Proving Triangles Similar & Similar Triangles

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, 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~ stand for in triangle similarity?

Back

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

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, 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

What is the criteria for triangles to be considered 'not similar'?

Back

Triangles are considered 'not similar' if none of the similarity criteria (AA~, SSS~, SAS~) are satisfied.

Front

If two triangles have two equal angles, what can be concluded about them?

Back

If two triangles have two equal angles, they are similar by the AA~ criterion.

Front

How can you determine the height of a tree using similar triangles?

Back

You can use the properties of similar triangles to set up a proportion based on the height of the tree and the lengths of the shadows.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

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

Back

If triangle ABC is similar to triangle DEF, then angle A = angle D, angle B = angle E, and angle C = angle F.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Length of shadow of object / Length of shadow of observer) * Height of observer.

Front

Can two triangles be similar if they have one angle equal and the sides are not in proportion?

Back

No, two triangles cannot be similar if the sides are not in proportion, even if one angle is equal.