Review: Transformations, Dilations, Similar and Congruent Fi

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size; their corresponding angles are equal and corresponding sides are proportional.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size; all corresponding sides and angles are equal.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

How do you translate a point (x, y) right by a units and up by b units?

Back

To translate a point (x, y) right by a units and up by b units, the new point will be (x + a, y + b).