Identifying Transformations (Homework)

Match each representation of a transformation to its correct algebraic rule from the bank below.

Answer explanation

The preimage is located in quadrant IV. The rectangle translated 10 units to the left and 9 units down.

Match each representation of a transformation to its correct verbal description from the bank below.

• The rectangle translated 10 units to the right and 9 units down.

• The rectangle rotated 180 degrees

• The rectangle reflected over the x-axis then over the y-axis.

• The rectangle translated 10 units to the left and 9 units up.

Answer explanation

The preimage is located in quadrant IV. The rectangle translated 10 units to the left and 9 units down.

Answer explanation

When a figures is rotated 270 degrees, you will notice that the coordinates flip and the new x is opposite.

Match the transformation to the its correct verbal description.

• Triangle VXW is translated 8 units to the right

• Triangle VXW is translated 8 units to the left

• Triangle VXW is reflected over the y-axis.

• Triangle VXW reflected over the x-axis.

Answer explanation

Orientation of the figure and vertices changed, so the triangle was reflected, specifically over the y-axis.

Match the transformation to the its correct algebraic rule.

Answer explanation

Orientation of the figure and vertices changed, so the triangle was reflected, specifically over the y-axis.

Describe the transformation.

• Rectangle KLMN rotated 90 degrees clockwise

• Rectangle KLMN rotated 90 degrees counterclockwise

• Rectangle KLMN rotated 270 degrees clockwise

Answer explanation

The preimage is located in quadrant I. The orientation's figure changed, but the vertices stayed the same. The figure rotated 90 degrees clockwise.

What is the algebraic rule for the transformation?

Answer explanation

The preimage is located in quadrant I. The orientation's figure changed, but the vertices stayed the same. The figure rotated 90 degrees clockwise.

Describe the transformation.

• Translated 3 units up

• Rotated 90 degrees clockwise

• Reflected over the y-axis

• Reflected over the x-axis

Answer explanation

Analyze the coordinates, notice that the x-values stayed the same, and the y-values are now opposite. Based on this observation, the figure was reflected over the x axis.

What is the algebraic rule of the transformation.

Answer explanation

Analyze the coordinates, notice that the x-values stayed the same, and the y-values are now opposite. Based on this observation, the figure was reflected over the x axis.

Describe the transformation.

• The pentagon was reflected over the x-axis.

• The pentagon was rotated 270 degrees clockwise.

• The pentagon was translated 10 units up.

• The pentagon was translated 10 units down.

Answer explanation

The orientation of the figure and vertices is preserved. The figure was translated down from quadrant II to III.