New Coordinates

Which transformations could be used to transform from the original image to the final image?

• Translate 7 units up.

• Translate 8 units right.

• Rotate 90 counterclockwise around the origin

• Rotate 180 around the origin.

• Translate 5 units down.

Tags

CCSS.8.G.A.3

Point (2,5) is reflected across the y-axis. What is the new coordinate?

• (-2,5)

• (5,2)

• (2,-5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point (2,5) is reflected across the y=x. What is the new coordinate?

• (-2,5)

• (5,2)

• (2,-5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point (10,3) is reflected across the x-axis. What is the new coordinate?

• (3,10)

• (-10,3)

• (10,-3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Given PQRS with P (3, 1), Q (8, 1), R (10, 4), and S (5, 4). If the diagonals intersect at point T, what are the coordinates of point T?

T = _​ (a)  

• (6.5, 2.5)

• (5, -3)

• (7, 3)

• (5.5, 1)

• (7.5, 4)

Tags

CCSS.HSG.GPE.B.6

The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is

• (5, 0)

• (0, 5)

• (-5, 0)

• (0, -5)

Tags

CCSS.5.G.A.2

Given P (4, 5) and Q (10, 14). Point R divides line segment PQ such that the ratio of PR to RQ is 1:2. Match each value or set of coordinates approximately.

• 6

• 8

• The y-coordinate of R

• 6

• 1/3

• The ratio of Part to Whole

• 9

• The x-coordinate of R

Tags

CCSS.HSG.GPE.B.6

Point (10,3) is reflected across the y-axis. What is the new coordinate?

• (3,10)

• (-10,3)

• (10,-3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point (10,3) is reflected across the y=x. What is the new coordinate?

• (3,10)

• (-10,3)

• (10,-3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Henry starts with the two parallel line segments shown. She correctly reflects the segments across the x-axis and then translates them following the rule (x,y) --> (x-2,y+5). Which statements about the reflection and translation of the line segments are true? Select all that apply

• The final image will result in parallel segments slanted in the opposite direction and the same distance apart as the preimage segments.

• The coordinates of point C’ in the final image are (1,4).

• When reflected over the x-axis, the coordinates of point A become (2,–4).

• The final image will result in perpendicular segments that intersect at point (0,1).

• The final image will result in parallel segments slanted in the same direction and closer together than the preimage segments.

Tags

CCSS.HSG.CO.A.2