Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does AA similarity criterion stand for?

Back

AA stands for Angle-Angle similarity criterion, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS similarity criterion stand for?

Back

SSS stands for Side-Side-Side similarity criterion, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS similarity criterion stand for?

Back

SAS stands for Side-Angle-Side similarity criterion, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

In similar polygons, what is true about corresponding sides?

Back

Corresponding sides are proportional.

Front

In similar polygons, what is true about corresponding angles?

Back

Corresponding angles are congruent.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to it with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 6, 8, and 10.

Front

How do you determine if two triangles are similar using the SSS criterion?

Back

Check if the ratios of the lengths of corresponding sides are equal.

Front

How do you determine if two triangles are similar using the AA criterion?

Back

Check if two angles of one triangle are equal to two angles of another triangle.