Coordinate Plane Reflection and Distance

The grid represents the layout of a neighborhood. Each unit on the grid represents 1 square mile.

The Post Office is located at (5, 3)

The Bank is located at (5, 1)

The Town Hall is located at (-4, 3)

What is the distance, in miles, from the Post Office to the Town Hall?

Mathematical Equivalence

ON

Tags

CCSS.6.NS.C.8

This grid represents the layout of Valerie's math class. Each unit on the grid represents 1 square foot.

Valerie's desk is located at (-3, -4)

The teacher's desk is located at (5, -4)

The storage closet is located at (-3, -7)

What is the distance, in feet, from Valerie's desk to the storage closet?

Mathematical Equivalence

ON

Tags

CCSS.6.NS.C.8

Kia walks to Jamie's house each morning. Kia and Jamie then walk together from Jamie's house to school. Each unit on the grid is 1 block. How many blocks does Kia walk from her house to school each morning?

• 4 blocks

• 7 blocks

• 9 blocks

• 11 blocks

Tags

CCSS.6.NS.C.8

Louisa, Kristen, and Javier live in the same neighborhood. Louisa's house is located at (8, 2), Kristen's house is located at (-3, 2), and Javier's house is located at (8, -8). Each coordinate plane below shows an attempt to plot the location of the three houses. Which coordinate plane correctly plots the location of the houses? How far apart are Louisa and Javier's houses? Use the drop-down menus to select the correct responses. The location of the houses are correctly plotted on ​ (a)   . If each unit of the coordinate plane represents 1 block, Louisa's house is ​ (b)   blocks from Javier's house.

• Graph A

• 10

• Graph B

• 11

• 8

• 6

Tags

CCSS.6.NS.C.8

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• (8,-2)

• (6,8)

• (0,0)

• (7,4)

• (-3,7)

• (5,5)

• (2,9)

• (4,4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• reflected

• x-axis

• 3

• right

Tags

CCSS.8.G.A.3

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The point (11, 28) will be reflected. Match the point to the correct transformation.

• (-11, 28)

• Reflection over the Y-axis

• (28, 11)

• Reflection over the X-axis

• (11, -28)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Match the following algebraic representation to the verbal description.

• Reflect over the x-axis

• to the right 4 units and down 2 units

• (x + 4, y - 2)

• Reflect over y-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5