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

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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. =. =. - PowerPoint PPT Presentation

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Page 1: EXAMPLE 1

EXAMPLE 1 Use a coordinate plane

Show that ORST is a trapezoid.

SOLUTION

Compare the slopes of opposite sides.

Slope of RS =

Slope of OT = 2 – 0 4 – 0 = 2

4= 1

2

The slopes of RS and OT are the same, so RS OT .

4 – 3 2 – 0 = 1

2

Page 2: EXAMPLE 1

EXAMPLE 1 Use a coordinate plane

Slope of ST = 2 – 4 4 – 2 = –2

2= –1

Slope of OR = 30

3 – 0 0 – 0 = , which is undefined

The slopes of ST and OR are not the same, so ST is not parallel to OR .

Because quadrilateral ORST has exactly one pair of parallel sides, it is a trapezoid.

ANSWER

Page 3: EXAMPLE 1

GUIDED PRACTICE for Example 1

1. What If? In Example 1, suppose the coordinates of point S are (4, 5). What type of quadrilateral is

ORST? Explain.

ANSWER Parallelogram; opposite pairs of sides are parallel.

In Example 1, which of the interior angles of quadrilateral ORST are supplementary angles? Explain your reasoning.

2.

ANSWER O and R , T and S; Consecutive Interior Angles Theorem

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