Similar Triangles

Front

What is the SSS similarity postulate?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity postulate?

Back

If two sides of one triangle are in proportion 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

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

Back

Measure the lengths of the corresponding sides and check if the ratios are equal.

Front

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

Back

Check if two sides are in proportion and the angle between them is equal.

Front

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

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Front

What does it mean if two triangles are 'not similar'?

Back

It means that the triangles do not have the same shape, and their corresponding angles and sides are not proportional.

Front

Example of SSS similarity: Triangle ABC and Triangle DEF have sides AB=4, AC=6, BC=8 and DE=2, DF=3, EF=4. Are they similar?

Back

Yes, because 4/2 = 6/3 = 8/4 = 2.

Front

Example of SAS similarity: Triangle GHI and Triangle JKL have sides GH=5, HI=7, and angle H=angle J. Are they similar?

Back

Yes, if 5/2.5 = 7/3.5, then they are similar by SAS.

Front

Example of AA similarity: Triangle MNO and Triangle PQR have angles M=30°, N=60°, and P=30°, Q=60°. Are they similar?

Back

Yes, because two angles are equal.