THIS IS AN EXAMPLE. READ IT CLOSELY TO LEARN HOW TO GRAPH POLYGONS (closed sided figures) ON THE COORDINATE PLANE AND THEN FIND THE AREA.

Transcription

1 THIS IS AN EXAMPLE. READ IT CLOSELY TO LEARN HOW TO GRAPH POLYGONS (closed sided figures) ON THE COORDINATE PLANE AND THEN FIND THE AREA.

2 NOW TRY THE PROBLEMS BELOW ON YOUR OWN. DO THESE ON A SEPARATE PIECE OF PAPER. USE A PIECE OF GRAPH PAPER TO HELP YOU DRAW COORDINATE PLANES IF THE PROBLEM TELLS YOU TO GRAPH POINTS. DON T MAKE THE GRAPHS TOO LARGE, SINCE YOU GET ONLY PIECE OF PAPER. YOU WILL NEED TO FIT UP TO 6 GRAPHS, SO PLAN FOR THE SPACE ON THE PAPER. YOU WILL TURN THIS WORK IN AT THE END OF CLASS TO BE GRADED AS A CLASSWORK GRADE. **You might not finish the entire thing; just get as far as you can. But know that doing 2 problems for an entire class period is not reasonable.** # The coordinates of three corners of a square are (22, 0), (, 0), and (, 23). Graph these three points. What are the coordinates of the fourth corner of the square? Draw the square. #2

3 #3 Example : If the points on the coordinate plane below are the three vertices of a rectangle, what are the coordinates of the fourth vertex? How do you know? What are the length and width of the rectangle? Find the area and the perimeter of the rectangle. #4 A baseball diamond is in the shape of a square, with bases at (0, 4), (4, 0), (0, 24), and (24, 0). The pitcher s mound is located at (0, 0). 4 What is the area of the part of the square that is in Quadrant I? 5 What is the total area of the square? #5 Example 2: On a map, the library is located at (-2, 2), the city hall building is located at (0,2), and the high school is located at (0,0). Represent the locations as points on a coordinate grid with a unit of mile.. What is the distance from the library to the city hall building? The distance from the city hall building to the high school? How do you know? 2. What shape does connecting the three locations form? The city council is planning to place a city park in this area. How large is the area of the planned park? #6

4 #7 Kayla entered a contest to create a design for a playground at the local park. She plans to draw her design on a coordinate grid. - The playground shape is to be square. - One corner of the playground has to be located at the coordinates (2, 4). Use your grid paper to draw a figure Kayla can use for her design. #8 Rectangle KLMN is graphed using these coordinates: K(4, 5), M(9, 4), N(4, 4). What is the area of rectangle KLMN? #9

5 #0 Find the area of the parallelogram. y O x Show your work. # A swimming pool and the deck surrounding it are shown in the coordinate plane below. What is the area of the deck? Circle the letter of the correct answer. y Pool O Deck x A B C D 66 square units 2 square units 24 square units 45 square units

6 #2 Cheryl walks her dogs after school. The routes she takes are shown on the coordinate grid to the right. Route starts at point A and continues to points B, C, D, and back to A. Route 2 starts at P and goes to Q, R, S, and back to P. Which route is longer? y (, 8) (4, 8) P Q A (2, 6) (8, 6) B Route Route 2 D (2, 2) (8, 2) C S R (, ) (4, ) x