What defines a line of symmetry in a shape?

A line of symmetry is defined as a line where if a shape is folded along that line, both halves match exactly.

Fill in the blank: A butterfly's wings typically exhibit ___ symmetry.

Bilateral

True or False: A shape can have more than one line of symmetry.

True, shapes like squares and circles have multiple lines of symmetry.

Riddle: I have four equal sides and many ways to fold me, what shape am I?

A square, which has multiple lines of symmetry.

Fill in the blank: When folded, a blue triangle shows that the dotted line is a line of symmetry because the two sides ___ each other.

Cover

What happens if a shape does not match when folded along a line?

If a shape does not match when folded along a line, that line is not a line of symmetry.

Multiple Choice: Which of the following shapes has only one line of symmetry? A) Circle B) Square C) Triangle D) Rectangle

C) Triangle, which typically has one line of symmetry depending on its type.

Riddle: I am everywhere in nature, from flowers to butterflies, yet I can also be found in math. What am I?

Symmetry.

Symmetry in a butterfly means that its left wing is a mirror image of its right wing. This type of symmetry is known as ___.

Reflection symmetry

What is the step-by-step process for creating a symmetrical shape using the ink blot method?

1. Fold a clean sheet of paper in half. 2. Put a few drops of ink or paint on one half. 3. Fold the paper back and press it to spread the ink. 4. Open the paper to reveal the design.

True or False: A rectangle has four lines of symmetry.

False. A rectangle has only two lines of symmetry, one vertical and one horizontal.

What are the two popular techniques for generating shapes that have lines of symmetry?

Ink blots and paper folding and cutting.

Fill in the blank: When a shape has a line of symmetry, one part of the shape is a ___ of the other.

Mirror image

Using the paper folding and cutting technique, what is the first step to create a symmetrical design?

Fold the paper along a straight line.

Riddle: I have only two lines of symmetry, one vertical and one horizontal. What am I?

A rectangle.

What is the significance of a circle having infinite rotational symmetry?

A circle has infinite rotational symmetry because it appears unchanged from any angle of rotation, meaning it can be rotated by any degree and still look the same.

A square exhibits rotational symmetry at ___, ___, ___, and ___ degrees.

90, 180, 270, and 360

True or False: A shape with three radial arms has rotational symmetry at angles other than 360 degrees.

False. A shape with three radial arms only has rotational symmetry at 360 degrees unless the arms are evenly spaced at 120 degrees.

What determines how many angles of symmetry a shape with radial arms has?

The number of radial arms and how evenly spaced they are around the center determines the angles of symmetry.

Riddle: I have no edges and no corners, yet I can be spun without changing shape. What am I?

A circle