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Understanding Quadrilaterals: Types and Properties

Learn about parallelograms, rectangles, rhombuses, squares, kites, trapezoids, isosceles trapezoids, and triangle classifications. Explore their unique properties and solve for missing angles and sides with helpful exercises.

evangeline-cortez
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Understanding Quadrilaterals: Types and Properties

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  1. Go over the Test

  2. Types of Quadrilaterals(4-sided figures)

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

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

  5. Solve for x.

  6. Solve for x.

  7. Rectangle A parallelogram with 4 right angles

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

  9. Rhombus A parallelogram with 4 congruent sides

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

  11. Solve for x in this rhombus.

  12. Rhombus.1. VY =2. mZVY Z

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

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

  15. Solve for x and y in this square.

  16. Square1. EJ = 2. HF =4. mEJF5. mHGF

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

  18. Some Special Properties of Kite • Diagonals are perpendicular

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

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

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

  22. Some Special Properties of Isosceles Trapezoid • Diagonals are congruent

  23. Classifying Trianglesby Sides • Equilateral – 3 congruent sides • Isosceles – 2 congruent sides • Scalene – No sides congruent

  24. Classwork Find the Missing Point Worksheet

  25. Homework Quadrilaterals and Parallelograms Homework Worksheet

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