Similar Figures

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does 'corresponding' mean in geometry?

Back

In geometry, 'corresponding' refers to parts of similar figures that match each other, such as angles or sides.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does 'congruent' mean?

Back

Congruent means that two figures have the same shape and size; they can be superimposed on each other.

Tags

CCSS.8.G.A.2

Front

If two triangles are similar, what can we say about their angles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, so (2:3)² = 4:9.

Front

How do you find a missing side in similar figures?

Back

To find a missing side in similar figures, set up a proportion using the lengths of corresponding sides.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 6 cm, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 4:6, which simplifies to 2:3.

Tags

CCSS.HSG.SRT.A.2

Front

What is the scale factor between two similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two similar parallelograms have a scale factor of 5:2, and one side of the smaller parallelogram is 10 in, what is the corresponding side of the larger parallelogram?

Back

The corresponding side of the larger parallelogram is 25 in.

Tags

CCSS.7.G.A.1

Front

What is the relationship between the perimeters of two similar figures?

Back

The ratio of the perimeters of two similar figures is the same as the ratio of their corresponding sides.