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 a reflection in geometry?

Back

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

Front

What is the line of reflection for the transformation y = x?

Back

The line of reflection y = x is a diagonal line where every point (a, b) is reflected to (b, a).

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 new coordinates after a rotation, apply the rotation rules based on the angle and direction of rotation.

Front

What are the new coordinates of point B(2, 3) after a 270-degree clockwise rotation around the origin?

Back

The new coordinates of point B(2, 3) after a 270-degree clockwise rotation are (3, -2).

Front

How do you reflect a point across the line y = x?

Back

To reflect a point (a, b) across the line y = x, swap the coordinates to get (b, a).

Front

What is the result of reflecting point B(2, 3) across the line y = x?

Back

The result of reflecting point B(2, 3) across the line y = x is B'(3, 2).