Chapter 6 Quads

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Chapter 6 Quadrilaterals Course 2 Warm Up Problem of the Day Lesson Presentation

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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 Course 2 7-7 Quadrilaterals

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

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Learn to name and identify types of quadrilaterals. Course 2 7-7 Quadrilaterals

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

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Course 2 7-7 Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A parallelogram has two pairs of parallel sides.

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Course 2 7-7 Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A rhombus has four congruent sides.

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Course 2 7-7 Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A rectangle has four right angles.

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Course 2 7-7 Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A square has four congruent sides and four right angles.

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Course 2 7-7 Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A trapezoid has exactly one pair of parallel sides.

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Course 2 7-7 Quadrilaterals Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals. A kite has exactly two pairs of congruent adjacent sides.

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

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Give all the names that apply to the quadrilateral. Additional Example 1A: Identifying Types of Quadrilaterals Course 2 7-7 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 .

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Give all the names that apply to the quadrilateral. Additional Example 1B: Identifying Types of Quadrilaterals Course 2 7-7 Quadrilaterals The figure has exactly two pairs of congruent, adjacent sides, so it is a kite . It does not fit the definitions of any of the other special quadrilaterals.

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Give all the names that apply to the quadrilateral. Additional Example 1C: Identifying Types of Quadrilaterals Course 2 7-7 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 .

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Give all the names that apply to the quadrilateral. Try This : Example 1A Course 2 7-7 Quadrilaterals 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 .

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Give all the names that apply to the quadrilateral. Try This : Example 1B Course 2 7-7 Quadrilaterals The figure has two pairs of parallel sides, so it is a parallelogram . 6 ft 6 ft 6 ft 6 ft It has four congruent sides, so it is also a rhombus .

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Give all the names that apply to the quadrilateral. Try This : Example 1C Course 2 7-7 Quadrilaterals The figure has exactly one pair of parallel sides, so it is a trapezoid . It does not fit the definitions of any of the other special quadrilaterals.

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Tell whether the statement is true or false. Explain your answer. Additional Example 2A: Recognizing Relationships Between Quadrilaterals Course 2 7-7 Quadrilaterals A. All rhombuses are squares. A rhombus has four congruent sides, but some may or may not have right angles. The statement is false.

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Tell whether the statement is true or false. Explain your answer. Additional Example 2B: Recognizing Relationships Between Quadrilaterals Course 2 7-7 Quadrilaterals B. Not all squares are rectangles. A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement is false.

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Tell whether the statement is true or false. Explain your answer. Additional Example 2C: Recognizing Relationships Between Quadrilaterals Course 2 7-7 Quadrilaterals C. Some parallelograms are squares. A square has all the properties of a parallelogram, so some parallelograms do have equal sides and right angles; however, some do not. The statement is true.

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Tell whether the statement is true or false. Explain your answer. Try This : Example 2A Course 2 7-7 Quadrilaterals A. All squares are rectangles. A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement is true.

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Tell whether the statement is true or false. Explain your answer. Try This : Example 2B Course 2 7-7 Quadrilaterals B. Some rectangles are squares. If the rectangle has four congruent sides, then it is a square. The statement is true.

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Tell whether the statement is true or false. Explain your answer. Try This : Example 2C Course 2 7-7 Quadrilaterals C. Some trapezoids are squares. A square has two sets of parallel sides, but a trapezoid has only one set of parallel sides. The statement is false.

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Lesson Quiz: Part 1 Insert Lesson Title Here Course 2 7-7 Quadrilaterals 1. Give all the names that apply to the quadrilateral. rhombus quadrilateral parallelogram Identify the quadrilateral described. 2. 4 right angles, 4 congruent sides square 3. only one pair of parallel sides trapezoid

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Lesson Quiz: Part 2 Insert Lesson Title Here Course 2 7-7 Quadrilaterals Tell if each statement is true or false. Explain. 4. All quadrilaterals are parallelograms. False; a quadrilateral is any 4-sided polygon. 5. Every parallelogram is a rectangle. False; a rectangle is a specific kind of parallelogram with four right angles.