Similar Figures

Front

What are similar figures?

Back

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

Front

If Triangle ABC is similar to Triangle DEF, what can we say about their angles?

Back

The corresponding angles of Triangle ABC and Triangle DEF are equal.

Front

If two triangles are similar, how do you find the length of a missing side?

Back

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

Front

Triangle ABC is similar to Triangle IJH. If AB = 12 and IJ = 18, what is the ratio of their sides?

Back

The ratio of their sides is 12:18, which simplifies to 2:3.

Front

True or False: Similar figures can have different shapes.

Back

False. Similar figures have the same shape but can be different sizes.

Front

Triangle ABC is similar to Triangle EFD. If AC = 30 and EF = 45, what is the value of X if BC = X and DF = 67.5?

Back

X = 45.

Front

What is the scale factor between two similar triangles?

Back

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

Front

If Triangle ABE is similar to Triangle CDE and AB = 8, CD = 12, what is the ratio of AB to CD?

Back

The ratio of AB to CD is 8:12, which simplifies to 2:3.

Front

Triangle ABC is similar to Triangle NML. If the length of side AB is 20 and the length of side NM is 30, what is the scale factor?

Back

The scale factor is 20:30, which simplifies to 2:3.

Front

If two triangles are similar and one has a side length of 10, what could be a possible side length of the other triangle?

Back

Possible side lengths could be any value that maintains the ratio of the corresponding sides.