Topic 3&4 q. 24

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specified direction.

Front

What does it mean to rotate a figure 270 degrees clockwise?

Back

Rotating a figure 270 degrees clockwise means turning the figure 270 degrees in the direction of the clock's hands, resulting in a new position.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What does it mean to reflect a figure across the line y = x?

Back

Reflecting a figure across the line y = x means that for every point (x, y) in the figure, the new point will be (y, x).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor and a center of dilation.

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you find the coordinates of a point after a rotation?

Back

To find the coordinates after a rotation, use the rotation formulas based on the angle and the center of rotation.

Front

What are the new coordinates of point B after a 270-degree clockwise rotation around the origin?

Back

The new coordinates of point B after a 270-degree clockwise rotation can be found using the formula: (x', y') = (y, -x).

Front

What is the effect of reflecting a point across the line y = x?

Back

Reflecting a point (x, y) across the line y = x results in the new point (y, x).

Front

What is the result of dilating a point (x, y) by a scale factor of 2?

Back

Dilating a point (x, y) by a scale factor of 2 results in the new point (2x, 2y).