Quadrilaterals: 20 flashcards
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1. What is a quadrilateral?
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A quadrilateral is a polygon with four sides, four vertices, and four angles.
2. What is the sum of the interior angles of a quadrilateral?
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The sum of the interior angles of any quadrilateral is $360^\circ$.
3. What is a diagonal of a quadrilateral?
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A diagonal is a line segment joining two non-adjacent vertices of the quadrilateral.
4. How many diagonals does a quadrilateral have?
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A quadrilateral has 2 diagonals.
5. What is a parallelogram?
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A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
6. In a parallelogram, what is true about opposite sides?
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Opposite sides of a parallelogram are equal in length.
7. In a parallelogram, what is true about opposite angles?
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Opposite angles of a parallelogram are equal.
8. In a parallelogram, what is true about adjacent angles?
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Adjacent angles of a parallelogram are supplementary (sum to $180^\circ$).
9. What is the property of diagonals of a parallelogram?
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The diagonals of a parallelogram bisect each other.
10. What is a rhombus?
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A rhombus is a parallelogram with all four sides equal.
11. What is special about the diagonals of a rhombus?
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The diagonals of a rhombus are perpendicular bisectors of each other.
12. What is a rectangle?
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A rectangle is a parallelogram with all angles equal to $90^\circ$.
13. What is special about the diagonals of a rectangle?
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The diagonals of a rectangle are equal in length and bisect each other.
14. What is a square?
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A square is a parallelogram with all sides equal and all angles equal to $90^\circ$.
15. What is special about the diagonals of a square?
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The diagonals of a square are equal, perpendicular bisectors of each other.
16. What is a kite?
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A kite is a quadrilateral with two distinct pairs of adjacent sides equal.
17. What is a trapezium?
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A trapezium is a quadrilateral with at least one pair of parallel sides.
18. What is an isosceles trapezium?
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An isosceles trapezium is a trapezium with non-parallel sides equal.
19. What is the sum of the exterior angles of any quadrilateral?
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The sum of the exterior angles of any quadrilateral is $360^\circ$.
20. What is the angle sum property of a quadrilateral?
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The sum of the four interior angles of a quadrilateral is $360^\circ$.
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