Congruent and Similar Triangles Review

Front

What is the AA similarity theorem?

Back

The AA (Angle-Angle) similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a theorem that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the SSA condition in triangle similarity?

Back

The SSA (Side-Side-Angle) condition does not guarantee triangle similarity, as it can lead to ambiguous cases.

Front

How do you find the height of a tree using similar triangles?

Back

To find the height of a tree, you can use the properties of similar triangles by measuring the shadow of the tree and your own height and shadow, then setting up a proportion.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but may differ in size, while congruent triangles are identical in both shape and size.

Front

What is the SSS similarity theorem?

Back

The SSS (Side-Side-Side) similarity theorem states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the significance of the included angle in SAS?

Back

In the SAS postulate, the included angle is the angle formed between the two sides being compared, which is crucial for establishing triangle congruence.