Properties of Quadrilaterals (4-sided figures)

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Presentation transcript:

Properties of Quadrilaterals (4-sided figures) Learning Target: Students can use coordinates to prove simple geometric theorems algebraically.

A four sided figure with both pairs of opposite sides parallel Parallelograms 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

Solve for x.

Solve for x.

A parallelogram with 4 right angles Rectangle A parallelogram with 4 right angles

Some Special Properties of Rectangles All the properties of a parallelogram Diagonals are congruent 4 right angles

A parallelogram with 4 congruent sides Rhombus A parallelogram with 4 congruent sides

Some Special Properties of Rhombus All the properties of a parallelogram Diagonals are perpendicular 4 congruent sides

Solve for x in this rhombus.

Rhombus. 1. VY = 2. mZVY Z

A parallelogram with 4 congruent sides & 4 right angles Square A parallelogram with 4 congruent sides & 4 right angles

Some Special Properties of Square All the properties of a parallelogram, rectangle, & rhombus

Solve for x and y in this square.

Square 1. EJ = 2. HF = 4. mEJF 5. mHGF

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

Some Special Properties of Kite Diagonals are perpendicular

A quadrilateral with 1 pair of parallel sides called bases Trapezoid A quadrilateral with 1 pair of parallel sides called bases

Have only one pair of opposite sides that are parallel. Trapezoids Have only one pair of opposite sides that are parallel. base leg

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

Some Special Properties of Isosceles Trapezoid Diagonals are congruent

Classifying Triangles by Sides Equilateral – 3 congruent sides Isosceles – 2 congruent sides Scalene – No sides congruent

Find the Missing Point Worksheet Classwork Find the Missing Point Worksheet

Homework Quadrilaterals and Parallelograms Homework Worksheet We will check it for a grade tomorrow.