Flashcard: 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 AA criterion for triangle similarity?

Back

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

Front

How do you find the scale factor between two similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of the two triangles.

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 scale factor?

Back

The scale factor is 1:2.

Front

What is the relationship between the lengths of corresponding sides in similar triangles?

Back

The lengths of corresponding sides are proportional.

Front

If two triangles are similar, how do you find an unknown side length?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the formula for finding the distance on a map using a scale?

Back

Distance on map = Actual distance / Scale factor.

Front

If a telephone booth casts a shadow of 4 ft and is 8 ft tall, what is the height of an object that casts a shadow of 2 ft?

Back

The height of the object is 4 ft.

Front

What is the concept of indirect measurement?

Back

Using similar triangles to find the height or length of an object that is difficult to measure directly.

Front

If two triangles have sides of lengths 6 cm and 9 cm, and 4 cm and 6 cm, are they similar?

Back

Yes, because the ratios of the corresponding sides (6/9 = 4/6) are equal.