Geometry Chapter 3

AA ~

If two angles of one triangle are congruent to the two corresponding angles of another triangle, then the triangles are similar.

congruent

Two shapes where there is a sequence of rigid transformations that carries one onto the other.

proportional equation

An equation stating that two ratios are equal.

SAS ~

If two triangles have two pairs of corresponding sides that are proportional and have congruent included angles, then the triangles are similar.

similarity statement

A statement that indicates that two figures are similar. The order of the letters in the names of the shapes determine which sides and angles correspond to each other.

translation

A transformation that preserves the size, shape, and orientation of a figure while sliding (moving) it to a new location.

ratio

A comparison of two quantities by division. A ratio can be written using a colon, but is more often written as a fraction.

flowchart

A diagram showing an argument for a conclusion from certain evidence, using ovals connected by arrows to show the logical structure of the argument.

angle

A figure that is formed by two rays joined at a common endpoint.

conditional statement

A statement written in "If ..., then ..." form.

dilation

A transformation which produces a figure similar to the original by proportionally shrinking or stretching the figure.

hypotenuse

The longest side of a right triangle (the side opposite the right angle).

perimeter

The distance around the exterior of a figure on a flat surface.

similar figures

If there is a sequence of rigid motions, followed by a dilation, that carries one onto the other. The corresponding angles of similar polygons are congruent, and the corresponding sides are proportional.

SSS ~

If two triangles have all three pairs of corresponding sides that are proportional (this means that the ratios of corresponding sides are equal), then the triangles are similar.

zoom factor

The amount each side of a figure is multiplied by when the figure is proportionally enlarged or reduced in size.

vertex

A point where two or more line segments or rays meet to form a "corner," such as in a polygon or angle.