Triangle Similarity Postulates (1st)

Front

What does SSS stand for in triangle similarity?

Back

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

Front

What does SAS stand for in triangle similarity?

Back

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

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. It is a postulate that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How can you determine if two triangles are similar using the SSS postulate?

Back

To determine if two triangles are similar using the SSS postulate, check if the ratios of the lengths of corresponding sides are equal.

Front

How can you determine if two triangles are similar using the SAS postulate?

Back

To determine if two triangles are similar using the SAS postulate, check if two sides of one triangle are proportional to two sides of another triangle and the angle between those sides is equal.

Front

How can you determine if two triangles are similar using the AA postulate?

Back

To determine if two triangles are similar using the AA postulate, check if two angles of one triangle are equal to two angles of another triangle.

Front

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

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF has sides of lengths 6, 8, and 10, are the triangles similar?

Back

Yes, triangle ABC and triangle DEF are similar by SSS because the sides are in proportion (3:6, 4:8, 5:10).

Front

If triangle ABC has angles of 30°, 60°, and 90°, and triangle DEF has angles of 30°, 60°, and 80°, are the triangles similar?

Back

No, triangle ABC and triangle DEF are not similar because the angles are not all equal.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle in the SAS postulate is significant because it must be equal for the triangles to be considered similar.