Geometry Fall Final Review

Front

What is the Pythagorean Theorem?

Back

Front

Define congruent triangles.

Back

Congruent triangles are triangles that are identical in shape and size. This means that their corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method of proving that two triangles are congruent by showing that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is a dilation in geometry?

Back

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

Front

Explain the concept of translation in geometry.

Back

Translation is a transformation that moves every point of a figure the same distance in the same direction. It can be described using vectors.

Front

What is the difference between SAS and ASA in triangle congruence?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be equal, while ASA (Angle-Side-Angle) requires two angles and the included side to be equal.

Front

How do you identify an angle using angle notation?

Back

Angles can be identified using three points, where the middle point represents the vertex of the angle. For example, angle KJI is identified by points K, J, and I.

Front

What is the formula for finding the area of a triangle?

Back

Front

Define the term 'scale factor' in the context of dilation.

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

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.