Geometry 1 - Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in geometry.

Back

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

Front

What is the rule for translating a point (x, y) up 3 and left 6?

Back

(x, y) → (x - 6, y + 3)

Front

What is reflection in geometry?

Back

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

Front

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

Back

(x, y) → (-x, y)

Front

If point (3, 4) is reflected over the x-axis, where is the new point located?

Back

(3, -4)

Front

What is the line of symmetry in a reflection?

Back

The line over which a figure is reflected, creating two mirror images.

Front

Define rotation in geometry.

Back

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

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

(x, y) → (-y, x)

Front

What is dilation in geometry?

Back

A transformation that alters the size of a figure but keeps its shape, using a scale factor.