Reflections and Translations

Front

What is a reflection in geometry?

Back

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

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 (-x, y).

Front

What is the result of a transformation called?

Back

The result of a transformation is called the 'Image'.

Front

What does a translation do to a figure?

Back

A translation slides a figure from one position to another without changing its shape or orientation.

Front

How do you translate a point (x, y) up by 3 units?

Back

To translate a point (x, y) up by 3 units, add 3 to the y-coordinate: (x, y + 3).

Front

What are the coordinates of point K (2, 3) after reflecting over the y-axis?

Back

The coordinates of point K after reflecting over the y-axis are (-2, 3).

Front

If triangle ABC is translated down 9 and right 4, what are the new coordinates of point A (1, 2)?

Back

The new coordinates of point A would be (1 + 4, 2 - 9) = (5, -7).

Front

What does it mean to reflect a figure over the x-axis?

Back

Reflecting a figure over the x-axis means to change the sign of the y-coordinate of each point: (x, y) becomes (x, -y).

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, while a rotation turns a figure around a fixed point.

Front

If point C (3, 2) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates of point C after reflection over the y-axis are (-3, 2).