Geometry CP 4.4-4.5 Check-up

Front

What is a congruence transformation?

Back

A congruence transformation is a geometric transformation that preserves the shape and size of a figure, meaning the original figure and its image are congruent.

Front

What is a reflection in geometry?

Back

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

Front

What is a translation in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a specified angle.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, which can be shown through congruence transformations.

Front

How do you perform a reflection in the x-axis?

Back

To reflect a point (x, y) in the x-axis, the new coordinates become (x, -y).

Front

How do you perform a translation using a vector?

Back

To translate a point (x, y) using a vector , the new coordinates become (x + a, y + b).

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is a number that describes how much a figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you calculate the image of a point after dilation?

Back

To find the image of a point (x, y) after dilation with scale factor k, multiply the coordinates by k: (kx, ky).

Front

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

Back

The new coordinates after a 90-degree counterclockwise rotation are (-y, x).