Math 8 End of Year Review: Transformations, Angles & Polygons

Translations, reflections, and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The original figure prior to a transformation is called the ​ (a)   .

After a figure has been transformed, we call the new figure the (b)   and we label its points using ​ (c)   notation. (ex: A → A')

• pre-image
• image
• prime
• point
• transformation

Match the terms with their definitions.

• A transformation that enlarges or reduces a figure.

• Dilation

• A transformation that slides a figure.

• Rotation

• A transformation that flips a figure across a line.

• Translation

• A transformation that turns a figure around a point.

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Figures that are the same size and shape are ____.

• Congruent

• Original

• Parallel

• Complementary

Tags

CCSS.8.G.A.2

Which of the following transformations produce a figure that is congruent to the original figure? (Select all that apply.)

• Rotations

• Reflections

• Translations

• Dilations

Answer explanation

A dilation resizes a figure, so while the image is similar to the pre-image, it is not congruent.

Match each transformation with its rule (given the origin is the center of rotation).:

• 90° Rotation Counterclockwise

• 90° Rotation Clockwise

• Reflection in the

  y-axis

• Reflection in the

  x-axis

• Translation

Identify the transformation from the blue pre-image to the red image.

• Reflection across y-axis

  R_x

• 90° Rotation counterclockwise

  (-y, x)

• Translation 5 units left, 1 unit up

  T_{-5, 1}

• Translation 5 units right, 1 unit down

  T_{5, -1}

What is the rule for the transformation shown in the image?

Notice which figure has prime notation. That's the image.

Identify the transformation shown in the image.

• Reflection in the y-axis

• Reflection in the x-axis

• 180° Rotation

• Translation 2 units down

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The pink triangle is the image of the blue triangle.

Write a rule for the transformation shown.

Tags

CCSS.HSG.CO.A.2