Quadrilaterals PDF

QUADRILAT ERALS PARALLEGRAMS, KITE AND TRAPIZOIDS prepared by: Baculo, luke Andrei LEARNIN G Define and classify quadrilaterals OUTCOM By the end of the lesson, you'll be able to: identify and describe...

QUADRILAT ERALS PARALLEGRAMS, KITE AND TRAPIZOIDS prepared by: Baculo, luke Andrei LEARNIN G Define and classify quadrilaterals OUTCOM By the end of the lesson, you'll be able to: identify and describe properties ES iAnalyze relationships between quadrilaterals  This lesson explores the fascinating world of quadrilaterals, four-sided polygons with unique properties. We'll delve into two specific types: parallelograms and kites and trapezoids, examining their characteristics, key differences, and real-world examples. Opposite sides are equal in length. This means if ne side of a parallelogram is 5 cm long, the pposite side is also 5 cm long. Opposite angles are equal in measure. If one angle a parallelogram is 60 degrees, the angle opposite is also 60 degrees. Consecutive angles are supplementary. onsecutive angles are those that share a side. Their easures add up to 180 degrees. Diagonals bisect each other. Diagonals are lines onnecting opposite vertices. They intersect at their idpoints, dividing each other into equal segments.  EXAMPLES OF PARALLELOGRAMS: - Rectangle: A parallelogram with four right angles. - Square: A rectangle with all sides equal. - Rhombus: A parallelogram with all B. KITES - Diagonals are Kites are perpendicular to each quadrilaterals with other. The diagonals of two pairs of adjacent a kite intersect at a sides that are right angle. congruent. This means - The longer diagonal bisects the shorter that two sides next to diagonal. The longer each other are equal diagonal divides the in length, and the shorter diagonal into other two sides are two equal segments. also equal.  B. 2. TRAPIZOIDS Trapezoids are quadrilaterals with exactly one pair of parallel sides. These parallel sides are called bases, and the non-parallel sides are called legs - The angles on the same side of a leg are supplementary. The angles formed between a leg and a base add up to 180 degrees. - The diagonals of a trapezoid intersect each other. However, they do not bisect  TYPES OF TRAPEZOIDS - Isosceles Trapezoid: A trapezoid with congruent legs. - Right Trapezoid: A trapezoid with two adjacent right angles. - Scalene Trapezoid: A trapezoid with all four sides of different lengths.  - Quadrilaterals are four-sided polygons KEY with diverse properties. - Parallelograms have two pairs of TAKEA parallel sides, leading to specific characteristics like equal opposite sides WAYS.. and angles, and bisecting diagonals. - Kites have two pairs of congruent adjacent sides, with perpendicular diagonals and the longer diagonal bisecting the shorter one. - Trapezoids have exactly one pair of parallel sides, with supplementary angles on the same side of a leg and intersecting diagonals. Part 1: Identifying Quadrilaterals 1. Which of the following describes a kite? a) A quadrilateral with two pairs of parallel sides. b) A quadrilateral with two pairs of congruent sides, where o diagonal. c) A quadrilateral with four right angles. d) A quadrilateral with all sides congruent. 2. Which of the following describes a trapezoid? a) A quadrilateral with four right angles. b) A quadrilateral with all sides congruent. c) A quadrilateral with at least one pair of parallel sides. Part 2: Properties of Kites and Trapezoids 3. What is a unique property of kites? a) All angles are equal. b) Diagonals bisect each other. c) Diagonals are perpendicular. d) All sides are congruent. 4. Which of the following is always true for a trapezoid? a) All angles are right angles. b) The two non-parallel sides are congruent. c) The diagonals are perpendicular. d) The two parallel sides are congruent.  Part 3: Applying Knowledge 5. A quadrilateral has two pairs of congruent sides, and one pair of opposite angles is congruent. Is this quadrilateral a kite or a trapezoid? Explain your answer.