Symmetry
Site: | Saylor Academy |
Course: | GKT101: General Knowledge for Teachers – Math |
Book: | Symmetry |
Printed by: | Guest user |
Date: | Saturday, May 18, 2024, 3:08 AM |
Description
Symmetry is an intuitive concept, but in geometry, it has a formal definition. Watch this lecture series and complete the interactive exercises.
Intro to reflective symmetry
Source: Khan Academy, https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.
Intro to rotational symmetry
Finding a quadrilateral from its symmetries
Finding a quadrilateral from its symmetries (example 2)
Practice
Reflective symmetry of 2D shapes - Questions
1. The following diagram shows a kite.
Symmetry | Applies to the figure? |
Reflective symmetry over | Yes/No |
Reflective symmetry over | Yes/No |
2. Which of the following reflective symmetries apply to the trapezoid below?
Symmetry | Applies to the figure? |
Reflective symmetry over | Yes/No |
Reflective symmetry over | Yes/No |
3. The center of the following rhombus is at the origin.
4. Which of the following reflective symmetries apply to the hexagon below?
Symmetry | Applies to the figure? |
Reflective symmetry over | Yes/No |
Reflective symmetry over | Yes/No |
Reflective symmetry of 2D shapes - Answers
1. The symmetries that apply to the kite are:
Symmetry | Applies to the figure? |
Reflective symmetry over the line | Yes/No |
Reflection symmetry over the line | Yes/No |
2. The symmetries that apply to the trapezoid are:
Symmetry | Applies to the figure? |
Reflective symmetry over | Yes/No |
Reflective symmetry over | Yes/No |
3. The symmetries that apply to the rhombus are:
Symmetry | Applies to the figure? |
Reflective symmetry over the line | Yes/No |
Reflective symmetry over the line | Yes/No |
4. The symmetries that apply to the hexagon are:
Symmetry | Applies to the figure? |
Reflective symmetry over | Yes/No |
Reflective symmetry over | Yes/No |
Rotational symmetry of 2D shapes - Questions
1. Which of the following are magnitudes for rotational symmetry of the quadrilateral below about the marked point?
Choose all answers that apply:
(D) None of the above
2. The center of the regular hexagon below is at the origin.
Rotation | Applies to the figure? |
Rotational symmetry of about the origin | Yes/No |
Rotational symmetry of about the origin | Yes/No |
3. Which of the following are magnitudes for rotational symmetry of the circle below about its center?
4. The center of the rhombus below is at the origin.
Rotational symmetry of 2D shapes - Answers
1. The quadrilateral does not have rotational symmetry.
2. This is the completed table:
Rotation | Applies to the figure? |
Rotational symmetry of about the origin | Yes/No |
Rotational symmetry of about the origin | Yes/No |
3. Of the choices, the circle has rotational symmetry about its center for magnitudes of , , and .
4. This is the completed table:
Rotation | Applies to the figure? |
Rotational symmetry of about the origin | Yes/No |
Rotational symmetry of about the origin | Yes/No |