36. If the diagonals of a parallelogram parallelogram is a rectangle. are congruent, the

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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I am having trouble doing number 36
AB = EF?
b) if each is a
rhombus and
с н
AB = EF?
In Exercises 32 and 33, explain why each statement is true.
32. All sides of a rhombus are congruent.
posite
33. All angles of a rectangle are right angles.
_teral are
In Exercises 34 to 39, write a formal proof of each theorem.
I is a O
34. The diagonals of a square are perpendicular.
35. A diagonal of a rhombus bisects two angles of the rhombus.
36. If the diagonals of a parallelogram are congruent, the
parallelogram is a rectangle.
37. If the diagonals of a parallelogram are perpendicular, the
parallelogram is a rhombus.
Y
38. If the diagonals of a parallelogram are congruent and
perpendicular, the parallelogram is a square.
ints of the sides of a rectangle are joined in
Transcribed Image Text:AB = EF? b) if each is a rhombus and с н AB = EF? In Exercises 32 and 33, explain why each statement is true. 32. All sides of a rhombus are congruent. posite 33. All angles of a rectangle are right angles. _teral are In Exercises 34 to 39, write a formal proof of each theorem. I is a O 34. The diagonals of a square are perpendicular. 35. A diagonal of a rhombus bisects two angles of the rhombus. 36. If the diagonals of a parallelogram are congruent, the parallelogram is a rectangle. 37. If the diagonals of a parallelogram are perpendicular, the parallelogram is a rhombus. Y 38. If the diagonals of a parallelogram are congruent and perpendicular, the parallelogram is a square. ints of the sides of a rectangle are joined in
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