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Symmetry

Hanna Doraisingh, Sep 27, 2022

Exploring Reflection & Rotational Symmetry

Reflection Symmetry
1. Lines of Symmetry - Square
2. Lines of Symmetry - Rectangle
3. Lines of Symmetry - Parallelogram
4. Lines of Symmetry - Rhombus
5. Isosceles and Equilateral Triangles - Lines of Symmetry
6. Reflection Symmetry Shortcut
Rotational Symmetry
1. Rotational Symmetry of Regular Polygons

Reflection Symmetry

1. Lines of Symmetry - Square
2. Lines of Symmetry - Rectangle
3. Lines of Symmetry - Parallelogram
4. Lines of Symmetry - Rhombus
5. Isosceles and Equilateral Triangles - Lines of Symmetry
6. Reflection Symmetry Shortcut

Lines of Symmetry - Square

How many [b]lines of symmetry[/b] does a [b]square[/b] have?

2 3 4 1

– Hanna Doraisingh, Joy

Rotational Symmetry

1. Rotational Symmetry of Regular Polygons

Rotational Symmetry of Regular Polygons

Remember: Regular Polygons are polygons with EQUAL SIDES AND ANGLES.

Equilateral Triangle

Number of Rotational Symmetries

Does the [b]EQUILATERAL TRIANGLE[/b] rotate onto itself when rotated at 90°?

Yes No

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for an [b]EQUILATERAL TRIANGLE. (Angles at which it lines up with the original triangle)[/b]

90[math]^\circ[/math], 180[math]^\circ[/math], 270[math]^\circ[/math], 360[math]^\circ[/math][br] 60[math]^\circ[/math], 120[math]^\circ[/math], 180[math]^\circ[/math] 120[math]^\circ[/math], 240[math]^\circ[/math][br] None of these answers

Square

Number of Rotational Symmetries

Does the [b]SQUARE[/b] have 90° rotational symmetry?

Yes No

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a [b]SQUARE. [b](Angles at which it lines up with the original square)[/b][/b]

120[math]^\circ[/math], 240[math]^\circ[/math], 360[math]^\circ[/math][br] 60[math]^\circ[/math], 120[math]^\circ[/math], 180[math]^\circ[/math], 360[math]^\circ[/math] 90[math]^\circ[/math], 180[math]^\circ[/math], 270[math]^\circ[/math] None of these answers

Number of Rotational Symmetries

Does a [b]REGULAR PENTAGON[/b] have 90° rotational symmetry?

No Yes

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a [b]REGULAR PENTAGON. [b](Angles at which it lines up with the original pentagon)[/b][/b]

72[math]^\circ[/math], 180[math]^\circ[/math], 270[math]^\circ[/math][br] 60[math]^\circ[/math], 120[math]^\circ[/math], 180[math]^\circ[/math] 72[math]^\circ[/math], 144[math]^\circ[/math], 216[math]^\circ[/math], 288[math]^\circ[/math] 50[math]^\circ[/math], 100[math]^\circ[/math], 200[math]^\circ[/math], 250[math]^\circ[/math]

Number of Rotational Symmetries

Does a [b]REGULAR Hexagon [/b]have 90° rotational symmetry?

No Yes

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a [b]REGULAR Hexagon. [b](Angles at which it lines up with the original pentagon)[/b][/b]

80[math]^\circ[/math], 180[math]^\circ[/math], 240[math]^\circ[/math][br] 60[math]^\circ[/math], 120[math]^\circ[/math], 180[math]^\circ[/math] 72[math]^\circ[/math], 140[math]^\circ[/math], 216[math]^\circ[/math], 288[math]^\circ[/math] 60[math]^{\circ}[/math],120[math]^{\circ}\circ[/math], 180[math]^\circ[/math], 240[math]^\circ[/math], 300[math]^\circ[/math]

Number of Rotational Symmetries

Does a [b]REGULAR OCTAGON[/b] have 90° rotational symmetry?

No Yes

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a[b] Regular Octagon.[/b]

45[math]^\circ[/math], 90 [math]^{\circ}[/math], 135[math]^\circ[/math], 180[math]^\circ[/math], 225[math]^\circ[/math], 270[math]^\circ[/math], 315[math]^\circ[/math] 60[math]^\circ[/math], 120[math]^\circ[/math], 180[math]^\circ[/math] 120[math]^\circ[/math], 240[math]^\circ[/math][br] [math]80^{\circ},140^{\circ},180^{\circ},240^{\circ},280^{\circ}[/math]

Possible Shortcut

Chris thinks he found a trick where if you divide 360 degrees (a full rotation) by the number of sides a [b]regular polygon[/b] has, you'll get the angle of rotation. [br][i]If so, find an example where this is true. [br]If not, find an example where this trick doesn't work.[/i]

– Duane Runyan, Hanna Doraisingh, Ms. Sherman, Kendra Garmon

Information

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Symmetry

Table of Contents

1.

Reflection Symmetry

1.1.

Lines of Symmetry - Square

1.2.

1.3.

1.4.

1.5.

1.6.

2.

Rotational Symmetry

2.1.

Rotational Symmetry of Regular Polygons

Remember: Regular Polygons are polygons with EQUAL SIDES AND ANGLES.

Equilateral Triangle

Number of Rotational Symmetries

List Rotational Symmetries

Square

Number of Rotational Symmetries

List Rotational Symmetries

Number of Rotational Symmetries

List Rotational Symmetries

Number of Rotational Symmetries

List Rotational Symmetries

Number of Rotational Symmetries

List Rotational Symmetries

Possible Shortcut

Information