Similar Figures: Finding Missing Sides and Angles

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity where two sides of one triangle are proportional to two sides of another triangle, and the included angles are equal.

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

Front

What is the SSS similarity criterion?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity where all three sides of one triangle are proportional to the three sides of another triangle.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle PQR is similar to triangle XYZ, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

How do you find a missing side in similar triangles?

Back

To find a missing side, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

What is the formula to find the missing angle in similar triangles?

Back

The sum of the angles in a triangle is always 180 degrees. Use this to find the missing angle if two angles are known.

Front

If triangle ABC has angles of 40° and 60°, what is the measure of the third angle?

Back

The third angle is 80° because 180° - (40° + 60°) = 80°.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If triangle DEF is similar to triangle GHI and the length of DE is 4 cm and GH is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.