axis are mirrored to the right side.

Front

Define translation in geometry.

Back

Translation is a transformation that slides a figure from one position to another without changing its size, shape, or orientation.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence 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 is the SSS criterion for triangle congruence?

Back

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

Front

Explain the HL theorem in triangle congruence.

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence 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

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.