2.5 Review

Front

What is the definition of similar shapes?

Back

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

Front

How do you find the value of x in similar triangles?

Back

To find the value of x in similar triangles, set up a proportion using the lengths of corresponding sides and solve for x.

Front

What is a similarity ratio?

Back

A similarity ratio is the ratio of the lengths of corresponding sides of two similar figures.

Front

If two shapes are similar and the ratio of their sides is 2:3, what does this imply about their areas?

Back

The areas of the two shapes will be in the ratio of the squares of the similarity ratio, so the area ratio will be 4:9.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable.

Front

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

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

How can you determine if two shapes are similar?

Back

Two shapes are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is the significance of the similarity ratio in geometry?

Back

The similarity ratio helps in understanding the scale factor between two similar figures, which is crucial for solving problems related to area and volume.

Front

If the similarity ratio of two shapes is 5:1, what is the ratio of their perimeters?

Back

The ratio of their perimeters will also be 5:1.