U5 Study Guide #1

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center point and a scale factor.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other through rotations, translations, or reflections.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in a plane about which all points are expanded or contracted.

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

A scale factor less than 1 reduces the size of the figure, making it smaller.

Front

What happens to the coordinates of a point when it is rotated 90 degrees counterclockwise about the origin?

Back

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

Front

What is the result of reflecting a point across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

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

How do you determine if two figures are congruent?

Back

Two figures are congruent if you can match them exactly through rotations, translations, or reflections without resizing.

Front

What is the perimeter of a figure?

Back

The perimeter is the total distance around the outside of a polygon, calculated by adding the lengths of all its sides.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

A scale factor greater than 1 enlarges the figure, making it larger.