SSJHS Transformations Study Guide

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of reflection that maps the pre-image to the image for the x-axis?

Back

The x-axis is the line of reflection that maps points (x, y) to (x, -y).

Front

True or False: When you translate a shape, the preimage and the image are congruent.

Back

True. Translations preserve the size and shape of the figure.

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

The coordinates become (x, -y).

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise about the origin?

Back

The new coordinates will be (-y, x).

Front

If a triangle is rotated 90 degrees counterclockwise about the origin, what are the new coordinates of point R(3, -3)?

Back

The new coordinates will be (3, 3).

Front

What is the effect of translating a shape 3 units to the left and 2 units up on the coordinates (x, y)?

Back

The new coordinates will be (x-3, y+2).

Front

If Quadrilateral ABCD is reflected about the x-axis, what happens to the y-coordinates of its vertices?

Back

The y-coordinates of the vertices are multiplied by -1.

Front

What are the coordinates of point A(-3, 2) after reflection over the x-axis?

Back

The new coordinates will be (-3, -2).

Front

What is the result of translating point L(1, 4) three units to the left and two units up?

Back

The new coordinates will be (-2, 6).