18. Prove that the opposite sides of a rectangle are congruent. (Hint: Assume one side, say AB, has length greater than that of the opposite side CD. What construction can you make on segment AB? Use the Exterior Angle Inequality.)

18. Prove that the opposite sides of a rectangle are congruent. (Hint: Assume one side, say AB, has length greater than that of the opposite side CD. What construction can you make on segment AB? Use the Exterior Angle Inequality.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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Question

18. Prove that the opposite sides of a rectangle are congruent. (Hint: Assume one side,
say AB, has length greater than that of the opposite side CD. What construction can
you make on segment AB? Use the Exterior Angle Inequality.)

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