Flashcard No. 6.1 in Geometry

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

Front

What does it mean for two lines to correspond in geometry?

Back

Two lines correspond if they are in the same relative position in similar figures.

Front

What are the criteria for triangle similarity?

Back

Triangles are similar if their corresponding angles are equal or if their sides are in proportion.

Front

What is the significance of angle measures in determining triangle similarity?

Back

If two triangles have two angles that are equal, the triangles are similar by the Angle-Angle (AA) similarity criterion.

Front

How do you determine if two triangles are similar based on their angles?

Back

If all three angles of one triangle are equal to the corresponding angles of another triangle, then the triangles are similar.

Front

What is the relationship between the areas of similar polygons?

Back

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths.

Front

If the area of one polygon is known, how can you find the area of a similar polygon?

Back

To find the area of a similar polygon, use the ratio of the areas and the ratio of the corresponding side lengths.

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 definition of similar polygons?

Back

Similar polygons are polygons that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are in proportion.