Transformations and Their Rules

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

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

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

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

What is this transformation?
(x, y) ----> (x, -y) 

Hint: IF YOU REFLECT OVER THE X, THE X STAYS THE SAME

• Reflect over the x axis

• Reflect over the y-axis

• Slide down 1

• slide left 1

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Match the following Transformations with their correct algebraic rules

• 270 degrees clockwise rotation( 3 turns)

• (x, y)-->(x-3, y-7)

• slide 5 left, down 7

• (x, y)-->(-x, -y)

• 180degrees counterclockwise rotation(2t)

• (x, y)-->(-y , x)

• reflection over the x-axis

• (x, y)-->(x, -y)

• reflection over the y-axis

• (x, y)-->(-x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rectangle MNQP is translated 4 units left and 3 units up. Write a rule that describes this transformation. Move the correct answer to each box. Not all answers will be used. (katex latex="\left(x,y\right)\rightarrow") ( ​ (a)   , ​ (b)   )

Tags

CCSS.HSG.CO.A.2