Right Triangle Similarity Theorem

It is a triangle with an angle of 90 degrees.

• Left Triangle

• Right Triangle

• Whole Triangle

• Congruent Triangle

Two triangles are _________ if their six corresponding parts (three sides and three angles) are congruent.

• Congruent

• Similar

• Equal

• Unequal

Two triangles are _________ if and only the corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal. (Orines et.al.)

• Congruent

• Similar

• Equal

• Unequal

Two triangles are _________ if and only the corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal. (Orines et.al.)

• Congruent

• Similar

• Equal

• Unequal

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.

• AA Similarity Theorem

• AAA Similarity Theorem

• SAS Similarity Theorem

• Right Triangle Similarity Theorem

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

• AA Similarity Theorem

• AAA Similarity Theorem

• SAS Similarity Theorem

• Right Triangle Similarity Theorem

Two triangles are similar if two angles of one triangle are congruent to two angles of another triangle.

• AA Similarity Theorem

• AAA Similarity Theorem

• SAS Similarity Theorem

• Right Triangle Similarity Theorem

Two triangles are similar if an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in proportion.

• SSS Similarity Theorem

• AAA Similarity Theorem

• SAS Similarity Theorem

• Right Triangle Similarity Theorem

When the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse.

• True

• False

When the altitude is drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg

• True

• False