Transformation Review

Transformational Geometry 2D

Reteach

Question #2

​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 dilation at (0,0) is applied. 

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

Multiple Choice

The point (8, 12) was dilated with the center at the origin to become point (2, 3). What rule was used to the original point to create the new point?

• $$\left(x,\ y\right)\rightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$$

• $$\left(x,\ y\right)\ \rightarrow\ \left(\frac{1}{4}x,\ \frac{1}{4}y\right)$$

• $$\left(x,\ y\right)\rightarrow\left(x-6,\ y-9\right)$$

• $$\left(x,\ y\right)\rightarrow\left(x+6,\ y+9\right)$$

Question #5

​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 the dilation using the rule (x,y) → (3.75x, 3.75y). 

Which statement is true?

Multiple Choice

Rectangle ASDF is shown on the coordinate grid. Rectangle ASDF will be dilated to create quadrilateral A’S’D’F’. Rectangle ASDF will be dilated with the origin as the center of the dilation using the rule (x,y) → (4.5x, 4.5y).

Which statement is true?

• Each angle measure of quadrilateral A’S’D’F’ will be 4.5 times the corresponding angle measure of quadrilateral ASDF?

• Each angle measure of quadrilateral A’S’D’F’ will be 4.5 more than the corresponding angle measure of quadrilateral ASDF?

• Each side length of quadrilateral A’S’D’F’ will be 4.5 times the corresponding side length of quadrilateral ASDF?

• Each side length of quadrilateral A’S’D’F’ will be 4.5 more than the side length of quadrilateral ASDF?

Question #8

​Triangle FGH is shown on the coordinate plane.













Triangle FGH is rotated 90° clockwise to create triangle F’G’H’. Triangle F’G’H’ is ______________to triangle FGH. The orientation of the vertices of triangle F'G'H' ________the same as the orientation of the vertices of triangle FGH.

​IS
IS NOT
similar but not congruent
not similar
congruent

Dropdown

Triangle ABC is shown on the coordinate plane.

Triangle ABC is reflected across the x-axis to create Triangle A'B'C'. Triangle A'B'C' is

Select answer

to triangle ABC. The orientation of the vertices of Triangle A'B'C' ​

Select answer

the same as the orientation of the vertices of triangle ABC.

Question #12

​Circle Q was transformed to create circle Q’.

 

       

Which rule best describes the transformation that was applied to circle Q to create circle Q’ ?

​

Multiple Choice

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Question #6

​An online candy store sells 3 pounds of fudge for $54.99. Which function represents the relationship between x, the number of pounds of fudge ordered, and y, the total cost in dollars?

​

​(24.1%)


(67.47%)


(3.61%)


(4.82%)

Multiple Choice

Ashley worked 40 hours and earned $510. Which function represents the relationship between x, the number of hours work, and y, the total amount earned in dollars?

• $$y=\frac{40}{510}x$$

• $$y=40x+510$$

• $$y=510x+40$$

• $$y=\frac{510}{40}x$$