Reflection (Homework & Handout)

A reflection ​ (a)   a figure over a line of ​ (b)   in order to create a ​ (c)   image.

• flips
• reflection
• rotation
• turn
• mirror
• slides
• translate
• similar

Each reflected point of the figure should be the same distance from the line of ​ (a)   on the opposite side.

• reflection
• rotation
• translation
• dilation

Match the following verbal description with the algebraic description.

Reflect over the x - axis

Answer explanation

Match the following verbal description with the algebraic description.

Reflect over the y - axis

Answer explanation

Reflect JKL over the x-axis. Graph the image.

hint:

J (-7, -7)

K (-5, -2)

L (-2, -3)

Answer explanation

To reflect the graphing over the x-axis. The image points need to be the same distance from the axis.

Give a verbal description of the transformation.

graph the pre-image and image if needed.

• reflected over the x axis.

• reflected over the y-axis

• translated 18 units to the right

• translated 18 units to the left

Answer explanation

Analyze the coordinates, notice that the x values changed from positive to negative and the y values stayed the same.

So, the figure was reflected over the y-axis

Which best represents the transformation algebraically?

• (-x, y)

• (x, -y)

• (-x, -y)

• (x + 18, y)

Answer explanation

Find the location of T' (T prime).

• (4, 8)

• (4, -8)

• (-4,8)

Answer explanation

True or False.

The pre-image is in quadrant III

• True

• False

Answer explanation

The pre-image is in quadrant II. The image is in quadrant III, notated with apostrophes.

True or False.

The orientation of the vertices changed.

• True

• False

Answer explanation

Orientation of the vertices: order

in the pre-image in quadrant II its ABCD

the image in quadrant III, its C'D'B'A'