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Standardized Test Practice

Practice plotting points and finding segment lengths and areas in a coordinate plane. Understand quadrant locations, distance calculations, and area formulas for rectangles.

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Standardized Test Practice

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  1. ANSWER Point S(2, 1)is in QuadrantII. The correct answer is D. EXAMPLE 2 Standardized Test Practice SOLUTION Plot points P, Q, R, and Son a coordinateplane. Point Pis located inQuadrantIV.Point Qis located inQuadrant III. Point Rlies on the y-axis.Point Sis located in QuadrantII.

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

  3. Width y-coordinate of A–y-coordinate of D = 2 – 4 4units (–2) = = = 32square units Area lw = = = 8(4) EXAMPLE 3 Finding Segment Lengths and Area The width of the rectangle is the vertical distance between Aand 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.

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

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

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