MEANING OF SIMILARITY

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other triangle?

10 1/2

If the sides of one triangle are lengths 2, 4 and 6 and another triangle has sides of lengths 3, 6 and_______, then the triangles are similar.

9

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.

AAA Similarity Postulate

Polygons must have which of the following characteristics to be considered similar?

Both polygons are the same shape. Corresponding sides are proportional.

Use complete sentences to describe the similarity between the three triangles shown in the diagram below.

Each of the corresponding angles of one triangle equal the corresponding angles of the other triangle.

To be considered similar, two polygons must have ______ angles that are equal.

corresponding

To be considered similar, two polygons must have corresponding sides that are ______.

in proportion

Triangles similar to the same triangle are ______ to each other.

similar

If a line intersects two sides of a triangle, then it forms a triangle that is similar to the given triangle.

sometimes

To be considered similar, two polygons _____ have corresponding sides that are equal.

sometimes