U5 Study Guide #1

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What happens to the lengths of segments when a shape is translated?

Back

The lengths of segments remain the same when a shape is translated.

Front

What is reflection in geometry?

Back

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

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal.

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

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What is the center of dilation?

Back

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

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 all corresponding sides and angles are equal.

Front

What is the effect of a 180-degree rotation about the origin?

Back

A 180-degree rotation about the origin flips a figure to the opposite side of the origin, changing the signs of the coordinates.

Front

What is the relationship between translation and distance?

Back

Translation does not change the distance between points; it only shifts the position of the figure.