Similar Triangles

Front

What is the SSS similarity postulate?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is the SAS similarity postulate?

Back

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 is the AA similarity postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size.

Front

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

Back

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 is the similarity statement?

Back

ΔABC ~ ΔDEF.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to it with a side of 6, what is the length of the corresponding side in triangle DEF?

Back

The corresponding side is 8 (using the ratio 6/3 = 2).

Front

What is the formula for finding the length of a side in similar triangles?

Back

If triangles are similar, then a/b = c/d, where a and b are corresponding sides.

Front

What is the significance of the similarity ratio?

Back

The similarity ratio is the ratio of the lengths of corresponding sides of similar triangles.