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EXAMPLE 1

Show that ORST is a trapezoid. =. =. Slope of RS =. 4 – 3. 2 – 0. Slope of OT =. =. 2 – 0. 4 – 0. The slopes of RS and OT are the same, so RS OT. 2. 1. 1. 2. 4. 2. EXAMPLE 1. Use a coordinate plane. SOLUTION. Compare the slopes of opposite sides. –2. –1. =. =.

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EXAMPLE 1

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  1. Show that ORSTis a trapezoid. = = Slope of RS = 4 – 3 2 – 0 Slope of OT = = 2 – 0 4 – 0 The slopes of RSand OTare the same, so RSOT . 2 1 1 2 4 2 EXAMPLE 1 Use a coordinate plane SOLUTION Compare the slopes of opposite sides.

  2. –2 –1 = = Slope of ST = 2 , which is undefined = Slope of OR = The slopes of ST and ORare not the same, soST is not parallel to OR . 2 – 4 3 – 0 ANSWER 0 – 0 4 – 2 Because quadrilateral ORST has exactly one pair of parallel sides, it is a trapezoid. 3 0 EXAMPLE 1 Use a coordinate plane

  3. 2. In Example 1, which of the interior angles of quadrilateral ORSTare supplementary angles? Explain your reasoning. Parallelogram; opposite pairs of sides are parallel. ANSWER O and R , T and S;Consecutive Interior Angles Theorem ANSWER for Example 1 GUIDED PRACTICE 1. What If?In Example 1, suppose the coordinates of point Sare (4, 5). What type of quadrilateral is ORST? Explain.

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