9 5 Symmetry I can identify line and

  • Slides: 19
Download presentation
9. 5 : Symmetry • I can identify line and rotational symmetries in two‐dimensional

9. 5 : Symmetry • I can identify line and rotational symmetries in two‐dimensional figures. • I can identify plane and axis symmetries in three‐dimensional figures.

If the images to the right describe symmetry, in your own words, define symmetry:

If the images to the right describe symmetry, in your own words, define symmetry:

Vocabulary! Symmetry a figure has symmetry if a reflection, translation, rotation, or glide reflection

Vocabulary! Symmetry a figure has symmetry if a reflection, translation, rotation, or glide reflection maps a figure onto itself Line Symmetry Line of Symmetry • also called reflection symmetry • the figure can be mapped onto itself by a reflection in the line used to map a figure onto itself

Example 1: State whether the object appears to have line symmetry. Write yes or

Example 1: State whether the object appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry, and state their number.

Vocabulary! Rotational Symmetry Center of Symmetry the center of the figure used as the

Vocabulary! Rotational Symmetry Center of Symmetry the center of the figure used as the fixed point for the rotation

Vocabulary! Order of Symmetry Magnitude of Symmetry

Vocabulary! Order of Symmetry Magnitude of Symmetry

Example 2: State whether the figure has rotational symmetry. Write yes or no. If

Example 2: State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.

You Try! State whether the figure has rotational symmetry. Write yes or no. If

You Try! State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.

You Try! State whether the figure has rotational symmetry. Write yes or no. If

You Try! State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.

Example 3: Determine whether the entire word has line symmetry and whether it has

Example 3: Determine whether the entire word has line symmetry and whether it has rotational symmetry. Identify all lines of symmetry and angles of rotation that map the entire word onto itself.

Three Dimensional Symmetries Plane Symmetry The figure can be mapped onto itself by a

Three Dimensional Symmetries Plane Symmetry The figure can be mapped onto itself by a reflection in the plane Axis Symmetry

Example 4: State whether the figure has plane symmetry, axis symmetry, both, or neither.

Example 4: State whether the figure has plane symmetry, axis symmetry, both, or neither. a) b)

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither. 1.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither. 2.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither. 3.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither. 4.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither. 5.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither.

You Try! State whether the figure has plane symmetry, axis symmetry, both, or neither. 6.

Homework: pg. 666, #9, 10, 12, 17, 19, 20, 27 – 33

Homework: pg. 666, #9, 10, 12, 17, 19, 20, 27 – 33