Dilations Algebra Rule

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)

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)

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.
Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (2x, 2y) --> (x, y)

• (x, y) --> (3x, 2y)

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.

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

• an enlargement

• a translation

• a rotation

• a reduction

Triangle ABC is dilated by a scale factor of one-half to form Triangle A’B’C’ with the origin as a center of dilation. Which rule represents this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (1/2x, 1/2y)

• (2x, 2y) --> (x, y)

• (x, y) --> (1/3x, 1/3y)

Is this an enlargement or a reduction?

• Enlargement

• Reduction

Is this an enlargement or a reduction?

• Enlargement

• Reduction

Which of the following algebraic rules represents an enlargement?

• (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)

Triangle E’F’G’ is a dilation of triangle EFG. Which rule best represents the dilation shown?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (x + 2, y - 2)

• (x, y) --> (2x, 0.5y)