HGeom - 9.3 Rotation Review & Symmetry

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

Triangle ABC was transformed using the rule (x, y) → (–y, x). Assuming the rotation was counterclockwise. The vertices of the triangles are shown.

A (–1, 1)B (1, 1)C (1, 4) A' (–1, –1)B' (–1, 1)C' (–4, 1)

Which best describes the transformation?

Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What are the coordinates of C' ?

What are the coordinates of a 180 degree counter clockwise rotation of (-4, 1).

Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?

What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ?

A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed 180 degree counterclockwise.

Which statements are true regarding the transformation? Select three options.

Triangle A is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)S (3, 1)T (1, 6) R' (–1, –1)S' (–3, –1)T' (–1, –6)

Which best describes the transformation? 

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

Symmetric?

Symmetric?

Symmetric?

Determine the number of lines of symmetry for the figure.

Determine the angle of rotational symmetry (magnitude) for the figure.

What is the order and angle of rotation (magnitude) of the flag?

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

Is there line symmetry, rotational symmetry, or both?