Unit 5: Geometry

Side-Angle-Side Similarity Postulate

If two or more triangles have corresponding, congruent angles, and the sides that make up these angles are proportional, then the triangles are similar.

Side-Side-Side Similarity Postulate

If two or more triangles have three corresponding, proportional sides, then the triangles are similar

Triangle Proportionally Theorem

If a line is parallel to one side of a triangle ad also intersects the other two sides, the line divides the sides proportionally

Pieces of Right Triangle Similarity Theorem

If an altitude is drawn from the right angle of a right triangle, the two smaller triangles created are similar to the larger triangle

Converse of the Pythagorean Theorem

If the sum of the squares of the shorter sides is equal to the square of the longest side, then the triangle has a right angle

Converse of Triangle Proportionality

If a line divides any two sides of a triangle proportionally then it must be parallel to the third line.

This is a proof for?

Converse of Triangle Proportionality Theorem

This is a proof for?

Triangle Proportionality Theorem

This is a proof for?

Pythagorean Theorem

This is a proof for?

Converse of Pythagorean Theorem