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Math · High School

Geometry, Unit 6: Quadrilaterals and Polygons

Geometry, Unit 6: Quadrilaterals and Polygons. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.

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What is a quadrilateral?
A polygon with four sides
What is the sum of the interior angles of any quadrilateral?
360 degrees
What is a parallelogram?
A quadrilateral with two pairs of parallel sides
What is true about opposite sides of a parallelogram?
They are congruent
What is true about opposite angles of a parallelogram?
They are congruent
What is true about consecutive angles of a parallelogram?
They are supplementary
What is true about the diagonals of a parallelogram?
They bisect each other
What is a rectangle?
A parallelogram with four right angles
What is special about a rectangle's diagonals, beyond a general parallelogram?
They are congruent
What is a rhombus?
A parallelogram with four congruent sides
What is special about a rhombus's diagonals?
They are perpendicular and bisect the angles
What is a square?
A parallelogram that is both a rectangle and a rhombus
What is a trapezoid?
A quadrilateral with exactly one pair of parallel sides
What are the parallel sides of a trapezoid called?
The bases
What is an isosceles trapezoid?
A trapezoid whose non-parallel sides (legs) are congruent

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