Transformations STAAR Review

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-y,x)

• (x,y)→(-x,-y)

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

• slide up 2, left 3

• slide right 2, up 3

• slide right 2, down 3

• slide left 3, right 2

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

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.

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.

Trapezoid KLMN is reflected over the x-axis to form trapezoid WXYZ. Which statement is TRUE?

• The area of trapezoid KLMN is greater than the area of trapezoid WXYZ.

• The angle measures of trapezoid KLMN is less than the corresponding angle measures of trapezoid WXYZ.

• The sum of the angle measures of trapezoid KLMN is twice the sum of the angle measures of trapezoid WXYZ.

• The side lengths of trapezoid KLMN are congruent to the corresponding side lengths of trapezoid WXYZ.

Rectangle MNPQ is translated 4 units left and 3 units up. Which of the following is the algebraic rule that describes this transformation?

• (x, y) → (x + 3, y - 4)

• (x, y) → (x - 4, y + 3)

• (x, y) → (x - 3, y + 4)

• (x, y) → (x + 4, y - 3)

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?