Transformations

A parallelogram with vertices at (0,3), (2,0), (4,2) and (2,5) is reflected over the y-axis. Which vertex of the parallelogram will have the same x-coordinate before and after the reflection?

• (0,3)

• (2,5)

• (2,0)

• (4,2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A triangle will be dilated on a coordinate grid to create a larger triangle. A triangle is dilated using the origin as the center of dilation. Which rule could represent this dilation?

• $\left(x,y\right)\rightarrow\left(\frac{2}{9}x,\ \frac{2}{9}y\right)$ )

• $\left(x,y\right)\rightarrow\left(x+8,y+3\right)$

• $\left(x,y\right)\rightarrow\left(\frac{8}{3}x,\frac{8}{3}y\right)$

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

Tags

CCSS.8.G.A.3

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. The polygon is transformed using the rule $\left(x,y\right)\rightarrow\left(ax,ay\right)$ . Which statement must be true?  

• If a is greater than 1, the image of the polygon is larger to the polygon.

• If a is greater than 1, the image of the polygon is congruent to the polygon.

• If a is greater than 1, the image of the polygon is smaller than the polygon.

• If a is less than 1, the image of the polygon is congruent to the polygon.

Tags

CCSS.8.G.A.3

A rectangle with a perimeter of 26 units is graphed on a coordinate grid. The rectangle is dilated by a scale factor of .75 with the origin as the center of dilation. If (x,y) represents the location of any point on the original rectangle, which ordered pair represents the coordinates of the corresponding point on the resulting square?

• $\left(x-26,\ y-26\right)$

• $\left(x+.75,y+.75\right)$

• $\left(26x,26y\right)$

• $\left(\frac{3}{4}x,\frac{3}{4}y\right)$

Tags

CCSS.8.G.A.3

Pentagon ABCDE is transformed on the coordinate plane to create pentagon A'B'C'D'E'. Which rule best describes this transformation?

• $\left(x,y\right)\rightarrow\left(10x,10y\right)$

• $\left(x,y\right)\rightarrow\left(x-10,y-11\right)$

• $\left(x,y\right)\rightarrow\left(-10x,-10y\right)$

• $\left(x,y\right)\rightarrow\left(x+10,y+11\right)$

Tags

CCSS.HSG.CO.A.2

Triangle QRS was translated 5 units up and 2 units left. Which rule best describes this translation?

• $\left(x,y\right)\rightarrow\left(-2x,5y\right)$

• $\left(x,y\right)\rightarrow\left(x+5,\ y-2\right)$

• $\left(x,y\right)\rightarrow\left(x-2,y+5\right)$

• $\left(x,y\right)\rightarrow\left(5x,2y\right)$

Tags

CCSS.HSG.CO.A.2

A triangle is reflected over the y-axis. Which rule best describes this transformation?

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

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

• $\left(x,y\right)\rightarrow\left(x+5,\ y+2\right)$

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Circle S was dilated with the origin as the center of dilation to create circle S'. Which rule best represents the dilation applied to circle S to create circle S'?

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

• $\left(x,y\right)\rightarrow\left(4x,4y\right)$

• $\left(x,y\right)\rightarrow\left(x+4,y+4\right)$

• $\left(x,y\right)\rightarrow\left(-4x,-4y\right)$

Tags

CCSS.HSG.CO.A.2

Rectangle J(1,1) K(1,4) L(5,4) M(5,1) is reflected across the y-axis to create rectangle J'K'L'M'. What is the ordered pair for L'?

• (-4,5)

• (-5,4)

• (-5,-4)

• (5,-4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle X(3,4) Y(8,5) Z(5,2) is translated using the rule (x+7,y-5) to create triangle X'Y'Z'. What is the ordered pair for Z'?

• (12,-3)

• (10,-1)

• (0,9)

• (15,0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5