Transformational Geometry

Triangle ABC is dilated by a scale factor of 3. Which is an algebraic representation of the dilation? (8.3C)

• (3x, 3y) → (x, y)
• (x, y) → (x+3, y-3)
• (x, y) → (0.33x, 0.33y)
• (x, y) → (3x, 3y)

Tags

CCSS.8.G.A.3

Misha started with ∆MNO and then performed four transformations. After which transformation is the figure a mirror image? (8.10 B)

• Transformation 4
• Transformation 3
• Transformation 2
• Transformation 1

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

This coordinate grid shows triangle ABC and its image triangle A'B'C'. Which best describes the transformation used to create triangle A'B'C?

• Translated 5 units right and 9 units down
• Reflection over the x-axis
• Rotated 180 degrees clockwise
• Rotated 270 degrees counterclockwise

Tags

CCSS.HSG.CO.A.2

Which algebraic representation can be used to explain the scale factor used to create W'?

• (x, y) → (1.5x, 1.5y)
• (x, y) → (3x, 3y)
• (x, y) → (2x, 3y)
• (x, y) → (.5x, .5y)

Tags

CCSS.HSG.CO.A.2

Write a description of the rule (x, y) → (x+5, y-6). (8.10C)

• Translation 5 units right and 6 units up
• Translation 5 units left and 6 units down
• Translation 5 units left and 6 units up
• Translation 5 units right and 6 units down

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle TRY with coordinates T(6, 12), R(-8, 4), and Y(4, -8) is to be reflected across the x-axis.  Which algebraic representation is a reflection across the x-axis?

• (x, y) --> (-x, y)
• (x, y) --> (x, -y)
• (x, y) --> (-x, -y)
• (x, y) --> (-y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The trapezoid has been rotated 180° around the origin.  Which shows the algebraic representation for the rotation?  (8.10C)

• (x, y) → (-x, y)
• (x, y) → (x, -y)
• (x, y) → (-x, -y)
• (x, y) → (x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following statements is true?  (8.10A)

• A reflection over the x-axis will preserve the orientation of the pre-image figure but not the size.
• A 180° rotation clockwise is the same as a 180° counterclockwise rotation.
• A dilation will preserve the size but not the orientation of the figure. 
• A translation will preserve a figure’s orientation but not the size.

Tags

CCSS.HSG.CO.A.2

What is scale factor?

• A number describing a translation
• A number you use to multiply for dilations
• A number on a weight scale
• A number of scales on a fish

Tags

CCSS.8.G.A.3

A dilation produces a congruent figure

• True
• False
• D

Tags

CCSS.8.G.A.3