Similar Figures Flashcard

Front

What are similar figures?

Back

Similar figures are shapes 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 a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position. For example, in two similar triangles, the side lengths are proportional.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in two similar figures. They are equal in measure.

Front

How do you write a similarity statement?

Back

A similarity statement indicates that two figures are similar. It is written using the symbol '~'. For example, ΔABC ~ ΔDEF means triangle ABC is similar to triangle DEF.

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

If the sides of two triangles are in the ratio 2:3, what can be said about their areas?

Back

The areas of the two triangles are in the ratio of the squares of the sides' ratio. So, if the sides are in the ratio 2:3, the areas are in the ratio 4:9.

Front

What is the formula for finding the height of an object using similar triangles?

Back

The height can be found using the formula: (height of object)/(distance to object) = (height of shadow)/(distance to shadow).

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size. All corresponding sides and angles are equal.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.