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Properties of Rhombus, Rectangles, and Squares Chapter 6 Section 4
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Objective Students will… Define and classify special types of parallelograms Use properties of diagonals of rhombuses and rectangles
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Special Parallelograms Special parallelograms have certain properties and so does their diagonals. Remember: A parallelogram is a quadrilateral with opposite sides parallel.
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Rhombus A parallelogram with four congruent sides. Think: A square tipped over
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Rectangle A parallelogram with four right angles.
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Square A parallelogram with four congruent sides and four right angles.
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Theorem 6-13 If a parallelogram is a rhombus, then its diagonals are perpendicular. Diagonals intersect at a right angle.
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Theorem 6-14 If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles
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Turn to page 377…. Look at Example 2 Try the “Got It” problem at the bottom.
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Theorem 6-15 If a parallelogram is a rectangle, then its diagonals are congruent.
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On page 378… Look at Problem 3 Try the “Got It” problem at the bottom.
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Create a Venn Diagram With a partner… Create a Venn Diagram as a graphic organizer for special right triangles.
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On page 379… Try problems #1-6 on your own.
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Beginning on page 379… Complete problems #7-40 in your work groups.
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Reflection 1. What are the three categories of special parallelograms? 2. What are the properties of the diagonals of a rectangle? A rhombus? 3. How might the properties you learned today help you to solve problems involving parallelograms?
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