Similar Triangles

Front

What are similar triangles?

Back

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

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

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

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

How do you find the height of a tree using similar triangles?

Back

By creating a proportion between the height of the tree and the length of its shadow compared to a smaller object with a known height and shadow length.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, which is (4/8)² = 1/4.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles have sides in the ratio 3:5, what can be said about their similarity?

Back

The triangles are similar if their corresponding angles are also equal.

Front

How can you use similar triangles to solve for an unknown side length?

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.