1. Standardized Test Practice EXAMPLE 2 SOLUTION Plot points P, Q, R, and S on a coordinate plane. Point P is located in Quadrant IV. Point Q is located in Quadrant III. Point R lies on the y -axis. Point S is located in Quadrant II. ANSWER Point S(2, 1) is in Quadrant II. The correct answer is D.

2. Finding Segment Lengths and Area EXAMPLE 3 Find the length, width, and area of rectangle ABCD. The length of the rectangle is the horizontal distance between A and B. To find this distance, find the absolute value of the difference between their x -coordinates. SOLUTION = 8 units Length x -coordinate of A – x -coordinate of B = – 4 – 4 = – 8 =

3. Finding Segment Lengths and Area EXAMPLE 3 The width of the rectangle is the vertical distance between A and D. This distance is the absolute value of the difference between their y -coordinates. The area of the rectangle is found by multiplying the length and width. Area lw 8(4) 32 square units = == 2 – 4 4 units (– 2)(– 2) = == Width y -coordinate of A – y -coordinate of D =

4. GUIDED PRACTICE for Examples 2 and 3 Plot the points in the same coordinate plane. Describe the location of each point. 2. A(2, 3) 3. B(0, 0) C( 2, 0) – 4. D( 1, 4) – – 5. ANSWER A is in quadrant I. ANSWER B is on the origin. ANSWER C lies on the x axis. ANSWER D is in quadrant III.

5. GUIDED PRACTICE for Examples 2 and 3 Geometry 6. Find the length, width, and area of rectangle ABCD formed by the points A(– 3, 4), B(3, 4), C( 3, 3), and D(3, 3). – – – ANSWER 7 units, 6 units, 42 square units