# Worksheet: Quadrants of the Coordinate Plane

In this worksheet, we will practice identifying the quadrant and find the coordinates of points in the four quadrants.

Q1:

Which of the points below is inside the circle?

• A
• B
• C
• D
• E

Q2:

What are the coordinates of the point ?

• A
• B
• C
• D
• E

Q3:

If Charlotte’s workplace is located at point , her house is located at point , and the gymnasium she uses is at point . Describe the number of blocks and the direction she needs to travel to get from the gymnasium to her house.

• A3 blocks west and 2 blocks north
• B11 blocks west and 2 blocks north
• C11 blocks east and 2 blocks south
• D2 blocks east and 11 blocks south
• E3 blocks east and 12 blocks south

Q4:

Express the coordinates that represent point , and then identify the quadrant it lies in.

• B , none
• D , none

Q5:

Which point is ?

• A
• B
• C
• D
• E

Q6:

If you know that point is located at on the graph, which of the shown points is 4 units from point ?

• A
• B
• C
• D

Q7:

A teacher plotted these points on the graph. Determine the -coordinate of the point whose -coordinate is .

Q8:

Chloe used this graph to show the number of points she scored in each of 7 rounds of a board game.

Which of the following statements represents the meaning of point ?

• AShe gained 3 points in the 2nd round.
• BShe gained 3 points in the 3rd round.
• CShe gained 2 points in the 3rd round.
• DShe lost 3 points in the 2nd round.
• EShe lost 2 points in the 3rd round.

Q9:

Which axis does the point lie on?

• A
• B

Q10:

What is the sign of the -coordinate of the point shown in the plane?

• Anegative
• BThe -coordinate is zero.
• Cpositive

What is the sign of the -coordinate of the point shown in the plane?

• Apositive
• BThe -coordinate is zero.
• Cnegative

Q11:

In which of these coordinate planes are the axes labeled correctly?

• ABoth are correct.
• BB
• CA

Q12:

What is the sign of the -coordinate of the point shown in the plane?

• AThe -coordinate is zero.
• Bnegative
• Cpositive

What is the sign of the -coordinate of the point shown in the plane?

• AThe -coordinate is zero.
• Bpositive
• Cnegative

Q13:

Victoria makes \$10.50 per hour as a waitress. She made a table to record her earnings in 4 different days. List this information as ordered pairs (time, earnings).

 Time (h) Earnings (\$) 1 2 3 4 10.5 21 31.5 42
• A
• B
• C
• D
• E

Q14:

The table shows how much fencing is required to surround square gardens of various side lengths. List this information as ordered pairs (side length, fencing).

 Side Length (ft) Fencing (ft) 7 1 2 7 5 8 7 3 4 7 7 8 30 3 0 1 2 31 3 1 1 2
• A
• B
• C
• D
• E

Q15:

The table shows the cost of buying chocolate bars at a local store. If this information is going to be plotted on a graph with the number of chocolate bars on the -axis, and cost on the -axis, write the ordered pair that represents buying 3 chocolate bars.

 Number of Chocolate Bars Cost 1 2 3 4 \$3 \$6 \$9 \$12
• A
• B
• C
• D
• E

Q16:

What are the signs of the - and -coordinates of any point belonging to the quadrant shaded in the figure below?

• A-coordinate: negative; -coordinate: positive
• B-coordinate: positive; -coordinate: positive
• C-coordinate: positive; -coordinate: negative
• D-coordinate: negative; -coordinate: negative

Q17:

True or False: There are 3 quadrants in the coordinate plane.

• Afalse
• Btrue

Q18:

What is the sign of the -coordinate of the point shown in the plane?

• AThe -coordinate is zero.
• Bpositive
• Cnegative

What is the sign of the -coordinate of the point shown in the plane?

• AThe -coordinate is zero.
• Bnegative
• Cpositive

Q19:

True or false? If Point and Point have the same -coordinate, then they always lie in the same quadrant of the coordinate plane.

• Atrue
• Bfalse

Q20:

What are the signs of the - and -coordinates of any point belonging to the quadrant shaded in the figure below?

• A-coordinate: positive, -coordinate: negative
• B-coordinate: negative, -coordinate: positive
• C-coordinate: negative, -coordinate: negative
• D-coordinate: positive, -coordinate: positive

Q21:

What are the signs of the - and -coordinates of any point belonging to the quadrant shaded in the figure below?

• A-coordinate: positive; -coordinate: negative
• B-coordinate: negative; -coordinate: negative
• C-coordinate: negative; -coordinate: positive
• D-coordinate: positive; -coordinate: positive

Q22:

In which two quadrants are the points whose and coordinates have opposite signs?

• AI and II
• BII and III
• CIII and IV
• DI and IV
• EII and IV

Q23:

What is the sign of the -coordinate of the point shown in the plane?

• Apositive
• BThe -coordinate is zero.
• Cnegative

What is the sign of the -coordinate of the point shown in the plane?

• AThe -coordinate is zero.
• Bpositive
• Cnegative

Q24:

In which two quadrants are the points whose and coordinates have the same sign?

• AI and IV
• BII and IV
• CII and III
• DI and III
• EIII and IV

Q25:

What are the signs of the - and -coordinates of any point belonging to the quadrant shaded in the figure below?

• A-coordinate: negative, -coordinate: negative
• B-coordinate: positive, -coordinate: negative
• C-coordinate: positive, -coordinate: positive
• D-coordinate: negative, -coordinate: positive