Name:
Date:
Plotting Polygons 6G3 Lesson 3: Homework
Instructions: Work on the following problems individually.
1. Do the following for each set of points:
 Sketch a picture of the polygon with vertices at the give points.
 Label the vertices with their coordinates.
 Find the length of each side using Method #2: Calculating Using Coordinates. Show your calculation.
 Calculate the perimeter of each polygon.
Note: The sketch with labeled vertices is provided for Set #1 as an example. The drawing does not need to be drawn to
scale however points that lie on the same horizontal or vertical line must do so.
Set #1
(7,11)
(15,11)
(7, 4)
(15, 4)
Perimeter is _________________________________.
Set #2
(2,23)
(18,23)
(18,18)
(11,18)
(11, 4)
(2, 4)
Perimeter is _________________________________.
Name:
Date:
2. Answer the following set of questions. Please do NOT plot any points. Use your knowledge of coordinates to answer
the questions.
A. Write down the coordinates of any point you want.
B. Write down the coordinates of three points that are all on the same horizontal line to the point you chose
in part A.
C. How do you know that the points you wrote down in part B are on the same horizontal line with the point
in part A?
D. Write down the coordinates of three points that are all on the same vertical line to the point you chose in
part A.
E. How do you know that the points you wrote down in part D are on the same vertical line with the point in
part A?
3. Find the side lengths of the polygon defined by vertices at the following coordinates:
(5,8)
(87,8)
(87,92)
(5,92)
Name:
Date:
4. For each of the following sets of points, decide whether they are the vertices of (1) a square, (2) a non-square
rectangle or (3) neither. Next explain how you came up with your conclusion.
Set A
(4,8)
(5,10)
(5,12)
The vertices form a ________________________.
Explanation:
(3,15)
Set B
(8,10)
(8,2)
(15,2)
The vertices form a ________________________.
Explanation:
(15,10)
Set C
(5,5)
(5,9)
(9,9)
The vertices form a ________________________.
Explanation:
(9,5)
Challenge #1:
For each of the following statements, fill in the blank with the coordinates of the point described.
A. I am point that is 5 units above (3,9). My coordinates are _________________.
B. I am a point 7 units to the right of (12,6). My coordinates are _________________.
C. I am a points 1 unit below (6,5). My coordinates are _________________.
D. I am a point 8 units to the left of (20, 31). My coordinates are _________________.
E. I am a point 4 units below the points (4,11). My coordinates are _________________.
F. I am a point 8 units to the left of (15, 12). My coordinates are _________________.