Transformations Test 8th

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, and Dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What does it mean to reflect a shape?

Back

To reflect a shape means to flip it over a line or axis, creating a mirror image.

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

The rule is (x, y) → (-x, y).

Front

How do you perform a rotation of 90 degrees clockwise around the origin?

Back

The rule is (x, y) → (y, -x).

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

The shape enlarges, becoming larger than the original.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

The shape shrinks, becoming smaller than the original.

Front

If a shape is translated 3 units right and 2 units down, what is the transformation rule?

Back

The rule is (x, y) → (x + 3, y - 2).

Front

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

Back

The rule is (x, y) → (x, -y).