Similar Figures Transformations

Quadrilateral PRST is transformed according to the rule (x, y) → (x + 9, y + 4) to create quadrilateral P′R′S′T′. Which statement is true?

• The side lengths of quadrilateral P′R′S′T′ are twice the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P′R′S′T′ are equal to the corresponding angle measures of quadrilateral PRST.

• The side lengths of quadrilateral P′R′S′T′ are 9 units longer than the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P′R′S′T′ are greater than the corresponding angle measures of quadrilateral PRST.

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

In a dilation what mathematical operation is used with the scale factor?

• addition 

• subtraction 

• multiplication 

• division 

Find the measure of x:

• 6

• 24

• 33

• 36

Triangle ABC was transformed to create triangle A′B′C′. Which rule best describes this transformation?

• (x,y)→(x,y−7)

• (x, y) → (x, −y)

• (x,y)→(x−7,y)

• (x, y) → (−x, y)

• x units

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′. Which rule describes this transformation?

• (x,y) → (x−5,y−3)

• (x,y) → (x+5,y+3)

• (x,y) → (x−3,y−5)

• (x,y) → (x+3,y+5)

• (x,y) ----> (3x,3y)

• (x,y) ----> (x+3,y+3)

• (x,y) ----> (x,y)

A dilation ________

• Is a transformation that slides the figure up, down, left, or right.

• Is a transformations that flips the figure over a given axis.

• Is a transformation that turns or spins the figure.

• Is a transformation that enlarges or reduces the figure. It creates similar shapes.

Which proportion could be used to find side 'x'?

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