Geometry - Symmetry Practice

Unit 3, Day 1

Symmetry Practice

Name: _________________________

Date: _________________________

Part 1: Key Vocabulary

1. Line Symmetry: Exists when a figure can be divided by a line into two parts that are mirror images.

2. Point Symmetry: Exists when a figure looks exactly the same after being rotated 180 degrees around a center point.

Part 2: Lines of Symmetry

For each figure below, draw all lines of symmetry. Then, write the total number of lines.

Regular Hexagon

Lines: _______

Kite

Lines: _______

Isosceles Trapezoid

Lines: _______

The Letter W

W

Lines: _______

Heart

Lines: _______

Scalene Triangle

Lines: _______

Part 3: Classifying Symmetry

Determine if each figure has line symmetry, point symmetry, both, or neither. Complete the table.

Figure Line Symmetry? (Yes/No) Point Symmetry? (Yes/No) Classification
Z
T
G

Part 4: Problem Solving

1. Name a capital letter that has horizontal line symmetry but NOT vertical line symmetry.

Answer: ____________

2. A shape has point symmetry. Must it also have line symmetry? Explain and give an example.

3. The time on a digital clock reads 5:02. Does this display have line symmetry? Point symmetry? Neither?

Answer: ____________________

4. Consider the word CHECKBOOK. Does it have line symmetry when written horizontally? Explain why or why not.

5. Draw a logo for a brand called 'OZO' that has both horizontal and vertical line symmetry. Does your logo have point symmetry?