Transformations Chapter 8 Lessons 1, 2, 3, & 4

Transformations Chapter 8 Lessons 1, 2, 3, & 4

Today, I will identify reflections, rotations, translations, and symmetries. I will describe rules of transformations and graph transformations in the coordinate plane.

Multiple Choice

True or False: A translation is a rigid transformation.

• True

• False

Multiple Choice

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

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

• (-2, 6)

• (2, 6)

• (-6, -2)

• (6, 2)

Multiple Choice

Reflect over x-axis. Which point would be at (3, -6)

• A

• B

• C

• H

Multiple Choice

Reflect the point (2, -4) over the y-axis.

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Multiple Choice

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be? {rotational rule for 90 degrees = (x,y) is (-y,x)}

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

Multiple Choice

What is the image of J (8, -6) after a rotation of 180° counterclockwise?{ rotational rule of 180 degrees= (x,y) is (-x,-y)}

• J' (8, 6)

• J' (-6, 8)

• J' (-8, 6)

• J ' (-8, -6)

Multiple Choice

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.{ rotational rule of 270 degrees=(x,y) is (y,-x)}

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

Multiple Choice

Which rule correctly describes this translation?

• (x - 6, y + 2)

• (x - 2, y + 6)

• (x + 2, y - 6)

• (x + 6, y - 2)

Multiple Choice

Use the diagram to find the coordinates of point A reflected on the x-axis.

• (1, - 3)

• (- 1, 3)

• (3, 1)

• (- 3, - 1)

Multiple Choice

Use the diagram to find the coordinates of point A reflected on the y = - x.

• (1, - 3)

• (- 1, 3)

• (3, 1)

• (- 3, - 1)

Multiple Choice

Use the diagram to find the coordinates of point A reflected on the y = x.

• (1, - 3)

• (- 1, 3)

• (3, 1)

• (- 3, - 1)

Multiple Choice

Use the diagram to find the coordinates of point A reflected on the y-axis.

• (1, - 3)

• (- 1, 3)

• (3, 1)

• (- 3, - 1)

Multiple Choice

What is the image of the point (-2,5) when it is rotated about the origin by 90º?

• (-5,2)

• (5,-2

• (-5,-2)

• (2, -5)

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Multiple Choice

The six cars of a Ferris wheel are located at the vertices of a regular hegagon. Which rotation about point P maps car A to car C?

• 60º

• 90º

• 120º

• 180º

Multiple Choice

Under a rotation about the origin, the point (-3,4) is

mapped to the point (3,-4). What is the measure of the angle of rotation?

• 60º

• 90º

• 180º

• 270º

Multiple Choice

What is the image of P(1, 3) when is translated along the vector <-3, 5>?

• (0, 6)

• (-2, 8)

• (1, 3)

• (0, 4)

Multiple Choice

Which vector translates point Q to poit P?

• < - 2, - 4>

• < - 2, 4>

• < 4, - 2>

• < 2, - 4>

Multiple Choice

After a translation, the image of A(-6, -2) is B(-4, -4). What is the image of the point (3, -1) after this translation?

• ( - 5, 1)

• (5, - 3)

• (5, 1)

• (- 5, - 3)