
Properties of Parallelograms and Related Concepts
Flashcard
•
Mathematics
•
12th Grade
•
Hard
Lisa Roberts
FREE Resource
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12 questions
Show all answers
1.
FLASHCARD QUESTION
Front
Parallelogram Opposite Sides
Back
Opposite sides of a parallelogram are congruent. Example: If AB || CD and AD || BC, then AB = CD and AD = BC.
2.
FLASHCARD QUESTION
Front
Parallelogram Opposite Angles
Back
Opposite angles of a parallelogram are congruent. Example: If ABCD is a parallelogram, then ∠A = ∠C and ∠B = ∠D.
3.
FLASHCARD QUESTION
Front
Parallelogram Consecutive Angles
Back
Consecutive angles of a parallelogram are supplementary. Example: If ABCD is a parallelogram, then ∠A + ∠B = 180°.
4.
FLASHCARD QUESTION
Front
Parallelogram Diagonals
Back
Diagonals of a parallelogram bisect each other. Example: If AC and BD are diagonals, then AO = OC and BO = OD.
5.
FLASHCARD QUESTION
Front
Rectangle Properties
Back
A rectangle has all properties of a parallelogram, plus congruent diagonals and four right angles. Example: If ABCD is a rectangle, then ∠A = ∠B = ∠C = ∠D = 90° and AC = BD.
6.
FLASHCARD QUESTION
Front
Rhombus Properties
Back
A rhombus has all properties of a parallelogram, plus all sides congruent and diagonals perpendicular. Example: If ABCD is a rhombus, then AB = BC = CD = DA and AC ⊥ BD.
7.
FLASHCARD QUESTION
Front
Square Properties
Back
A square has all properties of a rectangle and rhombus, making it a regular quadrilateral. Example: If ABCD is a square, then all sides and angles are equal, and AC = BD.
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