Lesson 06: Describing Transformations | Unit 1: Rigid Transformations and Congruence

Draw

Draw Polygon B, the image of Polygon A, using the $$y$$ -axis as the line of reflection.

Draw

Draw Polygon C, the image of Polygon B, using the $$x$$ -axis as the line of reflection.

Draw

Draw Polygon D, the image of Polygon C, using the $$x$$ -axis as the line of reflection.

Multiple Choice

The point ((-4,1)) is rotated ( $$180^{\circ}$$ ) counterclockwise using center ((-3,0)). What are the coordinates of the image?

• ((-5,2))

• ((-4,-1))

• ((-2,-1))

• (4,-1)

Multiple Choice

Which sequence of transformations maps Triangle A with coordinates (-2, -4), (-1, 0), (-3, 2) to Triangle B with coordinates (4, -2), (3, 2), (5, 4)?

• Translate by (2, 4) and then rotate 90 degrees clockwise.
• Reflect over the x-axis and then translate by (5, 1).
• Translate by (6, 2) and then reflect over y = x.
• Rotate 180 degrees and then translate by (3, 3).

Multiple Choice

The point $$(-4,1)$$ is rotated $$180^\circ$$ counterclockwise using center $$(0,0)$$ . What are the coordinates of the image?

• $$(-1,-4)$$

• $$(-1,4)$$

• $$(4,1)$$

• $$(4,-1)$$

Multiple Choice

Point $$A$$ has coordinates $$(3,4)$$ . After a translation 4 units left, a reflection across the $$x$$ -axis, and a translation 2 units down, what are the coordinates of the image?

• (1,2)
• (0,-4)
• (-1,-6)
• (3,0)

Multiple Choice

The point $$(-2,-3)$$ is rotated $$90^\circ$$ counterclockwise using center $$(0,0)$$ . What are the coordinates of the image?

• (-3,-2)

• (-3,2)

• (3,-2)

• (3,2)

Multiple Choice

Point $$B$$ has coordinates $$(-2,-5)$$ . After a translation 4 units down, a reflection across the $$y$$ -axis, and a translation 6 units up, what are the coordinates of the image?

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

Multiple Choice

Which sequence of transformations maps Quadrilateral Q to Quadrilateral P?

• Rotate 90 degrees counterclockwise, then translate right 6 units and up 2 units.
• Rotate 180 degrees clockwise, then translate left 4 units and down 3 units.
• Reflect over the x-axis, then translate left 5 units and down 1 unit.
• Rotate 90 degrees clockwise, then translate right 3 units and up 5 units.