1. a. Name 4 different ordered pairs on the horizontal line shown above. b. What is true about every point along this horizontal line? c. Determine the distance between the end points of this line (Points A and B). d. True or false? This line can be described as x = 2.
Explain your thinking.

2.
a. Find the length of the line segment that starts at (3,3) and ends at (3, -2). b.
How would you describe this line?
3. a.
Draw a rectangle that has vertices in all four quadrants of the coordinate plane. b.
Label the ordered pairs on the vertices of your rectangle. c.
What do you notice about the x and y values of the ordered pairs?

4. a. Write the ordered pairs of the vertices of this
rectangle. b.
What is the distance between Point A and Point B? c.
What is the distance between Point B and Point C? d. What is the perimeter of the rectangle?

5. Find the perimeter of this geometric “L” shape.

6.
Carlos is hanging a picture in the space shown by the rectangle above. He is placing a nail at the center of the thick line shown in the rectangle. a.
Identify the ordered pair where the nail will be located. b.
Find the area of the space where the picture will be hanging. c.
Find the perimeter of the space.

7. If (6, 2) and ( x, y ) are points on a horizontal line and they are 10 units apart, which of the coordinates below might be ( x,y ) be?
(Identify all that apply).
a.
(-4, 2) b.
(16, -2) c.
(-4, -12) d.
(16, 2) e.
(6, -8) f.
(6, -2)

8.
Three of the four vertices of two rectangles are plotted on the graph below. a.
Find the fourth vertex of each rectangle..
N = ( , ), H = ( , ) b.
Find the distance between Point E and Point N. c.
Find the distance between Point P and Point H.

9. Below is a map of an amusement park. a. Name the ordered pair that represents the location of each of these rides. b. Find the distance from the roller coaster to the carousel.

10. Square
plane below.
is graphed on the coordinate a. Find the length of one side of this square. b. Find the area of this square. c. Find the perimeter of this square.

11. Points K, L, and M shown below are three vertices of a rectangle. a. Draw these vertices on your graph. b. Plot the fourth vertex of the rectangle on the grid. Name it vertex N and identify its coordinates. Then connect the vertices to form rectangle KLMN. c. Find the length and width of rectangle KLMN. d. Find the area of rectangle KLMN e. Find the perimeter of rectangle KLMN

12. a. Identify the location of the vertices of Triangle ABC. b. Find the area of the Triangle ABC.
c. Find a new triangle that has the same area as
Triangle ABC, yet has vertices in three different quadrants.

13.
a. Draw a triangle so that the vertices are
X ( 6, 2)
Y (- 4, 2)
Z (- 4, -5) . b. In which quadrants do the vertices of this triangle lie? c. Find the area of Triangle XYZ.

ANSWERS
1a. Any ordered pair will work as long as -4 ≤ x ≤ 4 and y =
2
1b. The value of y is 2.
1c. 8 units
1d. False. This line can be described as y = 2, because every point on this line has a value of 2 for y .
2a. 5 units
2b. This is a vertical line where x
= 3.
3a. Many possible choices.
3b. Answers will vary.
3c. The upper two vertices and the lower two vertices will have the same y values. The left side vertices and the right side vertices will have the same x values.
4a. A = (-4,3) B = (2, 3)
C = (2, -1) D ( -4, -1)
4b. 6 units
4c. 4 units
4d. 20 units
5. 10 units
6a. (0, 1)
6b. 56 square units
6c. 30 units
7. a. (-4, 2) and d. (16, 2)
8a. N = (-2, 6) and H = (5, 3)
8b. 4 units
8c. 12 units
9a. Roller coaster: (-9, 7)
Carousel: (8, 7)
Ferris Wheel: (-7, -8) Log
Flume: (7, -9)
9b. 17 units
10a. 9 units
10b. 81 square units
10c. 36 units
11b N = (-3, -6)
11c. L = 12 units, W = 5 units
11d. Area: 60 square units
11e. Perimeter: 34 units
12a. A = (2,2) B = (2, 6) C = (4,2)
12b. 4 square units
12c. Many possibilities! But the area must also be 4 square units.
13b. X is in QI
Y is in QII
Z is in QIII
13c. 35 square units