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

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

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

6 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

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 Z Rhombus. 1. VY = 2. m  ZVY

12 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 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

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

20 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 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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