PRE-A- FINAL EXAM

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

What does it mean to translate a graph?

Back

To translate a graph means to shift it horizontally and/or vertically without changing its shape or orientation.

Front

What are the effects of translating a graph up or down?

Back

Translating a graph up increases the y-coordinates of all points, while translating it down decreases the y-coordinates.

Front

What are the effects of translating a graph left or right?

Back

Translating a graph left decreases the x-coordinates of all points, while translating it right increases the x-coordinates.

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate to get (x, -y).

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

What is the new position of point J(0, 1) after translating it 5 units left and 2 units up?

Back

The new position is J'(-5, 3).

Front

What is the coordinate of a point after reflecting (3, 5) over the x-axis?

Back

The new coordinates are (3, -5).

Front

What does it mean to reflect a shape?

Back

To reflect a shape means to create a mirror image of it over a specified line, such as the x-axis or y-axis.

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection creates a mirror image of the shape.