7th grade Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same general shape but may differ in size.

Front

What does it mean for sides in similar figures to be proportional?

Back

It means that the lengths of corresponding sides of similar figures have the same ratio.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If two triangles are similar, how do you find the length of a side in one triangle if you know the length of the corresponding side in the other triangle?

Back

Use the ratio of the corresponding sides to set up a proportion and solve for the unknown length.

Front

What is the corresponding side to line segment AC in triangle ABC if triangle XYZ is similar to triangle ABC?

Back

Line segment XZ is the corresponding side to line segment AC.

Front

Are all squares similar to each other?

Back

Yes, all squares are similar because they have the same shape and their corresponding sides are proportional.

Front

What is the term for two figures that are the same shape but not the same size?

Back

The term is 'similar'.

Front

Can two figures be similar if they have different angles?

Back

No, similar figures must have equal corresponding angles.

Front

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

Back

Yes, triangle A and triangle B are similar because their corresponding sides are proportional.