Topic 3 Translations, Reflections, Rotations

Front

What is the rule for translating a point 3 units up and 2 units to the right?

Back

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

Front

What series of transformations maps triangle ABC onto triangle DEF?

Back

Reflect over x-axis then translate left 6 units and up 1 unit.

Front

What line would reflect the point (2, -7) to (-7, 2)?

Back

y = x

Front

What is the transformation rule for a 90-degree counter-clockwise rotation?

Back

(x, y) --> (-y, x)

Front

What do we call the new figure created from a transformation?

Back

Image

Front

What is the definition of a translation in geometry?

Back

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

Front

What is the definition of reflection in geometry?

Back

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

Front

What is the definition of rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.

Front

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

Back

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

Front

What is the effect of translating a point (x, y) 4 units left and 3 units down?

Back

(x, y) --> (x - 4, y - 3)