Dilations and Composition of Transformations

How do you get from the red triangle to the orange triangle?

• reflection over the y-axis and then the x-axis

• rotate 270 degrees and reflect over y = 2

• reflection over the y-axis and translate up 7

• rotate 180 degrees and reflect over y = 2

• translate up 7, translate right 6, and then reflect over the x-axis

Tags

CCSS.8.G.A.3

How do you get from the green triangle to the orange triangle?

• rotate clockwise 90 degrees

• rotate counterclockwise 180 degrees

• translate right 11 and up 9, then translate down 3 and left 2

• translate right 12 and up 4

• reflect over the y-axis then the x-axis

Tags

CCSS.8.G.A.3

Let's build on that door example! That's a real-world example of rigid motions. In the real world, rigid motions don't usually have such simplicity and objects go through multiple transformations (hence why we learn compositions). Give 2 example of real-world compositions of rigid motions.

Tags

CCSS.8.G.A.3

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)

• (x, y) goes to (-3x, -3y)

• (x, y) goes to (x + 3, y + 3)

• (x, y) goes to (3x, 3y)

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

What is the scale factor of the dilation from A to B ?

• 1/2

• 1/3

• 1/4

• 1

Tags

CCSS.8.G.A.3

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

• 3

• 1/3

• 8

• 16

Tags

CCSS.8.G.A.3

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)

• (12, 6)

• (3, -1.5)

• (0, 1.5)

Tags

CCSS.8.G.A.3

The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image?

• green triangle 

• red triangle 

• black triangle

• none of these 

Tags

CCSS.8.G.A.3

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle

Tags

CCSS.8.G.A.3