Identifying Lines of Symmetry in Geometric Figures, Study Guides, Projects, Research of Design

Exercises on identifying lines of symmetry in various geometric figures, including shapes with horizontal and vertical lines of symmetry, as well as irregular shapes. Students are asked to trace the figures, draw the lines of symmetry, and determine if certain words have line symmetry when written vertically or horizontally.

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2021/2022

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412-414 Chapter 8 Tools of Geometry
Is the dashed line in each figure a line of symmetry? Explain.
1. 2. 3.
4. 5. 6.
How many lines of symmetry does each figure have? Trace the figure and
draw the lines of symmetry.
7. 8. 9.
Tell whether each design has line symmetry.
10.
11. 12.
13. Which capital letters have at least one line of symmetry?
14. Open-Ended The word CODE has a horizontal
line of symmetry. Find another word that has a
horizontal line of symmetry. Check students’ work.
15. Open-Ended The word MOW has a vertical line
of symmetry, when written vertically. Find another
word that has a vertical line of symmetry when
written vertically.
B
B
Example 2
(page 411)
Example 1
(page 411)
EXERCISES For more practice, see Extra Practice.
Practice by Example
A
A
CODE
O
W
M
Apply Your Skills
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412-414 Chapter 8 Tools of Geometry

Is the dashed line in each figure a line of symmetry? Explain.

1. 2. 3.

How many lines of symmetry does each figure have? Trace the figure and draw the lines of symmetry.

7. 8. 9.

Tell whether each design has line symmetry.

10. 11. 12. 13. Which capital letters have at least one line of symmetry? 14. Open-Ended The word CODE has a horizontal line of symmetry. Find another word that has a horizontal line of symmetry. Check students’ work. 15. Open-Ended The word MOW has a vertical line of symmetry, when written vertically. Find another word that has a vertical line of symmetry when written vertically.

BB

Example 2 (page 411)

Example 1 (page 411)

EXERCISES For more practice, see^ Extra Practice.

AA Practice by Example

CODE

O

W

M

Apply Your Skills

8-8 Line Symmetry 412-

Nature Tell how many lines of symmetry each object has.

  1. a. Trace the figure at the right and draw all lines of symmetry. b. Data File, page 371 Find the value of x. 135
  2. Reasoning How many lines of symmetry does a square have? Draw a diagram to support your answer.
  3. a. Draw a scalene, an equilateral, and an isosceles triangle. Draw all lines of symmetry for each triangle. b. Describe the lines of symmetry in part (a).
  4. a. Flags How many lines of symmetry are in each flag? Consider the design of each flag.

b. Open-Ended Design a flag that has at least one line of symmetry.

Copy each figure on dot paper. Complete the figure so that the dashed line is a line of symmetry.

  1. Stretch Your Thinking A quadrilateral has one obtuse angle, one acute angle, and two consecutive right angles. What kind of quadrilateral is it?

CC

Writing in Math

x ° x °

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