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 does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

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 dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape, defined by a scale factor.

Front

How do you determine the distance between two parallel lines?

Back

The distance between two parallel lines is the perpendicular distance between them, which is constant.

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

The reflection of the point (x, y) over the x-axis results in the point (x, -y).

Front

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

Back

The 90-degree rotation counterclockwise transforms the point (x, y) to (-y, x).

Front

What is the scale factor in a dilation?

Back

The scale factor in a dilation is the ratio of the distance from the center of dilation to a point on the image to the distance from the center to the corresponding point on the original figure.

Front

If a triangle is reflected over two parallel lines, what is the relationship between the original and final positions?

Back

The distance from the original point to the final point after two reflections over parallel lines is twice the distance between the two lines.