Reflections and Translations

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation in terms of coordinates?

Back

A translation can be described by how much the x and y coordinates change, such as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

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

Back

Reflecting a shape across the y-axis means that for every point (x, y) on the shape, the reflected point will be (-x, y).

Front

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

Back

Reflecting a shape across the x-axis means that for every point (x, y) on the shape, the reflected point will be (x, -y).

Front

If a triangle is translated 5 units right and 3 units up, what is the new position of the point (2, 3)?

Back

The new position will be (2 + 5, 3 + 3) = (7, 6).

Front

What is the effect of reflecting a point in the x-axis?

Back

The effect is that the y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is the effect of reflecting a point in the y-axis?

Back

The effect is that the x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

How can you identify a translation on a grid?

Back

A translation can be identified by observing that the shape has moved without changing its size, shape, or orientation.

Front

What are the coordinates of a point (3, 4) after reflecting it across the y-axis?

Back

The coordinates will be (-3, 4).

Front

What are the coordinates of a point (-5, 2) after reflecting it across the x-axis?

Back

The coordinates will be (-5, -2).