Geometry EOC Review - Transformations

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

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 reflection?

Back

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

Front

Explain rotation in geometry.

Back

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

Front

What is dilation?

Back

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

Front

How do you reflect a point (x, y) over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).

Front

What happens to the coordinates of a point when it is rotated 90º clockwise around the origin?

Back

When a point (x, y) is rotated 90º clockwise around the origin, the new coordinates will be (y, -x).

Front

If a triangle has vertices (2,0), (3,-1), and (-2,-5), what are the new coordinates after a dilation by a scale factor of 3?

Back

The new coordinates will be (6,0), (9,-3), and (-6,-15).

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 results in a shape that is similar to the original but larger in size.