Indicate if it is true or false, justify. a) If a quadrilateral has a pair of congruent sides, then it is not a parallelogram. b) If a quadrilateral does not have congruent diagonals, then it must not be a rectangle. c) The sum of the exterior angles of a regular pentagon is 360 ° d) If a parallelogram has a right angle, it is a rectangle

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 27E: In Exercises 27 and 28, construct proofs. Given: Quadrilateral RSTU with diagonal US R and TUS are...
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Indicate if it is true or false, justify.

a) If a quadrilateral has a pair of congruent sides, then it is not a parallelogram.

b) If a quadrilateral does not have congruent diagonals, then it must not be a rectangle.

c) The sum of the exterior angles of a regular pentagon is 360 °

d) If a parallelogram has a right angle, it is a rectangle

 

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