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Midsegments of a Triangle
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Lesson 7: QUADRILATERALS
All Quadrilateral have 4 sides and the sum of the measures of the angles is 360° Lesson 7: QUADRILATERALS 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)
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PARALLELOGRAMS A quadrilateral is a parallelogram if:
Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Consecutive angles are supplementary The diagonal forms two congruent triangles Diagonals bisect each other
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RECTANGLES A rectangle is a parallelogram: Opposite sides parallel
Opposite sides congruent All 4 angles are right angles Diagonals bisect each other Diagonals are congruent
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SQUARES A square is a parallelogram: All sides congruent
All right angles Opposite sides parallel Congruent diagonals Diagonals bisect each other Diagonals bisect opposite angles Diagonals are perpendicular
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RHOMBUSES A rhombus is a parallelogram: 4 congruent sides
Opposite sides parallel Consecutive angles are supplementary Diagonals bisect each other Diagonals bisect opposite angles Diagonals are perpendicular
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TRAPEZOIDS A trapezoid: NOT a parallelogram
1 set of opposite sides are parallel Parallel sides are called bases, nonparallel sides are called legs The midesegment is the average of the two parallel sides
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ISOSCELES TRAPEZOIDS An isosceles trapezoid: NOT a parallelogram
Bases are parallel Legs are congruent Base angles are congruent Diagonals are congruent The midsegment is the average of the two parallel sides
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KITES A kite: NOT a parallelogram
2 pairs of congruent sides that are adjacent The angles between the 2 noncongruent sides are congruent Diagonals are pependicular One of the diagonals is beisected
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