7.4 properties of special parallelograms obj: students will be able to use properties of special...
DESCRIPTION
Rhombus A parallelogram with four congruent sides.TRANSCRIPT
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7.4 Properties of Special Parallelograms
OBJ: Students will be able to use properties of special parallelograms and diagonals of special parallelograms.
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Do Now
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RhombusA parallelogram with four congruent
sides.
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RectangleA parallelogram with four right angles.
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SquareA parallelogram with four
congruent sides and four right angles.
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Rhombus CorollaryA quadrilateral is a rhombus if
and only if it has four congruent sides.
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Rectangle CorollaryA quadrilateral is a rectangle if
and only if it has four right angles.
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Square CorollaryA quadrilateral is a square if and
only if it is a rhombus and a rectangle.
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1. For any rectangle ABCD, decide whether the statement is always or sometimes true. Explain your reasoning.
a. AB = BC
b. AB = CB
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2. For any square JKLM, is it always or sometimes true that . Explain your reasoning.
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Do NowWhat classifies a parallelogram as a rhombus, rectangle and square? i.e. what characteristics do each have.
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Rhombus Diagonals TheoremA parallelogram is a rhombus if and
only if its diagonals are perpendicular.
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Rhombus Opposite Angles TheoremA parallelogram is a rhombus if
and only if each diagonal bisects a pair of opposite angles.
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3. Find the measures of the numbered angles in rhombus ABCD.
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4. Find the measures of the numbered angles in rhombus DEFG.
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Rectangle Diagonals TheoremA parallelogram is a rectangle if
and only if its diagonals are congruent.
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5. In rectangle QRST, QS= 5x – 31 and RT = 2x + 11. Find the lengths of the diagonals of QRST.
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HWPg. 393 #3,5, 13-16, 25-33 odds