Similar Triangle

Similar triangles are triangles that have the same shape, but their sizes may vary.

• Maybe not

• Maybe

• It is not true

• of course

Similar triangles are triangles that have the same sizes, but their shapes may vary.

• Maybe not

• Maybe

• It is not true

• of course

correspondence means that a particular part on one polygon relates exactly to a similarly positioned part on another.

• Maybe not

• Maybe

• It is not true

• of course

correspondence means that a particular part on one polygon relates exactly to a oppositely positioned part on another.

• Maybe not

• Maybe

• It is not true

• of course

The comparative sides are proportional to one another; their corresponding angles are identical.

• Maybe not

• Maybe

• It is not true

• of course

This theorem states that if two triangles have proportional sides, they are similar. The only way to construct a triangle with sides proportional to another triangle's sides is to copy the angles.

• AA Theorem

• SSS Theorem

• SAS Theorem

• SAP Theorem

It says that two triangles are similar if they have two pairs of corresponding angles that are congruent. The two triangles could go on to be more than similar; they could be identical. For this theorem, all you have to do is compare two pairs of corresponding angles.

• AA Theorem

• SSS Theorem

• SAS Theorem

• SAP Theorem

This Theorem states if two sides of one triangle are proportional to two corresponding sides of another triangle, and their corresponding included angles are congruent, the two triangles are similar.

• AA Theorem

• SSS Theorem

• SAS Theorem

• SAP Theorem

The last theorem is Side-Side-Side, or SSS. This theorem states that if two triangles have proportional sides, they are similar. The only way to construct a triangle with sides proportional to another triangle's sides is to copy the angles.

• Maybe not

• Maybe

• It is not true

• of course

The Side-Side-Side (SAS) Theorem states if two sides of one triangle are proportional to two corresponding sides of another triangle, and their corresponding included angles are congruent, the two triangles are similar.

• Maybe not

• Maybe

• It is not true

• of course