parallelogram quadrilateral rectangle rhombus

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
Problem 1CT
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Question

Mark all that apply: A square has all the properties of a ____________.

parallelogram
quadrilateral
rectangle
rhombus
Transcribed Image Text:parallelogram quadrilateral rectangle rhombus
Expert Solution
Step 1

Quadrilateral -

  • Every quadrilateral has four sides.
  • Every quadrilateral consist of four corners or vertex
  • The interior angle of quadrilateral adds up to 360° in every quadrilateral.

 

 

parallelogram-

  1. Opposite sides are congruent (AB = DC).
  2. Opposite angels are congruent (D = B).
  3. Consecutive angles are supplementary (A + D = 180°).
  4. If one angle is right, then all angles are right.
  5. The diagonals of a parallelogram bisect each other.
  6. Each diagonal of a parallelogram separates it into two congruent triangles.Parallelogram1
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