Category Archives: Geometry

Proof of Sum of the Exterior Angles of a Polygon

After proving that the sum of the interior angles of a polygon is 180(n-2), where n is the number of sides, let us now prove that the sum of the exterior angles is 360 degrees. The exterior angle of a … Continue reading

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The Polygon Angle Sum Proof

The video above shows why the formula for the sum of the interior angles of a polygon with n sides is equal to . The polygon angle sum theorem shows the relationship between the number of sides of a polygon and the sum … Continue reading

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Proof that the Quadrilateral Angle Sum is 360 Degrees

After discussing the triangle angle sum proof, we now discuss the quadrilateral angle sum proof. The proof of this theorem comes from the fact that we can divide a quadrilateral into two triangles by drawing a diagonal. Since each triangle angle sum … Continue reading

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Proof that the Triangle Angle Sum is 180 Degrees

This video discusses the proof that the angle sum of a triangle is 180 degrees. The proof uses two important concepts: the parallel postulate and straight angle.

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Paano i-prove ang Pythagorean Theorem?

This Taglish (mixed Tagalog and English) math tutorial video discusses the proof of the Pythagorean Theorem. The Pythagorean Theorem states the sum of the squares of the length of the shorter side of a right triangle is equal to the … Continue reading

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