Topic 3&4 q. 21

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

Define 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 is the x-axis in a coordinate plane?

Back

The x-axis is the horizontal axis in a coordinate plane, where the y-coordinate is zero.

Front

What is the y-axis in a coordinate plane?

Back

The y-axis is the vertical axis in a coordinate plane, where the x-coordinate is zero.

Front

What does it mean to reflect across the y-axis?

Back

To reflect across the y-axis means to flip a figure over the y-axis, changing the sign of the x-coordinates of the points in the figure.

Front

What does it mean to reflect across the x-axis?

Back

To reflect across the x-axis means to flip a figure over the x-axis, changing the sign of the y-coordinates of the points in the figure.

Front

What is the line y = x?

Back

The line y = x is a diagonal line in the coordinate plane where the y-coordinate is equal to the x-coordinate for all points on the line.

Front

What is the line y = -x?

Back

The line y = -x is a diagonal line in the coordinate plane where the y-coordinate is the negative of the x-coordinate for all points on the line.

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of operations applied to a figure, which can include translations, rotations, reflections, and dilations.

Front

How do you determine if a transformation maps a figure onto itself?

Back

To determine if a transformation maps a figure onto itself, check if the final position of the figure after the transformation is identical to its original position.