Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides...

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Types of Types of Quadrilaterals Quadrilaterals (4-sided (4-sided figures) figures)

Transcript of Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides...

Page 1: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Types of Types of QuadrilateralsQuadrilaterals

(4-sided (4-sided figures)figures)

Page 2: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

A four sided figure with both pairs of opposite sides parallel

Page 3: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Some Special Properties of

Parallelograms• Opposite sides are congruent• Diagonals bisect each other• Both pairs of opposite sides are

parallel

Page 4: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Solve for x.

Page 5: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Solve for x.

Page 6: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

A parallelogram with 4 right angles

Page 7: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Some Special Properties of Rectangles

• All the properties of a parallelogram

• Diagonals are congruent• 4 right angles

Page 8: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

A parallelogram with 4 congruent sides

Page 9: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Some Special Properties of Rhombus

• All the properties of a parallelogram

• Diagonals are perpendicular• 4 congruent sides

Page 10: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Solve for x in this rhombus.

Page 11: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Z

Rhombus.

1. VY =

2. mZVY

Page 12: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

A parallelogram with 4 congruent sides & 4 right angles

Page 13: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Some Special Properties of Square

•All the properties of a parallelogram, rectangle, & rhombus

Page 14: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Solve for x and y in this square.

Page 15: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Square1. EJ =

2. HF =

4. mEJF

5. mHGF

Page 16: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

A quadrilateral with 2 pairs of consecutive congruent sides, but opposites sides are NOT parallel

Page 17: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Some Special Properties of Kite

•Diagonals are perpendicular

Page 18: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

A quadrilateral with 1 pair of parallel sides called bases

Page 19: Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.

Have only one pair of opposite sides that are parallel.

leg leg

base

base

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A quadrilateral with 1 pair of parallel sides called bases and non-parallel sides are congruent (legs)

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Some Special Properties of Isosceles

Trapezoid•Diagonals are congruent

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Classifying Trianglesby Sides

•Equilateral – 3 congruent sides

• Isosceles – 2 congruent sides•Scalene – No sides congruent