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37 Cards in this Set
- Front
- Back
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Square
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A polygon with 4 congruent sides with 2 parallel sides and has all right angles and all angles are congruent
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Rectangle
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2 pairs of congruent sides, 2 pairs of parallel sides all angles are congruent and they are all right angles
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Rhombus
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A polygon with two pairs of parallel sides
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Parallelogram
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Quadrilateral with opposite sides parallel to each other and equal in length
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Trapezoid
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A quadrilateral with exactly one pair of parallel sides
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Bases
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Are the parallel sides of a trapezoid
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Legs
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The non-parallel sides of a trapezoid
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Isosceles Trapezoid
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A trapezoid in which the legs are congruent
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Theorem 6.12
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If a trapezoid is isosceles then each pair of base angles are congruent
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Midsegment of a Trapezoid
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The segment that connects the midpoints of the leg
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Theorem 6.13
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If a trapezoid has a pair of congruent base angles, then it is isosceles
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Rhombus Corollary
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If a quadrilateral has four congruent sides, then it is a rhombus
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Rectangle Corollary
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If a quadrilateral has four right angles, then it is a rectangle
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Square Corollary
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If a quadrilateral has four congruent sides and four right angles, then it is a square
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Theorem 6.10
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The diagonals of a rhombus are perpendicular (90 degree angle)
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Theorem 6.11
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The diagonals of a rectangle are congruent
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Theorem 6.6
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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
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Theorem 6.7
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If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram
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Theorem 6.8
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If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram
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Theorem 6.9
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If the diagonals of a quadrilateral bisect eachtoher, then the quadrilateral is a parallelogram
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Theorem 6.2
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If a quadrilateral is a parallelogram then it's opposite sides are congruent
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Theorem 6.3
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If a quadrilateral is a parallelogram then it's opposite angles are congruent
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Theorem 6.4
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If a quadrilateral is a parallelogram then it's consecutive angles are supplementary
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Theorem 6.5
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If a quadrilateral is a parallelogram then its diagonals bisect eachother
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Polygon
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Plane figure that is formed by three or more segments; must be closed
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Sides
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The segments which make up a polygon
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Vertex
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The endpoint(s) of each side
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Diagonal
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A segment that joins two non-consecutive (DEF: not two in a row) vertices of a polygon
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3
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Triangle
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4
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Quadrilateral
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5
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Pentagon
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6
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Hexagon
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7
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Heptagon
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8
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Octagon
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9
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Nonagon
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10
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Decagon
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Theorem 6.1 "QIAT"
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The sum of the measures of the interior angles of a quadrilateral is 360 degrees
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