GEO S1 Spiral Review #7

Front

What is a transformation that carries a regular polygon onto itself?

Back

A rotation of a specific angle, such as 144 degrees counterclockwise.

Front

What is a dilation in geometry?

Back

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

Front

What is the scale factor in a dilation?

Back

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

How do you determine the scale factor of a dilation given points E, A, and C?

Back

The scale factor k can be determined using the ratio EC/EA.

Front

What are alternate interior angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines it intersects, which are congruent when the lines are parallel.

Front

What is the significance of a scale factor of 1/2 in a dilation?

Back

It indicates that the image will be half the size of the original figure.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.

Front

What is the effect of a rotation on a polygon?

Back

It changes the orientation of the polygon but preserves its shape and size.

Front

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

Back

Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

How can you identify a dilation on a graph?

Back

By observing the distance between points relative to the center of dilation and the scale factor.