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Page 1 of 3 Name Date Classifying Quadrilaterals Module #1: Worksheet 4a: View Tutorial 4a ³Objective: Recognize the characteristics of specific quadrilaterals. Parallel Lines: two or more lines on the same plane m || n (coplanar) that do not intersect. m n n Perpendicular Lines: lines that intersect to form right angles. m⊥n m Polygon: a multi-sided geometric figure, made up of a union of segments that meet only at endpoints such that: 1) at most two segments meet at one point. 2) each segment meets exactly two other segments. Quadrilateral A four-sided polygon Parallelogram Opposite sides parallel Opposite sides are congruent Opposite angles congruent Diagonals bisect each other Rhombus Parallelogram 4 congruent sides Rectangle Parallelogram 4 right angles Trapezoids Exactly one pair of opposite sides parallel Diagonals are perpendicular Diagonals bisect each pair of opposite angles Diagonals are congruent Square Parallelogram 4 right angles 4 congruent sides Copyright 2000. All rights reserved. 61 Page 2 of 3 Module #1: Worksheet 4a: Name Date Classifying Quadrilaterals Choose the polygon, which corresponds to the provided characteristics: (Hint: Use elimination to cross out answers that do not apply. Look at the definitions of the word from the previous page to help eliminate. Be sure to pick the answer that BEST describes the figure) 1. Select the one that does NOT describe this figure correctly. quadrilateral polygon rhombus parallelogram 10 cm 6 cm 6 cm 10 cm 2. Select the one that does NOT describe this figure correctly. quadrilateral parallelogram trapezoid polygon 3. Select the geometric figure that possesses all of the following characteristics: a. Quadrilateral b. Diagonals are equal in length c. Opposite sides are parallel parallelogram trapezoid rectangle rhombus 4. Select the one that does NOT describe this figure correctly. parallelogram quadrilateral rhombus trapezoid Copyright 2000. All rights reserved. 4 cm 4 cm 4 cm 4 cm 62 Page 3 of 3 Module #1: Worksheet 4a: Name Date Classifying Quadrilaterals 5. Select the one that does NOT describe this figure correctly. parallelogram quadrilateral polygon trapezoid 6. Select the TRUE statement below. (Use the flowchart on the previous page to help you select the true statement) Every rhombus is a square. Every rectangle is a rhombus Every rhombus is a parallelogram. Every parallelogram is a rectangle. 7. Select the TRUE statement below. Every rhombus is a rectangle. Every rectangle is a square. Every parallelogram is a rectangle. Every rectangle is a parallelogram. 8. Select the TRUE statement below. Every rhombus is a square. Every rectangle is a square. Copyright 2000. All rights reserved. Every parallelogram is a rhombus. Every square is a rhombus. 63