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 clockwise direction around a specified point.

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 in the question?

Back

The line of reflection is y = x, which means points are reflected across the line where the x-coordinate and y-coordinate are equal.

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 does a scale factor of 2 mean in dilation?

Back

A scale factor of 2 means that each point of the figure is moved away from the center of dilation by a distance that is twice as far as its original distance.

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 to the original coordinates.

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 around the origin are (y, -x) for the original coordinates (x, y).

Front

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

Back

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

Front

What is the final step in the transformation sequence given in the question?

Back

The final step is to dilate the figure by a scale factor of 2 with the origin as the center of dilation.