Homework: Similar Polygons with Dilation

Front

Similar polygons are ______.

Back

the same shape but not necessarily the same size.

Front

What is dilation in relation to polygons?

Back

Dilation is a transformation that alters the size of a polygon while maintaining its shape.

Front

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

Back

Their corresponding angles are equal.

Front

If two polygons are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are in proportion.

Front

What is the scale factor in dilation?

Back

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

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB, BC, and CA are 4, 5, and 6 respectively, what are the lengths of DE, EF, and FD if the scale factor is 2?

Back

DE = 8, EF = 10, FD = 12.

Front

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

Back

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

Front

If the scale factor of dilation is 3, and the length of a side of the original polygon is 5, what is the length of the corresponding side in the dilated polygon?

Back

The length of the corresponding side in the dilated polygon is 15.

Front

State whether the triangles are similar: Triangle 1 has sides 3, 4, 5 and Triangle 2 has sides 6, 8, 10.

Back

Yes, the triangles are similar because the sides are in proportion (1:2).