1. Imagine that you have a large collection of plastic squares and rectangles in different sizes. You might sort those squares and rectangles in different ways. Which of the three ways of sorting the squares and rectangles shown below fits with the definitions of squares and rectangles? Explain! Sorting Method I Squares Rectangles Sorting Method 2 Squares Rectangles Sorting Method 3 Rectangles Squares 0 The diagram that shows how to sort squares and rectangles according to their definitions is a Venn diagram for the categories of squares and rectangles. 2. Draw a Venn diagram relating the caregories of rhombuses, squares, and rectangles based on the definitions of those shapes. 3. Draw a Venn diagram relating the categories of parallelograms and trapezoids based on the definitions of those shapes. 4. Our definition of a trapezoid is a quadrilateral with at least one pair of parallel sides. Some books define trapezoid as a quadrilateral with exactly one pair of parallel sides. How would the Venn diagram relating parallelograms and trapezoids be different if we used this other definition of trapezoid?
1. Imagine that you have a large collection of plastic squares and rectangles in different sizes. You might sort those squares and rectangles in different ways. Which of the three ways of sorting the squares and rectangles shown below fits with the definitions of squares and rectangles? Explain! Sorting Method I Squares Rectangles Sorting Method 2 Squares Rectangles Sorting Method 3 Rectangles Squares 0 The diagram that shows how to sort squares and rectangles according to their definitions is a Venn diagram for the categories of squares and rectangles. 2. Draw a Venn diagram relating the caregories of rhombuses, squares, and rectangles based on the definitions of those shapes. 3. Draw a Venn diagram relating the categories of parallelograms and trapezoids based on the definitions of those shapes. 4. Our definition of a trapezoid is a quadrilateral with at least one pair of parallel sides. Some books define trapezoid as a quadrilateral with exactly one pair of parallel sides. How would the Venn diagram relating parallelograms and trapezoids be different if we used this other definition of trapezoid?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.5: Convex Polygons
Problem 41E
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