Meaning of similarity

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has 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 9 then the triangles are similar.

True

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

True

To be considered similar, two Polygons must have corresponding angles that are equal.

True

To be considered similar, two Polygons must have corresponding sides that are in proportion.

True

Two figures are similar if their dimensions are proportional.

When the figures are enlarged or shrunk to fit, all dimensions must be changed by the same ratio.

To be considered similar, two Polygons must have corresponding sides that are equal.

False

Postulate 15

If the three angles of one triangles are equal to the three corresponding angles of another triangle, then the triangles are similar. (AAA for similar triangles)

Theorem 5-1:

If two angles of one triangles are equal to two angles of another triangles, then the triangles are similar. (AA for similar triangles)

Similar Polygons

Polygons whose vertices can be matched in 1:1 correspondence so that corresponding angles are equal and corresponding sides and in proportion.

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

Sometimes

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

Trye