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 4, 6, and 8, 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 8, 12, and 16.

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 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 side lengths.

Front

If triangle C has a side length of 10 and triangle D is similar with a scale factor of 0.5, what is the length of the corresponding side in triangle D?

Back

The length of the corresponding side in triangle D is 5.

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

If two triangles are similar and the length of one side of the first triangle is 12 and the corresponding side of the second triangle is 9, what is the scale factor?

Back

The scale factor is 9/12 or 3/4.

Front

What is the importance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are important because they must be equal for the triangles to be considered similar.

Front

If triangle E has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles of a similar triangle will also be 30°, 60°, and 90°.