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6-1 Classifying Quadrilaterals M11.C.1 2.9.11.C

6-1 Classifying Quadrilaterals M11.C.1 2.9.11.C. Objectives: To define and classify special types of quadrilaterals. Special Quadrilaterals . Parallelogram – is a quadrilateral with both pairs of opposite sides parallel . Rhombus – is a parallelogram with four congruent sides .

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6-1 Classifying Quadrilaterals M11.C.1 2.9.11.C

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  1. 6-1 Classifying QuadrilateralsM11.C.1 2.9.11.C Objectives: To define and classify special types of quadrilaterals.

  2. Special Quadrilaterals • Parallelogram – is a quadrilateral with both pairs of opposite sides parallel. • Rhombus – is a parallelogram with four congruent sides. • Rectangle – is a parallelogram with four right angles.

  3. Special Quadrilaterals • Square – a parallelogram with four congruent sides and four right angles. • Kite – is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.

  4. Special Quadrilaterals • Trapezoid – is a quadrilateral with exactly one pair of parallel sides. • Isosceles Trapezoid - is a trapezoid whose nonparallel sides are congruent.

  5. Classify the Shape Judging by appearance, classify each shape in as many ways as possible.

  6. Classify – Determine the most precise name for the quadrilateral Determine the most precise name for the quadrilateral. Step 1: Find the slope of EACH side. (Why must we find slope?) Step 2: Use the distance formula to find the length of EACH side. (Why must we find the distance?)

  7. Slope and Distance • Slope Formula: • Distance Formula:

  8. Example • Determine the most precise name for quadrilateral ABCD with vertices A(-3,3), B(2,4), C(3,-1), and D(-2, -2).

  9. Example: Classify • In a parallelogram RSTU • m∠R = 2x – 10 • m∠S = 3x + 50 • Find x

  10. Example • In kite ABCD, AB=BC and CD=DA. AB = 2y + 5 BC = x + 6 CD = 3x – 5 DA = 2x + 4 Find x and y.

  11. Classwork HANDED – IN Page 290 #1-12, 19-24, 37-42

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