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Some Special Properties of Parallelograms

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Presentation on theme: "Some Special Properties of Parallelograms"— Presentation transcript:

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

2 Solve for x.

3 Solve for x.

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

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

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

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

8 Solve for x in this rhombus.

9 Rhombus VY = 2. mZVY Z

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

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

12 Solve for x and y in this square.

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

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

15 Some Special Properties of Kite
Diagonals are perpendicular

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

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

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

19 Some Special Properties of Isosceles Trapezoid
Diagonals are congruent

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


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