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6.1: Classifying Quadrilaterals

6.1: Classifying Quadrilaterals. Objective: To define and classify special types of quadrilaterals. Definitions of Quadrilaterals: Parallelogram Family. A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

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6.1: Classifying Quadrilaterals

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  1. 6.1: Classifying Quadrilaterals Objective: To define and classify special types of quadrilaterals

  2. Definitions of Quadrilaterals:Parallelogram Family A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rectangle is a parallelogram with fourright angles. A rhombus is a parallelogram with four congruent sides A square is a parallelogram with four right angles and four congruent sides.

  3. Definitions: The Trapezoid Family A trapezoid is a quadrilateral with exactly one pair of parallel sides An isosceles trapezoid is a trapezoid whose nonparallel sides are congruent.

  4. Definitions: The Kite A kite is a quadrilateral with two pairs of adjacent congruent sides and no opposite sides are congruent.

  5. Find the values of the variables. Rhombus 12 4y 2x-6

  6. Find the values of the variables. Isosceles Trapezoid 3x-1 2x+5

  7. Find the values of the variables for the kite. 2y+5 x+6 2x+4 3x-5

  8. Using Coordinates to Classify Quadrilaterals • Plot and label points on coordinate plane. Connect points to draw the quadrilateral. • Name all the sides of the quadrilateral. • Use the distance formula to determine the lengths of the sides: • Use the slope formula to find the slopes of the sides:

  9. What to do with the information….. • If opposite sides or adjacent sides are the same length, they are congruent • If opposite sides have the same slope, they are parallel • If adjacent sides have opposite, reciprocal slopes, they form right angles YOU NEED TO KNOW THE PROPERTIES OF EACH QUADRILATERAL TO DRAW ANY CONCLUSIONS!

  10. Determine the most precise name for the quadrilateral with the following vertices. A(-3, 3), B(2,4), C(3, -1), and D(-2, -2)

  11. Determine the most precise name for the quadrilateral with the following vertices. Q(-4, 4), B(-2, 9), H (8, 9) and A(10, 4)

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