Scale Factors and triangle congruence

Front

What is the scale factor?

Back

The scale factor is a number that scales, or multiplies, some quantity. It is used to determine the size of a scaled figure compared to the original figure.

Front

If the scale factor is greater than one, the new figure will be:

Back

An enlargement.

Front

If the original length is 12 units and the scale factor is 1/4, what is the size of the scale drawing?

Back

3 units.

Front

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

Back

12 feet.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, having the same side lengths and angles.

Front

What is the SSS congruence theorem?

Back

SSS stands for Side-Side-Side, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the ASA congruence theorem?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged from its actual size.

Front

How do you calculate the actual size from a scale drawing?

Back

Multiply the measurement in the scale drawing by the scale factor.