Transformations and Translations

Front

What is a transformation in geometry?

Back

A transformation in geometry 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

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

A translation is a transformation that slides a figure left, right, up, or down without changing its shape or size.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

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

Front

What does congruent mean in geometry?

Back

Congruent means having the same size and shape; two figures are congruent if they can be made to coincide by a series of transformations.

Front

How does a translation affect the coordinates of a point?

Back

When translating a point, the x-coordinate changes if moving left or right, and the y-coordinate changes if moving up or down.

Front

What is the effect of translating a shape 5 units to the right and 2 units down?

Back

The x-coordinate of each point of the shape increases by 5, and the y-coordinate decreases by 2.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).