Classifying Quadrilaterals

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Presentation transcript:

Classifying Quadrilaterals 8-7 Classifying Quadrilaterals Course 2 Warm Up Problem of the Day Lesson Presentation

Classifying Quadrilaterals Course 2 8-7 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

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Problem of the Day One angle of a parallelogram measures 90°. What are the measures of the other angles? all 90°

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Learn to name and identify, and draw types of quadrilaterals.

Insert Lesson Title Here Course 2 8-7 Classifying Quadrilaterals Insert Lesson Title Here Vocabulary parallelogram rectangle rhombus square trapezoid

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A parallelogram has both pairs of opposite sides parallel and congruent. Both pairs of opposite angles are congruent.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals A rectangle has four right angles. A rhombus has four congruent sides.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals A square has four congruent sides and four right angles. A trapezoid has exactly one pair of parallel sides.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Quadrilaterals can have more than one name because the special quadrilaterals sometimes share properties.

Additional Example 1A: Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Additional Example 1A: Classifying Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. 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.

Additional Example 1B: Identifying Types of Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Additional Example 1B: Identifying Types of Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. The figure has exactly one pair of opposite sides that is parallel, so it is a trapezoid. Trapezoid best describes this quadrilateral.

Additional Example 1C: Identifying Types of Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Additional Example 1C: Identifying Types of Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. 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.

Additional Example 1D: Identifying Types of Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Additional Example 1D: Identifying Types of Quadrilaterals Give all the names that apply to the quadrilateral. Then give the name that best describes it. 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.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Check It Out: Example 1A Give all the names that apply to the quadrilateral. Then give the name that best describes it. 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.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Check It Out: Example 1B Give all the names that apply to the quadrilateral. Then give the name that best describes it. 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.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Check It Out: Example 1C Give all the names that apply to the quadrilateral. Then give the name that best describes it. 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.

Additional Example 2A: Drawing Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Additional Example 2A: Drawing Quadrilaterals Draw each figure. If it is not possible to draw explain why. a rectangle that is not a square. Possible answer: The figure has opposite sides parallel and four right angles but does not have four congruent sides.

Additional Example 2B: Drawing Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Additional Example 2B: Drawing Quadrilaterals Draw each figure. If it is not possible to draw explain why. a square that is not a rhombus. Not possible; all squares are rhombi because they have 4 congruent sides.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Check It Out: Example 2A Draw each figure. If it is not possible to draw explain why. a trapezoid that is a rectangle. Not possible; A rectangle has four right angles and a trapezoid does not.

Classifying Quadrilaterals Course 2 8-7 Classifying Quadrilaterals Check It Out: Example 2B Draw each figure. If it is not possible to draw explain why. a rhombus that is not a square. Possible answer: The figure has four congruent sides but no right angles.

Classifying Quadrilaterals Insert Lesson Title Here Course 2 8-7 Classifying Quadrilaterals Insert Lesson Title Here 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. 4 right angles, 4 congruent sides square 3. only one pair of parallel sides trapezoid