Dilations Coordinate Plane

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

Tags

CCSS.8.G.A.3

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• 
• 
• 
• 

Tags

CCSS.HSG.CO.A.2

The center of dilation is important because

• it's the location from which the dilation occurs.

• All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

• it's a fixed point on the plane about which all points are expanded or contracted.

• All of the above

Tags

CCSS.8.G.A.3

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

Tags

CCSS.8.G.A.3

Does the image show a Dilation?

• Yes

• No

Tags

CCSS.8.G.A.3

• (x, y) --> (x+4, y)

• (x, y) --> (2x, 2y)

• (x, y) --> (0.3x, 0.3y)

Tags

CCSS.HSG.CO.A.2

Does the image show a Dilation?

• Yes

• No

Tags

CCSS.HSG.CO.A.2

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used.

a

b

Tags

TEKS 8.3C

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used. A triangle is dilated by a scale factor of 1/2. ​ (a)   ​ A square is dilated by a scale factor of 2. ​ ​ ​ ​ (b)  

• (x, y) → (x + 2, y + 2)

• (x, y) → (−x, −y)

Tags

CCSS.HSG.CO.A.2

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

Tags

TEKS 8.3C