2024 Geometry-Similar fig.

Front

What is the definition of similar figures?

Back

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

Front

What does the symbol '~' represent in geometry?

Back

The symbol '~' stands for 'is similar to' in geometry.

Front

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

Back

All corresponding angles in similar triangles are congruent.

Front

What is a scale factor in similar figures?

Back

A scale factor is a number that describes how much one figure is enlarged or reduced to obtain a similar figure. It is the ratio of the lengths of corresponding sides.

Front

If triangle A has sides of lengths 3, 4, and 5, and triangle B has sides of lengths 6, 8, and 10, are they similar?

Back

Yes, triangle A and triangle B are similar because the sides are in proportion (scale factor of 2).

Front

What is the similarity statement for triangles RST and UVW if they are similar with a scale factor of 5/6?

Back

Front

True or False: The lengths of corresponding sides of similar figures are equal.

Back

False. The lengths of corresponding sides of similar figures are proportional, not equal.

Front

How do you find the missing measure in similar figures?

Back

To find the missing measure, set up a proportion using the lengths of corresponding sides and solve for the unknown.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 10 and side DE is 5, what is the scale factor?

Back

Front

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

Back

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