1. Holt CA Course 1 9-8 Classifying Quadrilaterals Warm Up Warm Up California Standards Lesson Presentation Preview

2. 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 2. 46°, 90°, 44° 3. 7 in., 7 in., 10 in. scalene right isosceles

3. Holt CA Course 1 9-8 Classifying Quadrilaterals 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.) California Standards

4. 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.

5. 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.

6. 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.

7. Holt CA Course 1 9-8 Classifying Quadrilaterals Quadrilaterals can have more than one name because the special quadrilaterals sometimes share properties.

8. Holt CA Course 1 9-8 Classifying Quadrilaterals Vocabulary parallelogram rectangle rhombus square trapezoid

9. Holt CA Course 1 9-8 Classifying Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. A. Additional Example 1: Classifying Quadrilaterals 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.

10. Holt CA Course 1 9-8 Classifying Quadrilaterals Additional Example 1: Identifying Types of Quadrilaterals The figure has exactly one pair of opposite sides that is parallel, so it is a trapezoid. Trapezoid best describes this quadrilateral. Give all the names that apply to the quadrilateral. Then give the name that best describes it. B.

11. Holt CA Course 1 9-8 Classifying Quadrilaterals Additional Example 1: Identifying Types of Quadrilaterals The figure has two pairs of parallel sides, so it is a parallelogram. It has four right angles, so it is also a rectangle. Give all the names that apply to the quadrilateral. Then give the name that best describes it. C. Rectangle best describes this quadrilateral.

12. Holt CA Course 1 9-8 Classifying Quadrilaterals Additional Example 1: Identifying Types of Quadrilaterals The figure has two pairs of parallel sides and both pairs of opposite angles are congruent, so it is a parallelogram. Give all the names that apply to the quadrilateral. Then give the name that best describes it. D. Parallelogram best describes this quadrilateral.

13. Holt CA Course 1 9-8 Classifying Quadrilaterals Draw each figure. If it is not possible to draw explain why. Additional Example 2: Drawing Quadrilaterals A. a rectangle that is not a rhombus. The figure has opposite sides that are parallel but does not have four congruent sides.

14. Holt CA Course 1 9-8 Classifying Quadrilaterals Draw each figure. If it is not possible to draw explain why. Additional Example 2: Drawing Quadrilaterals B. a square that is not a rhombus. Not possible; all squares are rhombi because they have 4 congruent sides.

15. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 1 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. Give all the names that apply to the quadrilateral. Then give the name that best describes it. A. Rectangle best describes this quadrilateral.

16. Holt CA Course 1 9-8 Classifying Quadrilaterals Draw each figure. If it is not possible to draw explain why. Check It Out! Example 2 A. a trapezoid that is a rectangle. Not possible; A rectangle has four right angles and a trapezoid does not.

17. 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

18. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 1 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. Give all the names that apply to the quadrilateral. Then give the name that best describes it. B. Rhombus best describes this quadrilateral.

19. Holt CA Course 1 9-8 Classifying Quadrilaterals Check It Out! Example 1 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. Give all the names that apply to the quadrilateral. Then give the name that best describes it. C. Square best describes this quadrilateral.

20. Holt CA Course 1 9-8 Classifying Quadrilaterals Draw each figure. If it is not possible to draw explain why. Check It Out! Example 2 B. a rhombus that is not a square. The figure has four congruent sides but no right angles. Possible answer: