Name:_____________________ Date:____________ Block:_____ Quadrilaterals Study Guide Answer Key You must know the definition of the following terms……….. Parallel Lines Congruent Bisect Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square Directions: Draw a quadrilateral in each of the boxes using the given information. A quadrilateral with four congruent sides. A quadrilateral with two pairs of parallel sides. Draw a square or rectangle. Draw any parallelogram. A rectangle that is not a square. A quadrilateral that is not a parallelogram. A rhombus that is not a square. A quadrilateral that is both a rectangle and a rhombus. Draw a Square. Directions: Name all that apply: quadrilateral, parallelogram, square, rectangle, rhombus, trapezoid. 1. 2. Quadrilateral, Quadrilateral, Parallelogram 3. Quadrilateral Parallelogram, Rhombus 4. Parallelogram, Rhombus Rectangle, Square Quadrilateral, Trapezoid Name:_____________________ Date:____________ Block:_____ Directions: Answer the following questions in complete sentences. 1. True or False: The diagonals of a rectangle bisect each other at 900 angles. Draw a picture to justify your answer. False 2. Why are all squares considered rectangles? Rectangles are parallelograms with four right angles. Since every square is a parallelogram with four right angles, every square is a rectangle. 3. Are all parallelograms quadrilaterals? How do you know? Yes. A parallelogram has two pairs of parallel, congruent sides. “Two pairs” means that there are four sides and a quadrilateral is any closed, four sided figure. 4. What is the difference between a rectangle and a rhombus? Both a rectangle and a rhombus are parallelograms, but a rhombus is required to have four congruent sides while a rectangle is required to have four right angles. 5. Are there any rectangles that are also rhombuses? Explain. Yes. Squares are both rectangles and rhombuses because they have four congruent sides and four right angles. 6. What is the difference between a quadrilateral and a rectangle? A quadrilateral is any closed, four sided figure while a rectangle is a type of quadrilateral with two pairs of parallel sides and four right angles. 7. Are there any trapezoids that are also rhombuses? Explain. No. Trapezoids have exactly one pair of parallel sides. Since a rhombus is a type of parallelogram, a rhombus must have two pairs of parallel sides.
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