Unit 3 - Rigid Motions - Symmetry

Question 1

How can a figure be symmetrical? (3)

Answer 1

1. If a figure reflects, rotate, translates, etc
2. And maps onto itself
3. It’s symmetrical

Question 2

How can you find out if a figure is symmetrical? (2)

Answer 2

1. Draw a line of reflection
2. Draw a Perp. Bis. of a point & through LOR

Question 3

Definition of Line Symmetry (2)

Answer 3

1. If a figure undergoes a reflection
2. Maps onto itself

Question 4

Definition of Rotational Symmetry (4)

Answer 4

1. If a figure undergoes a rotation
2. 0 degrees < Rotation < 360 degrees
3. Maps Onto Itself
4. It has Rotational Symmetry

Question 5

Definition of Order of Symmetry (2)

Answer 5

1. Num. of times figure maps onto itself
2. During a rotation of 360 degrees

Question 6

Definition of Magnitude of Symmetry

Answer 6

1. Num. of degrees figure has to be rotated
2. To maps onto itself

Question 7

How many times does a figure have to map itself in order to be considered to have Order of Symmetry?

Answer 7

2 or more

Question 8

How do you find magnitude if you know order?

Answer 8

360/Order

Question 9

How do you find order if you know magnitude?

Answer 9

360/Magnitude

Question 11

How do you draw a line of symmetry based on a point?

Answer 11

Draw a line through the point and the midpoint of the line opposite to it.