Dilations: Writing the Rule

If the scale factor is less than 1, the dilation is...

• an enlargement
• a translation
• a rotation
• a reduction

Tags

CCSS.8.G.A.3

If the scale factor is greater than 1, the dilation is...

• an enlargement
• a rotation
• a translation
• a reduction

Tags

CCSS.8.G.A.3

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 1/2.
• It's an enlargement; the scale factor is 2.
• It's a reduction; the scale factor is 1/2.
• It's a reduction; the scale factor is 2.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Which of the following algebraic rules represents a dilation? Select all that apply.

• (x, y) --> (3x, 3y)

• (x, y) --> (3x, 2y)

• (x, y) --> (x - 3, y + 5)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (3x, 0.5y)

Tags

CCSS.HSG.CO.A.2

Which of the following algebraic rules represents a reduction? Select all that apply.

• (x, y) --> (3x, 3y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (0.75x, 0.75y)

• (x, y) --> (0.999x, 0.999y)

• (x, y) --> (5x, 5y)

Tags

CCSS.8.G.A.3

Which of the following algebraic rules represents an enlargement? Select all that apply.

• (x, y) --> (3x, 3y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (0.75x, 0.75y)

• (x, y) --> (0.999x, 0.999y)

• (x, y) --> (5x, 5y)

Tags

CCSS.8.G.A.3

Figure S is dilated to create Figure T.  Which could be the scale factor of the dilation?

• (x, y)→(2x, 2y)
• (x, y)→(1/2 x, 1/2 y)
• (x, y)→(3x, 3y)
• (x, y)→(4x, 6y)

Tags

CCSS.HSG.CO.A.2

Write the algebraic rule for the dilation. Don't put any spaces in your answer.

(a)  

Tags

CCSS.HSG.CO.A.2

Quadrilateral WXYZ was dilated with the origin as the center to create quadrilateral W’X’Y’Z’.

Which rule best represents the dilation that was applied to quadrilateral WXYZ to create quadrilateral W’X’Y’Z’?

• (x, y) --> (0.4x, 0.4y)

• (x, y) --> (x + 3, y + 2)

• (x, y) --> (2.5x, 2.5y)

• (x, y) --> (x - 3, y - 2)

Tags

CCSS.HSG.CO.A.2

Triangle A’B’C’ is the dilation of triangle ABC.

Which algebraic representation shows this dilation?

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (2x, 2y)

• (x, y) --> (x + 1/2, y)

• (x, y) --> (1/2x, y)

Tags

CCSS.HSG.CO.A.2