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Properties of Quadrilaterals (4-sided figures)

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Presentation on theme: "Properties of Quadrilaterals (4-sided figures)"— Presentation transcript:

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

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

3 Some Special Properties of Parallelograms
Opposite sides are congruent Diagonals bisect each other Both pairs of opposite sides are parallel

4 Solve for x.

5 Solve for x.

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

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

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

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

10 Solve for x in this rhombus.

11 Rhombus VY = 2. mZVY Z

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

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

14 Solve for x and y in this square.

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

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

17 Some Special Properties of Kite
Diagonals are perpendicular

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

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

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

21 Some Special Properties of Isosceles Trapezoid
Diagonals are congruent

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

23 Find the Missing Point Worksheet
Classwork Find the Missing Point Worksheet

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


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