In Exercises 29 to 35, complete a formal proof. 29. The diagonals of an isosceles trapezoid are congruent. 30. The median of a trapezoid is parallel to each base. 31. If two consecutive angles of a quadrilateral are supplementa- ry, the quadrilateral is a trapezoid. 32. If two base angles of a trapezoid are congruent, the trapezoid is an isosceles trapezoid. 33. If three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any transversal.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 34E: Generalize your findings in Exercise 33. 33. Can you use the construction for the midpoint of a...
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In Exercises 29 to 35, complete a formal proof.
29. The diagonals of an isosceles trapezoid are congruent.
30. The median of a trapezoid is parallel to each base.
31. If two consecutive angles of a quadrilateral are supplementa-
ry, the quadrilateral is a trapezoid.
32. If two base angles of a trapezoid are congruent, the trapezoid
is an isosceles trapezoid.
33. If three parallel lines intercept congruent segments on one
transversal, then they intercept congruent segments on any
transversal.
Transcribed Image Text:In Exercises 29 to 35, complete a formal proof. 29. The diagonals of an isosceles trapezoid are congruent. 30. The median of a trapezoid is parallel to each base. 31. If two consecutive angles of a quadrilateral are supplementa- ry, the quadrilateral is a trapezoid. 32. If two base angles of a trapezoid are congruent, the trapezoid is an isosceles trapezoid. 33. If three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any transversal.
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