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 the lengths of their corresponding sides are proportional.

Front

What is the criteria for triangles to be similar?

Back

Triangles are similar if: 1) All pairs of corresponding angles are congruent, or 2) The ratios of the lengths of corresponding sides are equal.

Front

What are corresponding sides in similar triangles?

Back

Corresponding sides are the sides of two triangles that are in the same relative position.

Front

If Triangle A is similar to Triangle B, and the length of a side in Triangle A is 4 cm, what is the length of the corresponding side in Triangle B if the ratio of similarity is 2:1?

Back

The length of the corresponding side in Triangle B is 2 cm.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If Triangle ABC is similar to Triangle DEF, and angle A = 30°, what is the measure of angle D?

Back

Angle D = 30°.

Front

How do you find the missing side in similar triangles?

Back

Use the proportion of the lengths of corresponding sides to set up a ratio and solve for the missing side.

Front

What is the significance of the AA criterion in triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

If Triangle GHI is similar to Triangle JKL, and the lengths of sides GH and JK are 6 cm and 3 cm respectively, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 2:1.

Front

What does it mean if two triangles are not similar?

Back

It means that either their corresponding angles are not equal or the ratios of their corresponding sides are not equal.