Transformations, Congruence, & Similarity

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

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

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other using rigid transformations.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size, meaning one can be obtained from the other by dilation.

Front

What is a dilation in geometry?

Back

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

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a shape over a line, while a rotation turns a shape around a fixed point.

Front

What is the x-axis in a coordinate plane?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero.

Front

What is the y-axis in a coordinate plane?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero.

Front

How do you identify the coordinates of a point in a coordinate plane?

Back

The coordinates of a point are given as an ordered pair (x, y), where x is the horizontal position and y is the vertical position.

Front

What is the significance of the y-coordinate in an ordered pair?

Back

The y-coordinate indicates the vertical position of a point in the coordinate plane.