Midsegments of a Triangle

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Presentation transcript:

Midsegments of a Triangle

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)

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

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

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

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

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

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

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