Transformations

Consider the two figures. Which rule maps Figure 1 onto Figure 2?

• (x, y) → (x - 7, y + 5)

• (x, y) → (x - 5, y + 7)

• (x, y) → (x + 5, y - 7)

• (x, y) → (x + 7, y - 5)

Consider the figures. Which transformations map figure M onto figure N?

• a rotation 90° clockwise about the origin and a translation down 1 unit

• a rotation 90° clockwise about the origin and a translation up 1 unit

• a rotation 90° counterclockwise about the origin and a translation down 1 unit

• a rotation 90° counterclockwise about the origin and a translation up 1 unit

Consider the figures. Which rule could map figure P onto figure Q?

• (x, y) → (-x, y)

• (x, y) → (x, -y)

• (x, y) → (-y, x)

• (x, y) → (y, x)

A pre-image in the shape of a triangle with vertices at R(-4, 1), S(-2, 4), and T(1, -1) undergoes a rigid transformation. The resulting image has vertices at, R'(-2, -3), S'(0, 0), and T'(3, -5). Which describes the rigid transformation?

• a reflection across the x-axis

• a reflection across the y-axis

• a translation right 2 units and down 4 units

• a translation right 4 units and down 2 units

Use the information given to answer the question. Consider the figures. Point S is located at (-9, -7). What are the coordinates of point S after a reflection across the x-axis and a translation of 5 units to the right?

• (-9, 2)

• (-4, 7)

• (4, 7)

• (9, -2)

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)

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

• (0, 0)
• (-6, -5)
• (-1, 3)
• (-6, 2)

What is the angle of rotation about the origin?

• 90° CW

• 270° CW

• 90° CCW

• 180°

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2