Geometric Proofs

Math ⇒ Geometry

Geometric Proofs starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Geometric Proofs. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Given a triangle with sides 7 cm, 24 cm, and 25 cm, prove whether it is a right triangle.

Given that AB is parallel to CD and EF is a transversal, prove that alternate interior angles are equal.

Given that the area of a triangle is 30 cm² and its base is 10 cm, find its height.

Given triangle ABC with AB = AC, and D is the midpoint of BC. Prove that AD bisects angle BAC.

Given two chords AB and CD of a circle intersecting at E inside the circle, prove that AE × EB = CE × ED.

Prove that the angle bisectors of a triangle are concurrent.

Prove that the base angles of an isosceles triangle are equal.

Prove that the diagonals of a rhombus bisect each other at right angles.

Prove that the opposite angles of a parallelogram are equal.

Prove that the sum of the angles in a triangle is 180 degrees.

State and prove the Pythagorean Theorem.

Which theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally?