Properties of Parallelograms

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a parallelogram?
Back
A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length.
Tags
CCSS.3.G.A.1
2.
FLASHCARD QUESTION
Front
What are the properties of a parallelogram?
Back
1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other. 4. Consecutive angles are supplementary.
Tags
CCSS.HSG.CO.C.11
3.
FLASHCARD QUESTION
Front
How can you prove that a quadrilateral is a parallelogram using opposite sides?
Back
If both pairs of opposite sides are equal in length, then the quadrilateral is a parallelogram.
Tags
CCSS.HSG.C.A.3
4.
FLASHCARD QUESTION
Front
What does it mean for diagonals to bisect each other in a parallelogram?
Back
It means that the diagonals of the parallelogram intersect at their midpoints, dividing each diagonal into two equal segments.
5.
FLASHCARD QUESTION
Front
What is the significance of opposite angles in a parallelogram?
Back
In a parallelogram, opposite angles are equal, which helps in proving that a quadrilateral is a parallelogram.
Tags
CCSS.HSG.C.A.3
6.
FLASHCARD QUESTION
Front
What is the relationship between consecutive angles in a parallelogram?
Back
Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.
Tags
CCSS.HSG.C.A.3
7.
FLASHCARD QUESTION
Front
What theorem states that if one pair of opposite sides is both parallel and equal, the quadrilateral is a parallelogram?
Back
The theorem states that if one pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram.
Tags
CCSS.HSG.CO.C.11
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