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6.5 What Is It Called? Pg. 18 Identifying the Quadrilateral

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6.5 – What Is It Called?_ Identifying the Quadrilateral In this chapter you have studied many different types of quadrilaterals. Use the properties you have learned to answer the questions in this section. Be careful to not ASSuME anything!

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6.24 – NAME THE SHAPE Give the most exact name for the shape. squarekite rhombus

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trapezoid parallelogram

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rectanglerhombus square

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6.25 – TRUE OR FALSE? Determine if the following statements are true or false. If false, provide a counterexample.

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a.If a quadrilateral is equilateral, then it is equiangular. false rhombus b.If a quadrilateral is equiangular, then it is equilateral. false rectangle

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c. If a quadrilateral is a square, then it is a rectangle. true d. If a quadrilateral is a rectangle, then it is a square false Not all sides equal

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e. If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. false f. If the quadrilateral is a rhombus, then its diagonals are perpendicular. kite true

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g. If a quadrilateral has one pair of opposite sides parallel, then it is a parallelogram. false h. If a quadrilateral has consecutive sides congruent, then it is a rhombus. trapezoid false kite

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Both opposite sides are parallel Both opposite sides are equal Both opposite angles are equal All same-side interior angles are supplementary x xy y Diagonals bisect each other

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4 equal sides Diagonals are perpendicular Diagonals bisect angles Rhombus:

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4 right angles Diagonals are equal

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4 right angles and 4 = sides

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Consecutive sides are = Diagonals are perpendicular One pair of opposite angles are equal

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One pair of opposite sides parallel Two consecutive interior angles are supplementary x ay b

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One opposite side is equal Both base angles are equal Diagonals are equal ABAB D C

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6.26 – VENN DIAGRAMS Use your knowledge of shapes to complete the following Venn Diagrams. Use each shape only once.

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Mark which shapes have the following properties. 1. Both pairs of opposite sides are parallel. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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2. Both pairs of opposite sides are congruent Mark which shapes have the following properties. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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3. Both pairs of opposite angles are congruent Mark which shapes have the following properties. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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4. Exactly one pair of opposite sides are parallel Mark which shapes have the following properties. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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5. Exactly one pair of opposite sides are congruent Mark which shapes have the following properties. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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6. Exactly one pair of opposite angles are congruent Mark which shapes have the following properties. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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7. Diagonals are congruent Mark which shapes have the following properties. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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8. Diagonals are perpendicular Mark which shapes have the following properties. Parallelogram RhombusRectangleSquareTrapezoid Isosceles Trapezoid Kite

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Class Activity Make a square Make a rhombus w/ no right angles Make a rectangle Make a parallelogram w/ no right angles Make a kite Make a trapezoid Make an isosceles trapezoid Make an isosceles triangle Make a equilateral triangle

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