Reflections and Translations

The original figure prior to a transformation.

• Pre-image
• Image

Tags

CCSS.HSG.CO.A.2

What is true about transformations?

• Translations and reflections both produce congruent figures.

• Translations are congruent, but not reflections.

• Reflections are congruent, but not translations.

• Neither produce congruent figures.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the algebraic notation of a figure is Translated 2 units right and 5 units up?

• (x, y) --> (x - 2, y - 5)
• (x, y) --> (x + 2, y + 5)
• (x, y) --> (x + 5, y - 2)
• (x, y) --> (5x, 2y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• (x, y) --> (x + 5, y + 8)

• (x, y) --> (x + 5, y - 8)

• (x, y) --> (x - 8, y + 5)

• (x, y) --> (x - 8, y - 5)

Tags

CCSS.HSG.CO.A.2

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Tags

CCSS.HSG.CO.A.2

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)
• (-10, 2)
• (-4, -5)
• (-1, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is true about reflections?

• The orientation of both the figure and vertices changes.

• The orientation of the figure stays the same, but the orientation of the vertices changes.

• The orientation of the vertices stays the same, but the orientation of the figure changes.

• The orientation of both the figure and vertices stays the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?

• (-2, 6)
• (2, 6)
• (-6, -2)
• (6, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect Point C over the y-axis:

• (-3, 2)
• (3,2)
• (-2,3)
• (3,0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect the following point over the line y=x.

A(-4, 6)

• A'(6,-4)

• A'(4,-6)

• A'(-6,4)

• A'(-4,-6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5