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 11

Given that AB is parallel to CD and EF is a transversal, if angle AEF = 120°, what is the measure of angle EFD?

Given that triangle ABC is isosceles with AB = AC, prove that angle B = angle C.

Given that triangle XYZ is equilateral, prove that all its angles are equal.

Given triangle PQR with PQ = QR and angle Q = 40°, find angle P and angle R.

If the sides of a triangle are 7 cm, 24 cm, and 25 cm, prove that the triangle is right-angled.

Prove that the angle in a semicircle is a right angle.

Prove that the diagonals of a rectangle are equal in length.

Prove that the opposite angles of a cyclic quadrilateral are supplementary.

Prove that the sum of the exterior angles of any polygon is 360 degrees.

State the Side-Angle-Side (SAS) Congruence Theorem.

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

Given a triangle with vertices at A(0,0), B(6,0), and C(0,8), prove that the triangle is right-angled and find the equation of the altitude from C to AB.

Given that triangle ABC is similar to triangle DEF, and AB/DE = 2/3, if BC = 10 cm, what is the length of EF?

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

Prove that the medians of a triangle divide each other in the ratio 2:1 at the centroid.

State and prove the Midpoint Theorem for triangles.