Solving similar triangles

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 the lengths of their corresponding sides are proportional.

Front

What is the Scale Factor in similar triangles?

Back

The Scale Factor is the number you multiply by the sides of one triangle to obtain the corresponding sides of a similar triangle.

Front

If triangle A has sides of 3, 4, and 5, and triangle B is similar to triangle A with a scale factor of 2, what are the lengths of the sides of triangle B?

Back

The sides of triangle B are 6, 8, and 10.

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

If two triangles are similar and the length of one side of the first triangle is 5 and the corresponding side of the second triangle is 15, what is the scale factor?

Back

The scale factor is 3.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

What is the formula for finding the area of similar triangles?

Back

If the scale factor is k, the ratio of the areas of two similar triangles is k².

Front

If triangle C has an area of 20 square units and is similar to triangle D with a scale factor of 3, what is the area of triangle D?

Back

The area of triangle D is 180 square units.

Front

What is the importance of the AA criterion in determining similarity of triangles?

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 E has sides of 6, 8, and 10, and triangle F is similar to triangle E with a scale factor of 0.5, what are the lengths of the sides of triangle F?

Back

The sides of triangle F are 3, 4, and 5.