Translations and Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you translate a point (x, y) by (a, b)?

Back

You add a to x and b to y, resulting in the new point (x + a, y + b).

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning they can be made to coincide by rigid transformations.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection for a point (x, y) over the y-axis?

Back

The line of reflection is the y-axis, and the reflected point will be (-x, y).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign, resulting in the new point (x, -y).

Front

What is the effect of translating a shape 2 units to the right and 3 units down?

Back

The new coordinates of a point (x, y) will be (x + 2, y - 3).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips it over a line.

Front

What is the result of reflecting the point Y(-5, -7) over the y-axis?

Back

The reflected point is (5, -7).

Front

What does the term 'preimage' refer to in transformations?

Back

The preimage is the original figure before any transformation is applied.