FINDING PERIMETER AND AREA IN THE COORDINATE PLANE

FINDING PERIMETER AND AREA IN THE COORDINATE PLANE CONCEPT: DISTANCE IN THE COORDINATE PLANE EQ: HOW DO WE FIND AREA & PERIMETER IN THE COORDINATE PLANE? (G. GPE. 7) VOCABULARY: DISTANCE FORMULA, POLYGON, AREA, PERIMETER 6. 2. 2: CALCULATING PERIMETER AND AREA 1

THINK-PAIR-SHARE • Think back to when you found the distance between two points. How did you find that amount? • With your partner, compare your notes to see if you missed anything. • Wait to be called on and then share your answers with the class. 6. 2. 2: CALCULATING PERIMETER AND AREA 2

INTRODUCTION A polygon is a two-dimensional figure formed by three or more segments. We will use the distance formula to find the perimeter, or the sum of the lengths of all the sides of a polygon, and the area, the number of square units inside of a polygon, such as finding the amount of carpeting needed for a room. Be sure to use the appropriate units (inches, feet, yards, etc. ) with your answers. 6. 2. 2: CALCULATING PERIMETER AND AREA 3

AREA OF A PARALLELOGRAM 6. 2. 2: CALCULATING PERIMETER AND AREA 4

GUIDED PRACTICE, EXAMPLE 1 Parallelogram ABCD has vertices A (-5, 4), B (3, 4), C (5, -1), and D (-3, -1). Calculate the perimeter and area of parallelogram ABCD. 6. 2. 2: CALCULATING PERIMETER AND AREA 5

EXAMPLE 1, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 6

EXAMPLE 1, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 7

EXAMPLE 1, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 8

EXAMPLE 1, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 9

EXAMPLE 1, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 10

EXAMPLE 1, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 11

AREA OF A TRIANGLE 6. 2. 2: CALCULATING PERIMETER AND AREA 12

GUIDED PRACTICE, EXAMPLE 2 Triangle ABC has vertices A (2, 1), B (4, 5), and C (7, 1). Calculate the perimeter and area of triangle ABC. 6. 2. 2: CALCULATING PERIMETER AND AREA 13

EXAMPLE 2 6. 2. 2: CALCULATING PERIMETER AND AREA 14

EXAMPLE 2, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 15

EXAMPLE 2, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 16

EXAMPLE 2, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 17

EXAMPLE 2, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 18

AREA OF A TRAPEZOID 6. 2. 2: CALCULATING PERIMETER AND AREA 19

GUIDED PRACTICE, EXAMPLE 3 Trapezoid EFGH has vertices E (-8, 2), F (-4, 2), G (-2, -2), and H (-10, -2). Calculate the perimeter and area of trapezoid EFGH. 6. 2. 2: CALCULATING PERIMETER AND AREA 20

EXAMPLE 3, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 21

EXAMPLE 3, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 22

EXAMPLE 3, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 23

EXAMPLE 3, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 24

EXAMPLE 3, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 25

EXAMPLE 3, CONTINUED 6. 2. 2: CALCULATING PERIMETER AND AREA 26

YOU TRY! 6. 2. 2: CALCULATING PERIMETER AND AREA 27

3 -2 -1 3 – List three things you learned from this lesson. 2 – List two things you used in this lesson that you learned in previous lessons. 1 – Write one question you still have about area and perimeter of polygons. 6. 2. 2: CALCULATING PERIMETER AND AREA 28