Whether the figure with given vertices is a trapezoid.
Answer to Problem 3CYU
ABCD is a trapezoid.
Explanation of Solution
Given:
The given vertices are:
Calculation:
Draw the quadrilateral using given vertices:
Use the slope formula to compare the opposite sides:
The slope of AB will be:
The slope of BC will be:
The slope of CD will be:
The slope of AD will be:
The slopes of exactly one pair of opposite sides are equal, so exactly one pair of opposite sides is parallel.
Hence, ABCD is a trapezoid.
Chapter 6 Solutions
Geometry, Student Edition
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