1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes 1

2. Warm Up Give examples of points in each quadrant. 1. First quadrant
Possible answers: (2, 3), (5, 6)
2. Second quadrant
Possible answers: (-1, 2), (-4, 4)
3. Third quadrant
Possible answers: (-2, -3), (-1, -6)
4. Fourth quadrant
Possible answers: (2, -3), (1, -4) 2

3. Learn to draw polygons in the coordinate plane and find the lengths of their sides.3

4. Remember that in a rectangle, opposite sides have equal length.
Helpful Hint 4

5. Additional Example 1: Drawing Polygons in the Coordinate Plane
Graph the triangle with vertices F(2, 5), G(4, 1), and H(0, 22).
Graph each point on the coordinate plane.
Then connect the points with straight lines to form a polygon. 5

6. Graph the triangle with vertices A(1, 2), B(4, 2), and C(3, 1).
Check It Out: Example 1
Graph the triangle with vertices A(1, 2), B(4, 2), and C(3, 1).
Graph each point on the coordinate plane.
Then connect the points with straight lines to form a polygon. 6

7. Additional Example 2: Finding Distance in the Coordinate Plane
Find the perimeter of the rectangle.
Step 1: Find the length and width.
To find the length of the rectangle, count from left to right along the x-axis from –1 to 3. The length is 4 units long. To find the width, count up the y-axis from –2 to 4. The width is 6 units long. 7

8. Additional Example 2: Continued
Step 2: Find the perimeter. Use the formula for the perimeter of a rectangle.
Length of the rectangle = l
Width of the rectangle = w
Perimeter = 2l + 2w
P = 2(4) + 2(6) = 20
The perimeter of the rectangle is 20 units. 8

9. Find the perimeter of the rectangle.
Check It Out: Example 2
Find the perimeter of the rectangle.
Step 1: Find the length and width.
To find the length of the rectangle, count from left to right along the x-axis from 5 to 8. The length is 3 units long. To find the width, count up the y-axis from 0 to 10. The width is 10 units long. 9

10. Continued: Check It Out: Example 2
Step 2: Find the perimeter. Use the formula for the perimeter of a rectangle.
Length of the rectangle = l
Width of the rectangle = w
Perimeter = 2l + 2w
P = 2(3) + 2(10) = 26
The perimeter of the rectangle is 26 units. 10

11. Additional Example 3: Social Studies Application
Candice’s house is at the corner of 3rd Avenue and 7th Street. She walks from her house west to Minus 2nd Avenue, then south to 4th Street, then east to 3rd Avenue, and then back home. How far did she walk?
Step 1: Plot the points and draw the rectangle.
Step 2: Find the length and width of the rectangle.
Step 3: Find the perimeter.
Perimeter = 2l + 2w
P = 2(5) + 2(3) = 16
Candice walked 16 blocks. 11

12. The polygon is a rectangle. The perimeter is 8 units
Check It Out: Example 3
A polygon has vertices at (2, 4), (3, 4), (3, 1),  and (2, 1). What type of polygon is this? What is its perimeter?
The polygon is a rectangle. The perimeter is 8 units 12

13. Lesson Quiz for Student Response Systems
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems 13

14. Lesson Quiz Part I
1. Graph the rectangle with vertices
(2, 2), (2, 5 ), (-3, 5 ), and (-3, 2). 2 1 2 1

15. Lesson Quiz Part II
2. Find the perimeter of the rectangle.
18 units

16. Lesson Quiz Part III
3. Albert set up his vegetable garden using a coordinate system with units of feet. The corners of the garden are at (4, -2), (4, 3), (-1 ,3), and (-1, -2). What is the perimeter of the garden?
20 feet

17. Lesson Quiz for Student Response Systems
1. Find the perimeter of the rectangle.
A. 12 units
B. 24 units
C. 26 units
D. 42 units 17

18. Lesson Quiz for Student Response Systems
2. A polygon has vertices at (2, 4), (3, 4), (3, 8), and (2, 8). What is its perimeter?
A. 2 units
B. 8 units
C. 10 units
D. 18 units 18