Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid conclusion? Explain. 41° 41° 41° 41° A. Square; because the mmgonal bisects a pair of opposite angles. Also, by ASA and the converse of the Isosceles Triangle Theorem, all four sides are congruent. B. Rhombus; because the diagonal bisects a pair of opposite angles. Also, by ASA and the converse of the Isosceles Triangle Theorem, all four sides are congruent. C. Rectangle; because the diagonal bisects a pair of opposite angles. Also, by SAS and the converse of the Equilateral Triangle Theorem, all four sides are congruent. D. Rhombus; because the diagonal bisects a pair of opposite angles. Also, by SAS and the converse of the Equilateral Triangle Theorem, all four sides are congruent.

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
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 43E
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Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid conclusion? Explain.
41°
41°
41°
41°
A. Square; because the mgonal bisects a pair of opposite angles. Also, by ASA and the converse of the Isosceles Triangle Theorem, all four
sides are congruent.
B. Rhombus; because the diagonal bisects a pair of opposite angles. Also, by ASA and the converse of the Isosceles Triangle Theorem, all four
sides are congruent.
C. Rectangle; because the diagonal bisects a pair of opposite angles. Also, by SAS and the converse of the Equilateral Triangle Theorem, all
four sides are congruent.
O D. Rhombus; because the diagonal bisects a pair of opposite angles. Also, by SAS and the converse of the Equilateral Triangle Theorem, all
four sides are congruent.
Transcribed Image Text:Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid conclusion? Explain. 41° 41° 41° 41° A. Square; because the mgonal bisects a pair of opposite angles. Also, by ASA and the converse of the Isosceles Triangle Theorem, all four sides are congruent. B. Rhombus; because the diagonal bisects a pair of opposite angles. Also, by ASA and the converse of the Isosceles Triangle Theorem, all four sides are congruent. C. Rectangle; because the diagonal bisects a pair of opposite angles. Also, by SAS and the converse of the Equilateral Triangle Theorem, all four sides are congruent. O D. Rhombus; because the diagonal bisects a pair of opposite angles. Also, by SAS and the converse of the Equilateral Triangle Theorem, all four sides are congruent.
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