Investigate Geometric Transformations

If point H(–6, 2) is translated 3 units right and 4 units up, what are the coordinates of the translated image?

• (-2, 5)

• (-3, 6)

• (-9, -2)

• (-9, 6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point N(6, –5) is reflected across the

x-axis. What are the coordinates of the image?

• (-6, -5)

• (-5, 6)

• (5, -6)

• (6, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The vertices of triangle GHI are G(1, 2), H(3, 4), and I(4, 2). The triangle will be reflected across the x-axis. What will be the coordinates of the image point H′?

• (-3, 4)

• (3, -4)

• (-3, -4)

• (3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Determine how to translate triangle A'B'C' from triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)
• (x-2, y+9)

Tags

CCSS.HSG.CO.A.2

Identify the transformation.

• Reflection across y axis
• Reflection across x-axis
• 180 Rotation
• Translation 2 units down

Tags

CCSS.8.G.A.3

Describe the transformation:

(x, y) -> (x-2, y+7)

• Translation 2 units to the left & 7 units up

• Translation 2 units to the left & 7 units down

• Translation 2 units to the right & 7 units up

• Translation 2 units to the right & 7 units down

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

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A mirror image of a figure

• Translation

• Reflection

• Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5