Triangle Similarity Postulate Review

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 is the SAS similarity criterion?

Back

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

Front

What does SSS mean in the context of triangle similarity?

Back

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

Front

What is the HL similarity criterion?

Back

HL stands for Hypotenuse-Leg similarity, which is a criterion used specifically for right triangles. It states that if the hypotenuse and one leg of one right triangle are proportional to the hypotenuse and one leg of another right triangle, the triangles are similar.

Front

Can two triangles be similar if they do not share any angles?

Back

No, two triangles cannot be similar if they do not share any angles. Similar triangles must have at least two corresponding angles that are equal.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

If two triangles have two pairs of equal angles, it can be concluded that the triangles are similar by the AA similarity criterion.

Front

What is the significance of the similarity postulates in geometry?

Back

The similarity postulates help in determining whether two triangles are similar, which is essential for solving problems related to proportions, area, and other geometric properties.

Front

How can you prove that two triangles are not similar?

Back

To prove that two triangles are not similar, you can show that they do not satisfy any of the similarity criteria: AA, SAS, or SSS.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion, meaning the ratios of the lengths of corresponding sides are equal.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.