Ohio State Test Review Geometry

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 of dilation and a scale factor.

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 during a dilation.

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

What is the equation of a circle in standard form?

Back

The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

How do you identify the center and radius from a circle's equation?

Back

From the equation (x - h)² + (y - k)² = r², the center is (h, k) and the radius is √r².

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the Angle-Angle (AA) similarity postulate?

Back

The AA similarity postulate states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.