Geometric transformations

The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?

• (x, y) --> (x - 7, y + 4)
• (x, y) --> (x + 7, y - 4)
• (x, y) --> (x + 4, y - 7)
• (x, y) --> (7x, 4y)

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Dilate Point B by a scale factor of 1/2

• (1.5,-4)
• (-1.5,1)
• (-1,-1.5)
• (-2,-2)

Tags

CCSS.8.G.A.3

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Tags

CCSS.8.G.A.3

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin
• Rotate -90 degrees around the origin and then translate down.
• Reflect across the x-axis and then reflect across the y-axis.
• Translate up and then rotate 90 degrees about the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The image A'B'C' is a rotation of ABC.

• True
• False

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Pentagor VWXYZ is shown on a coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?

• (x,y) → (x, -y)

• (x,y) → (x, y+8)

• (x, y) → (-y, x)

• (x,y) → (-x, y)

Which of the following is not a rigid motion transformation? You may choose as many as needed :)

• Reduction

• Reflection

• Rotation

• Translation

• Enlargement

What is the rule for a 180 degree rotation?

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

What is the rule for a 270 degree counterclockwise rotation?

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