Find the coordinates of A(3, 2) reflected across the x-axis.

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Presentation transcript:

Find the coordinates of A(3, 2) reflected across the x-axis. Warm-up Find the coordinates of A(3, 2) reflected across the x-axis. Find the coordinates of B (-2, 4) reflected across the y-axis. Find the measure of a counterclockwise rotation that would equal each rotation. Think! 180 clockwise rotation 90 clockwise rotation

Center of Rotation Angle of Rotation Rotational Symmetry Rotations Center of Rotation Angle of Rotation Rotational Symmetry

ROTATIONAL SYMMETRY – Any figure that can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position.

Ambigrams

Rotational Symmetry in the parking lot

Which figures have rotational symmetry Which figures have rotational symmetry? For those that do, describe the rotation that map the figure onto itself. Regular pentagon Rhombus Isosceles triangle NO NO

Rotation is simply turning about a fixed point. Rotate 90 counterclockwise about the origin Rotate 180 about the origin Rotate 90clockwise about the origin

CLOCKWISE is like a right turn.

Both hands in the air on the wheel. Left hand is x Right hand is y

Which hand is at 12 o’clock first? Make a clockwise turn. Which hand is at 12 o’clock first? X

Rotate 90 degrees clockwise about the origin. Change the sign of x & switch the order of x and y. Same as 270 counterclockwise

Example: Rotate 90 degrees clockwise about the origin.

Rotate 90° clockwise about the origin

COUNTERCLOCKWISE is like a left turn.

Both hands in the air on the wheel. Left hand is x Right hand is y

Make a counterclockwise turn. Which hand is at 12 o’clock first? Y

Rotate 90 degrees counterclockwise about the origin. Change the sign of y & Switch the order of x and y Same as 270 clockwise

Example: Rotate 90 degrees counterclockwise about the origin.

Rotate 90° counterclockwise about the origin

Rotating 180 degrees changes the sign of the x and the sign of the y.

change the sign of both x & y. Rotate 180 degrees about the origin. Keep the order & change the sign of both x & y.

Example: Rotate 180 degrees about the origin.

Rotate 180° about the origin