5 lesson 4 properties of trapezoids
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This document discusses the properties of trapezoids. It defines a trapezoid as a quadrilateral with one pair of parallel sides. The parallel sides are called the bases, and the non-parallel sides are called the legs. Any angle formed between a leg and a base is called a base angle. The sum of the measures of a pair of base angles is 180 degrees. If the legs of a trapezoid are congruent, it is called an isosceles trapezoid, and its base angles are then congruent.
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5 lesson 4 properties of trapezoids
- 2. Objectives: • Identify the parts of a trapezoid; • Recognize the properties of a trapezoid; and, • Differentiate the properties between a trapezoid and a parallelogram.
- 4. Draw the following: • Quadrilateral ABCD and AB || CD. • Quadrilateral RSTW and RW || ST. • Quadrilateral JKLM, no sides are equal.
- 5. Questions: • Which of the given quadrilaterals is/are trapezoid? • What do you call the parallel sides of a trapezoid? • What do you call the nonparallel sides of a trapezoid? • What angle is being formed by the legs and one of the bases? • What is the sum of a pair of base angles?
- 6. Example: In a trapezoid PQRS, PQ || RS. • Name the bases, the legs, and both pairs of base angles. • Find the measure of angle S and Q.
- 7. Isosceles Trapezoid • If the legs of a trapezoid are equal, then the trapezoid is called an isosceles trapezoid. Properties of Isosceles Trapezoid • The lower and upper base angles are equal. • The diagonals of an isosceles trapezoid are equal.
- 8. Summary of Properties of Diagonals of Special Quadrilaterals Special Quadrilaterals Diagonals are always Diagonals always Bisect Equal Perpendicular Each Other VertexAngles Parallelogram Rectangle Rhombus Square Trapezoid Isosceles Trapezoid
- 9. Class Activity Answer ACTIVITY A, items 1 – 4 ACTIVITY B, items 1 – 2 Page 227