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EXAMPLE 2

Plot the point and describe its location. (0 , –3). (4, –2). (–1, 2.5). C. A. B. Begin at the origin, move 4 units to the right, then 2 units down. Point A lies in Quadrant IV. Begin at the origin, move 1 unit to the left, then 2.5 units up. Point B lies in Quadrant II.

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EXAMPLE 2

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  1. Plot the point and describe its location. (0 , –3) (4, –2) (–1, 2.5) C A B Begin at the origin, move 4 units to the right, then 2 units down. Point Alies in Quadrant IV. Begin at the origin, move 1 unit to the left, then 2.5 units up. Point Blies in Quadrant II. EXAMPLE 2 Graphing Points in a Coordinate Plane SOLUTION

  2. Begin at the origin, move 3 units down. Point Clies on the y-axis. EXAMPLE 2 Graphing Points in a Coordinate Plane

  3. On a field trip, students are exploring an archaeological site. They rope off a region to explore as shown. Identify the shape of the region and find its perimeter. The units on the scale are feet. EXAMPLE 3 Solve a Multi-Step Problem Archaeology

  4. x-coordinate ofA – l = x-coordinateofB –60 60 –30 –30 = = = EXAMPLE 3 Solve a Multi-Step Problem SOLUTION Notice that points A, B, C,and Dform a rectangle. Find the coordinates of the vertices. STEP1 A(–30, 20),B(30, 20),C(30, –20),D (–30, –20) STEP2 Find the horizontal distance from Ato Bto find the lengthl.

  5. y-coordinate ofA – w = y-coordinateofD 40 40 20 – (–20) = = = = 2(60) + 2(40) ANSWER The region’s perimeter is 200 units 10feet per unit =2000feet. EXAMPLE 3 Solve a Multi-Step Problem Find the vertical distance from Ato Dto find the width w. STEP3 STEP4 Find the perimeter: 2l + 2w = 200.

  6. (1, –2.5) (–3, 4) R S for Examples 2 and 3 GUIDED PRACTICE Plot the point and describe its location. Begin at the origin and move 3 units to the left, then 4 units up. Point R lies in Quadrant II. Begin at the origin and move 1 unit right, then 2.5 units down. Point S lies in Quadrant IV.

  7. (0.5 , 3) T (–3, 4) U for Examples 2 and 3 GUIDED PRACTICE Plot the point and describe its location. Begin at the origin and move 0.5 unit to the right, then 3 units up. Point T lies in Quadrant I. Begin at the origin and move 4 units to the left. Point U lies on the x-axis.

  8. ANSWER Answers may vary. Sample answer: Moving A and B to A(–30, 0) and B(30, 0), the perimeter is 160 units. Move points Aand Bin Example 3 to form a new rectangle. Find the perimeter. for Examples 2 and 3 GUIDED PRACTICE Plot the point and describe its location.

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