Dilations Review

Triangle ABC has been reduced with P as the center of dilation to form triangle A'B'C'. Which conclusion is correct?

Triangle TRW was dilated using the origin as the center of dilation to create triangle XYZ. If a scale factor of 4 is used, what will be the value x-coordinate for point Z?

• 12

• 16

• 4

• 8

Quadrilateral LMPQ is shown on the coordinate grid. It will be dilated with the origin as the center of dilation using the rule (x, y) -> (ax, ay) to create quadrilateral L'M'P'Q'. If vertex P' will be located at (16.5, 5.5), what is the value of the scale factor a?

• 2.5

• 2.75

• .5

Click the picture. Then answer the question.

Which of the following algebraic rules represents a dilation?

• (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)

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Triangle CAT is formed by dilating triangle DOG. Which of the following is true?

• CAT ≅ DOG

• CAT∼DOG

• ∠C = ∠G

Rectangle GHJK has coordinates (4, -2), (4,3), (2, -2) and (2,3). If GHJK is dilated with a scale factor of 7, which of the following coordinates could be from rectangle G'H'J'K'?

• (28, -28)

• (14, -14)

• (4, 21)

• (9, 10)

• 
  The angle measures of ABC are less than than the angle measures of triangle A'B'C'.

• 
  The angle measures of A'B'C' are less than the angle measures of ABC.