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7-6 Quadrilaterals Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

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Warm Up The lengths of three sides of a triangle are given. Classify the triangle. 1. 12, 12, 12 2. 18, 10, 14 3. 15, 15, 26 4. 23, 36, 16 equilateral scalene isosceles Course 1 7-6 Quadrilaterals scalene

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Problem of the Day How many different rectangles are in the figure. 10; if the rectangles are marked 1-5 clockwise from upper left, they are 1; 2; 3; 4; 5; 1-2; 3-4; 4-5; 3-5; 1-2-3-4-5. Course 1 7-6 Quadrilaterals

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Learn to identify, classify, and compare quadrilaterals. Course 1 7-6 Quadrilaterals

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Vocabulary quadrilateral parallelogram rectangle rhombus square trapezoid Insert Lesson Title Here Course 1 7-6 Quadrilaterals

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Course 1 7-6 Quadrilaterals A quadrilateral is a plane figure with four sides and four angles. Five special types of quadrilaterals and their properties will be shown in this lesson. The same mark on two or more sides of a figure indicates that the sides are congruent.

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Course 1 7-6 Quadrilaterals Parallelogram Opposite sides are parallel and congruent. Opposite angles are congruent. Rectangle Parallelogram with four right angles.

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Course 1 7-6 Quadrilaterals Rhombus Parallelogram with four congruent sides. Square Rectangle with four congruent sides.

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Course 1 7-6 Quadrilaterals Trapezoid Quadrilateral with exactly two parallel sides. May have two right angles.

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Course 1 7-6 Quadrilaterals Additional Example 1A: Naming Quadrilaterals Give the most descriptive name for each figure. The figure is a quadrilateral and a trapezoid. Trapezoid is the most descriptive name. A.

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Course 1 7-6 Quadrilaterals Additional Example 1B: Naming Quadrilaterals Give the most descriptive name for each figure. B. The figure is a quadrilateral, a parallelogram, and a rectangle. Rectangle is the most descriptive name.

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Course 1 7-6 Quadrilaterals Additional Example 1C: Naming Quadrilaterals Give the most descriptive name for each figure. C. The figure is a plane figure with three congruent sides. Equilateral triangle is the most descriptive name.

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Course 1 7-6 Quadrilaterals Additional Example 1D: Naming Quadrilaterals Give the most descriptive name for each figure. D. The figure is a quadrilateral, parallelogram, and rhombus. Rhombus is the most descriptive name.

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Course 1 7-6 Quadrilaterals Try This: Additional Example 1A Give the most descriptive name for each figure. A. The figure is a quadrilateral and a trapezoid. Trapezoid is the most descriptive name.

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Course 1 7-6 Quadrilaterals Try This: Additional Example 1B Give the most descriptive name for each figure. B. The figure is a quadrilateral. Parallelogram is the most descriptive name.

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Course 1 7-6 Quadrilaterals Try This: Additional Example 1C Give the most descriptive name for each figure. C. The figure is a plane figure, but it has more than 4 sides. This figure is not a quadrilateral. It is a hexagon.

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Course 1 7-6 Quadrilaterals Try This: Additional Example 1D Give the most descriptive name for each figure. D. The figure is a quadrilateral and a parallelogram. Parallelogram is the most descriptive name.

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Course 1 7-6 Quadrilaterals You can draw a diagram to classify quadrilaterals based on their properties.

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Course 1 7-6 Quadrilaterals Additional Example 2A & 2B: Classifying Quadrilaterals Complete each statement. A. A rectangle can also be called a ________. B. A parallelogram cannot be a __________. A rectangle has opposite sides that are parallel; it can be called a parallelogram. ? ? A parallelogram has opposite sides that are parallel; it cannot be called a trapezoid.

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Course 1 7-6 Quadrilaterals Try This: Example 2A & 2B Complete each statement. A. A rhombus with four right angles is a ________. B. A trapezoid has exactly _______ parallel sides, and may have _____ right angles. A rhombus has four congruent sides, and the opposite sides are parallel. If it has four right angles, then it is a square. ? A trapezoid is a quadrilateral with exactly two parallel sides and it may have two right angles. ? ?

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Lesson Quiz Complete each statement. 1. A quadrilateral with four right angles is a _________. 2. A parallelogram with four right angles and four congruent sides is a _______. 3. A figure with 4 sides and 4 angles is a ______. 4. Give the most descriptive name for this quadrilateral. square square or rectangle Insert Lesson Title Here quadrilateral trapezoid Course 1 7-6 Quadrilaterals ? ? ?

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