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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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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