Reflection, Transition, Rotation Introduction

Which reflection does the image show?

• Reflection across the x-axis according to the rule (x, y) → (x, −y)

• Reflection across the y-axis according to the rule (x, y) → (x, −y)

• Reflection across the x-axis according to the rule (x, y) → (−x, y)

• Reflection across the y-axis according to the rule (x, y) → (−x, y)

Triangle XYZ is translated so that X′ is at (4, –2). Which rule defines this translation?

• (x + 2, y – 6)

• (x – 6, y + 2)

• (2x, y – 6)

• (x – 2, y + 6)

A reflection is applied to triangle ABC according to the rule (x, y) → (x, –y). Which of the following will describe the effect of the reflection?

• A′ will stay as the top vertex.

• C′ will now be the top vertex.

• C′ will stay as the bottom vertex.

• B′ will be the bottom vertex.

The triangle is reflected over the line y=x and then rotated 90 clockwise around the origin. Find the final coordinates for K''.

• (1,3)

• (-1,-3)

• (1,-3)

• (-3,-1)

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

What transformation gets you from Triangle ABC to Triangle A"B"C"?

Triangle ABC is rotated 180 degrees clockwise around the origin and reflected over the y-axis. What is the quadrant of the final image?

• I

• II

• III

• IV

Triangle ABC is rotated 270° counterclockwise about the origin. Which is the algebraic rule applied to one of the vertices?

• (−1, −4) → (−4, 1)

• (−4, −1) → (−4 + 5, 1 + 3)

• (−4, 1) → (−1, −(−4))

• (−4, 1) → (1, −(−4))

What type of transformation changed Shape A to Shape B?

• slide

• flip

• turn

• jump

How far has the figure been rotated?

• 45°

• 90°

• 180°

• 360°