Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, Dilation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape from one position to another without turning it.

Front

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

Back

To reflect a shape across the x-axis means to flip it over the x-axis, changing the sign of the y-coordinates of the points.

Front

If point A(2, 3) is reflected over the x-axis, what are the coordinates of the image?

Back

A'(2, -3).

Front

What is the result of translating point B(1, 2) 3 units to the left and 4 units up?

Back

B'(-2, 6).

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape.

Front

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

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates will be (y, -x).

Front

What are the coordinates of point C(4, -5) after reflecting over the y-axis?

Back

C'(-4, -5).

Front

If triangle ABC is translated left 2 and up 9, what are the new coordinates of point A(3, 4)?

Back

A'(1, 13).