Transformations & Triangle Congruence Review

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.

Front

What are the four main types of transformations?

Back

Translation, Rotation, Reflection, and Dilation.

Front

Define translation in geometry.

Back

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

Front

What does it mean to reflect a shape over the x-axis?

Back

To reflect a shape over the x-axis means to flip it over the x-axis, changing the sign of the y-coordinates of each point.

Front

What is the result of reflecting the point (6, -3) over the x-axis?

Back

The result is (6, 3).

Front

What is a reflection across the y-axis?

Back

A reflection across the y-axis means to flip a shape over the y-axis, changing the sign of the x-coordinates of each point.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation turns a shape 90 degrees to the left around a fixed point.

Front

What is triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Front

What are the criteria for triangle congruence?

Back

The criteria are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).