Construct a quadrilateral with one pair of parallel sides of lengths a and b .
How do you know which constructions to use?
Try sketching the final figure. This can help you visualize the construction steps you will need.
Given: segments of lengths a and b
Construct: quadrilateral ABYZ with
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You need a pair of parallel sides, so construct parallel lines as you did in Problem 1. Start by drawing a ray with endpoint A. Then draw
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Construct congruent corresponding angles to finish your parallel lines. | |
Now you need sides of lengths a and b. In Lesson 1-6, you learned how to construct congruent segments. Construct Y and Z so that
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Draw
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ABYZ is a quadrilateral with parallel sides of lengths a and b.