Dilations Coordinate Plane Review

Dilations are ________ but not congruent.

• Similar

• Flipped

• Rotated

• Congruent

Dilations will always keep the same ________

• Orientation

• Size

• Area

• Perimeter

Which transformation is non-rigid?

• rotation

• dilation

• reflection

• translation

Answer explanation

Remember, dilations are non-rigid transformations. The objects are the same shape, but they are a different size.

Square MATH is dilated with the origin as the center of dilation to create M'A'T'H'. Which of the following TWO statements are TRUE?

• Square M'A'T'H' is similar to square MATH.

• (x, y) → (⅓x, ⅓y)

• (x, y) → (3x, 3y)

• Each side length of square M'A'T'H' is 1/3 the corresponding side length of MATH.

• Square M'A'T'H' is congruent to square MATH.

Quadrilateral LMPQ is shown on the coordinate grid. Quadrilateral LMPQ will be dilated to create quadrilateral L'M'P'Q'. Quadrilateral LMPQ will be dilated with the origin as the center of dilation using the rule (x, y) → (3.75x, 3.75y). Which statement is TRUE?

• Each angle measure of quadrilateral L'M'P'Q' will be 3.75 times the corresponding angle measure of quadrilateral LMPQ.

• Each angle measure of quadrilateral L'M'P'Q' will be 3.75 more than the corresponding angle measure of quadrilateral LMPQ.

• Each side length of quadrilateral L'M'P'Q' will be 3.75 times the corresponding side length of quadrilateral LMPQ.

• Each side length of quadrilateral L'M'P'Q' will be 3.75 more than the corresponding side length of quadrilateral LMPQ.

A rectangle is graphed on a coordinate plane. The table shows the original vertices and the new vertices after a scale factor with center of dilations at (0, 0) is applied.

What rule is applied to the original rectangle to create the new rectangle?

Triangle TRW is shown on the coordinate grid. Triangle TRW will be dilated by a scale factor of n with the origin at the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R'?

Polygon A has an area of 27r square meters. Polygon A is dilated by a scale factor of 3 to create Polygon B.

What is the area in square meters of Polygon B?

• 243r square meters

• 9r square meters

• 729r square meters

• 81r square meters

Which proportion must be true?