Reflections and Translations

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 describe the movement in a translation?

Back

The movement in a translation is described by the number of units moved horizontally and vertically.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped to create a mirror image.

Front

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

Back

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

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

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

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 is (7, 6).

Front

What is the result of reflecting the point (4, -5) across the x-axis?

Back

The result is (4, 5).

Front

What is the result of reflecting the point (-3, 2) across the y-axis?

Back

The result is (3, 2).

Front

If triangle ABC is reflected across the line y = 1, how do the coordinates of point A change?

Back

The y-coordinate of point A is adjusted based on its distance from the line y = 1.

Front

What is the effect of a translation on the shape of a figure?

Back

A translation does not change the shape or size of a figure; it only changes its position.