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Which diagram shows correct lines of symmetry? A. OB. OC. O D. O E. 7

Which diagram shows correct lines of symmetry? A. OB. OC. O D. O E. 7

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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--- ### Identifying Lines of Symmetry #### Activity: Determine the Correct Lines of Symmetry In this activity, students are asked to identify which diagram correctly shows the lines of symmetry for a given shape. **Question:** Which diagram shows correct lines of symmetry? - **Option A:** (Selected) Shows a rectangle divided vertically into two equal halves by a dashed line. - **Option B:** Shows a rectangle with two diagonal dashed lines, forming an 'X'. - **Option C:** Shows a rectangle with one diagonal dashed line from the top left to the bottom right corner. - **Option D:** Shows a rectangle divided horizontally into two equal halves by a dashed line. - **Option E:** Shows a rectangle with parallel dashed lines closer to the top and bottom edges. The user has selected **Option A**, which depicts a vertical line dividing the rectangle into two equal parts. **Explanation of Diagrams:** - **Option A:** Correctly identifies a line of symmetry, as the vertical line divides the shape into two mirror-image halves. - **Option B:** Incorrectly assumes diagonal lines as lines of symmetry. Rectangles do not have diagonal symmetry. - **Option C:** Incorrect, as one diagonal line does not symmetrically divide the rectangle. - **Option D:** Also correct, since a horizontal line similarly divides the rectangle into two equal mirror-image halves. - **Option E:** Incorrect, as the lines shown do not divide the shape into equal mirrored sections. **Note:** The correct answers are **Options A and D**, as rectangles have both vertical and horizontal lines of symmetry. **Graphical Details:** - Laser-printed diagrams illustrate the options. - A blue rectangle with dashed lines representing potential lines of symmetry is featured in each option. **Important Information:** - Name: Diana Polanco Asencio (Identifying information partially redacted: ID****51). - Course: Growth: Math 6+ MA 2017. Engage with this activity by selecting what you believe to be the correct lines of symmetry for different shapes to understand symmetry concepts better. --- Remember that practicing with different shapes and identifying their symmetry lines can help solidify understanding of geometrical principles.
Transcribed Image Text:--- ### Identifying Lines of Symmetry #### Activity: Determine the Correct Lines of Symmetry In this activity, students are asked to identify which diagram correctly shows the lines of symmetry for a given shape. **Question:** Which diagram shows correct lines of symmetry? - **Option A:** (Selected) Shows a rectangle divided vertically into two equal halves by a dashed line. - **Option B:** Shows a rectangle with two diagonal dashed lines, forming an 'X'. - **Option C:** Shows a rectangle with one diagonal dashed line from the top left to the bottom right corner. - **Option D:** Shows a rectangle divided horizontally into two equal halves by a dashed line. - **Option E:** Shows a rectangle with parallel dashed lines closer to the top and bottom edges. The user has selected **Option A**, which depicts a vertical line dividing the rectangle into two equal parts. **Explanation of Diagrams:** - **Option A:** Correctly identifies a line of symmetry, as the vertical line divides the shape into two mirror-image halves. - **Option B:** Incorrectly assumes diagonal lines as lines of symmetry. Rectangles do not have diagonal symmetry. - **Option C:** Incorrect, as one diagonal line does not symmetrically divide the rectangle. - **Option D:** Also correct, since a horizontal line similarly divides the rectangle into two equal mirror-image halves. - **Option E:** Incorrect, as the lines shown do not divide the shape into equal mirrored sections. **Note:** The correct answers are **Options A and D**, as rectangles have both vertical and horizontal lines of symmetry. **Graphical Details:** - Laser-printed diagrams illustrate the options. - A blue rectangle with dashed lines representing potential lines of symmetry is featured in each option. **Important Information:** - Name: Diana Polanco Asencio (Identifying information partially redacted: ID****51). - Course: Growth: Math 6+ MA 2017. Engage with this activity by selecting what you believe to be the correct lines of symmetry for different shapes to understand symmetry concepts better. --- Remember that practicing with different shapes and identifying their symmetry lines can help solidify understanding of geometrical principles.
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