Translations and Reflections Practice

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

How do you translate a point (x, y) 2 units to the right and 3 units up?

Back

(x, y) --> (x + 2, y + 3)

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 is the effect of reflecting a point across the x-axis?

Back

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

Front

If a triangle is reflected across the y-axis, how do the coordinates of its vertices change?

Back

The x-coordinates of the vertices change sign, while the y-coordinates remain the same.

Front

What is the rule for translating a shape 5 units left and 2 units down?

Back

(x, y) --> (x - 5, y - 2)

Front

What does it mean to reflect a shape across the line y = 1?

Back

Each point of the shape is flipped over the line y = 1, maintaining the same distance from the line.

Front

How do you determine the translation vector from triangle A'B'C' to triangle ABC?

Back

By finding the difference in coordinates between corresponding points of the triangles.

Front

What is the transformation that flips a figure over a line called?

Back

Reflection.

Front

If a shape is translated 3 units left and 1 unit up, what is the translation rule?

Back

(x, y) --> (x - 3, y + 1)