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 rotation in the context of rigid transformations.

Back

A transformation that turns a figure about a fixed point at a given angle and direction.

Front

What is translation in rigid transformations?

Back

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

Front

What is reflection in rigid transformations?

Back

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

Front

What is dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape, using a scale factor.

Front

If a triangle is translated 3 units right and 2 units up, what are the new coordinates of point (1,1)?

Back

(4,3) - The new coordinates are found by adding 3 to the x-coordinate and 2 to the y-coordinate.

Front

How do you find the coordinates of a point after a translation of (x,y) to (x+a, y+b)?

Back

Add 'a' to the x-coordinate and 'b' to the y-coordinate.

Front

What is the effect of a 90-degree rotation about the origin on the point (x,y)?

Back

The new coordinates will be (-y,x).

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

When a transversal crosses parallel lines, it creates corresponding angles that are equal.

Front

If a quadrilateral is reflected over the x-axis, how do the coordinates change?

Back

The y-coordinates of the points are multiplied by -1, while the x-coordinates remain the same.