Transcript Slide 1
9-8 Classifying Quadrilaterals Preview Warm Up California Standards Lesson Presentation Holt CA Course 1 9-8 Classifying Quadrilaterals Warm Up Identify the triangle based on the given measurements. 1. 3 ft, 4 ft, 6 ft scalene 2. 46°, 90°, 44° right 3. 7 in., 7 in., 10 in. isosceles Holt CA Course 1 9-8 Classifying Quadrilaterals California Standards MG2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles triangle.) Holt CA Course 1 9-8 Classifying Quadrilaterals Objective: You will learn how to (YWLHT) name, identify, and draw types of quadrilaterals. Holt CA Course 1 9-8 Classifying Quadrilaterals Vocabulary parallelogram rectangle rhombus square trapezoid Holt CA Course 1 9-8 Classifying Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Parallelogram Both pairs of opposite sides are parallel. You can also classify a quadrilateral as a parallelogram if both pairs of opposite sides or both pairs of opposite angles are congruent. Holt CA Course 1 9-8 Classifying Quadrilaterals A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. Holt CA Course 1 9-8 Classifying Quadrilaterals A square is a parallelogram with four congruent sides and four right angles. A trapezoid has exactly one pair of opposite sides that are parallel. Holt CA Course 1 9-8 Classifying Quadrilaterals Quadrilaterals can have more than one name because the special quadrilaterals sometimes share properties. Holt CA Course 1 9-8 Classifying Quadrilaterals Quadrilaterals Holt CA Course 1 9-8 Classifying Quadrilaterals Example 1: Classifying Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. A. This figure has two pairs of parallel sides, so it is a parallelogram. It has four congruent sides, so it is also a rhombus. Rhombus best describes this quadrilateral. Holt CA Course 1 9-8 Classifying Quadrilaterals Example 2: Identifying Types of Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. B. The figure has exactly one pair of opposite sides that is parallel, so it is a trapezoid. Trapezoid best describes this quadrilateral. Holt CA Course 1 9-8 Classifying Quadrilaterals Example 3: Identifying Types of Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. C. The figure has two pairs of parallel sides, so it is a parallelogram. It has four right angles, so it is also a rectangle. Rectangle best describes this quadrilateral. Holt CA Course 1 9-8 Classifying Quadrilaterals Example 4: Identifying Types of Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. D. The figure has two pairs of parallel sides and both pairs of opposite angles are congruent, so it is a parallelogram. Parallelogram best describes this quadrilateral. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 5 Give all the names that apply to the quadrilateral. Then give the name that best describes it. A. This figure has two pairs of parallel sides, so it is called a parallelogram. It has four right angles, so it is also a rectangle. Rectangle best describes this quadrilateral. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 6 Give all the names that apply to the quadrilateral. Then give the name that best describes it. B. The figure has two pairs of parallel sides, so it is a parallelogram. It has four congruent sides, so it is also a rhombus. It does not have four right angles, so it is not a square or rectangle. Rhombus best describes this quadrilateral. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 7 Give all the names that apply to the quadrilateral. Then give the name that best describes it. C. The figure has two pairs of opposite sides that are parallel, so it is a parallelogram. It has four right angles, so it is also a rectangle. It has four congruent sides, so it is also a rhombus and a square. Square best describes this quadrilateral. Holt CA Course 1 9-8 Classifying Quadrilaterals Example 8: Drawing Quadrilaterals Draw each figure. If it is not possible to draw explain why. A. a rectangle that is not a rhombus. The figure has opposite sides that are parallel but does not have four congruent sides. Holt CA Course 1 9-8 Classifying Quadrilaterals Example 9: Drawing Quadrilaterals Draw each figure. If it is not possible to draw explain why. B. a square that is not a rhombus. Not possible; all squares are rhombi because they have 4 congruent sides. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 10 Draw each figure. If it is not possible to draw explain why. A. a trapezoid that is a rectangle. Not possible; A rectangle has four right angles and a trapezoid does not. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 11 Draw each figure. If it is not possible to draw explain why. B. a rhombus that is not a square. Possible answer: The figure has four congruent sides but no right angles. Holt CA Course 1 9-8 Classifying Quadrilaterals On-Line Tutoring Geo-match-try Geo-fit Geo-Terms Geo-Vocab Shape Quiz Angle Tangle Holt CA Course 1 9-8 Classifying Quadrilaterals Lesson Quiz 1. Give all the names that apply to the quadrilateral. Then give the name that best describes it. rhombus, quadrilateral, parallelogram; rhombus Draw each figure. If it is not possible to draw, explain why. 2. a quadrilateral with 4 right angles and 4 congruent sides square 3. a quadrilateral with only one pair of parallel sides trapezoid Holt CA Course 1