10-2 Solve Problems on The Coordinate Plane

Multiple Choice

Why is it important to use absolute value when finding distances between points on a coordinate plane?

• Because distance cannot be negative

• Because it makes calculations easier

• Because it changes the direction of the points

• Because it only works for horizontal lines

Graphing

Graph the points on the coordinate plane:
(3, 3)​, ​(0, 0)​, ​(−4, −4)​, ​(−9, 0)​, ​
(−4, 4)​, ​(3, −3)​

Match

Match pairs of points that are the same distance from the x-axis.

• ( 3, 3 )

• ( 1, 2 )

• ( -4, 5 )

• ( 0, -7 )

• ( 2, -1 )

( 3 , -3)

( 1 , -2 )

( -4 , -5 )

( 0 , 7 )

( 2 , 1 )

• ( 3 , -3)

• ( 1 , -2 )

• ( -4 , -5 )

• ( 0 , 7 )

• ( 2 , 1 )

Match

Match pairs of points that are the same distance from the y-axis.

• (5 , -5)

• (3 , 4)

• (-2 , 2)

• (2 , 7)

• (-3 , -4)

(-5 , -5)

(-3 , 4)

(2 , 2)

(-2 , 7)

(3 , -4)

• (-5 , -5)

• (-3 , 4)

• (2 , 2)

• (-2 , 7)

• (3 , -4)

Multiple Choice

How far is it from Li's house to school?

• 10 miles
• 3 miles
• 5 miles

• 7 miles

Multiple Choice

What is the distance from the school to the playground?

• 2 miles
• 10 miles
• 3 miles
• 5 miles

Fill in the Blanks

The remaining distance to the water park is

miles.

Multiple Select

Which of the following are correct steps to find the total distance of the Coulters’ return trip after their day at the water park?

• Add the absolute values of the coordinates for the water park and home, then double the result.

• Find the absolute value of the difference between the coordinates for the water park and home, then multiply by 2.

• Subtract the absolute values of the coordinates for the water park and home, then double the result.

• Add the absolute values of the coordinates for the water park and home, then subtract the smaller from the larger.

Multiple Choice

What is the value of n if the distance from point A (5, n) to point B (5, 0) is 7 units?

• 2

• 5

• 7

• 10

Fill in the Blanks

Point D is in Quadrant IV and is the same distance from point B as point A. What are the coordinates of point D?

Multiple Choice

Which of the following is the correct area of the building mapped by the archaeologist?

• 30 square meters

• 22 square meters

• 36 square meters

• 11 square meters

Math Response

What is the perimeter (in meters) of rectangle ABCD on the coordinate plane?

(Type the number only)

Type answer here

Correct Answer: 22

Deg^°

Rad