5.7.1: parallelograms (parallelogram, square, rectangle, rhombus) 5.7.2: special quadrilaterals...
TRANSCRIPT
![Page 1: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/1.jpg)
Midsegments of a Triangle
![Page 2: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/2.jpg)
Lesson 7: QUADRILATERALS
5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus)
5.7.2: Special Quadrilaterals (Trapezoid, Kite)
All Quadrilateral have 4 sides and the sum of the measures of the angles is 360
![Page 3: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/3.jpg)
PARALLELOGRAMSA 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
![Page 4: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/4.jpg)
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
![Page 5: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/5.jpg)
SQUARESA 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
![Page 6: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/6.jpg)
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
![Page 7: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/7.jpg)
TRAPEZOIDSA 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
![Page 8: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/8.jpg)
ISOSCELES TRAPEZOIDSAn 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
![Page 9: 5.7.1: Parallelograms (Parallelogram, Square, Rectangle, Rhombus) 5.7.2: Special Quadrilaterals (Trapezoid, Kite)](https://reader036.vdocument.in/reader036/viewer/2022082821/5697c01d1a28abf838cd0b21/html5/thumbnails/9.jpg)
KITESA 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