Similar Triangles

Front

What is the AA similarity theorem?

Back

The AA (Angle-Angle) similarity theorem states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SAS similarity theorem stand for?

Back

SAS (Side-Angle-Side) similarity theorem states that 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 SSS similarity theorem?

Back

The SSS (Side-Side-Side) similarity theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using the AA, SAS, or SSS similarity theorems.

Front

If triangle ABC is similar to triangle DEF, what can be said about their 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 two triangles have one angle equal and the sides including that angle are in proportion, what theorem applies?

Back

The SAS similarity theorem applies.

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

If triangle XYZ has sides 5 cm, 12 cm, and 13 cm, and triangle PQR is similar to triangle XYZ with the longest side measuring 26 cm, what is the length of the shortest side of triangle PQR?

Back

The shortest side of triangle PQR is 10 cm.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.