Composition of Rigid Transformations

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

• reflection over y = 2, translate right 5

• rotate 180 degrees

• rotate 270 degrees

• translate right 5 and reflect over the y-axis

• do the cha cha slide

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

Point A is rotated 180 degrees and then flipped over the y-axis. What is A" if A is (2,7)

• (2,7)

• (-2, -7)

• (-2, 7)

• (2, -7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Find Q''' if Q(-3, 1) is reflected over the x-axis, then rotated 90 degrees, and then translated right 3 and up 4.

• (-3, 1)

• (4, 1)

• (4, -1)

• (-3,-1)

Tags

CCSS.8.G.A.3

Triangle ABC is rotated 90 degrees and then translated up 4 and left 5. What is point A if point A''' is (1,2)?

• (2, -4)

• (2,6)

• (4, -2)

• (-2 -6)

Tags

CCSS.8.G.A.3

A triangle is translated (x + 2, y - 10) and then rotated 90 degrees. If the triangle starts at A(-4, -2), B(3,4), C(-5, 6), where does the triangle end it's journey? Structure your answer as A"(x,y), B"(x,y), C"(x,y)

Tags

CCSS.8.G.A.3

Describe the difference between a rotation and a reflection, include details that allow you to identify a transformation in a problem.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A transformation in which a second transformation is performed on an image of a first transformation is called

• Composition of transformations

• Congruence

• Consecutive steps

• Similarity

Tags

CCSS.8.G.A.3

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? \(\left(x,y\right)\rightarrow\left(x,\ y+3\right)\) then rotated \(90\degree\) clockwise about the origin.

Tags

CCSS.8.G.A.3

Determine how to translate triangle ABC to triangle A'B'C'. 

• right 2, down 5

• right 2, down 9

• left 2, up 9

• left 2, down 9

Tags

CCSS.HSG.CO.A.2