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 8

Explain why the base angles of an isosceles triangle are equal.

Explain why the sum of the angles in a triangle is always 180°.

Explain why vertical angles are always congruent.

Given triangle ABC, if AB = AC, what type of triangle is it?

Given: In triangle ABC, angle A = 50°, angle B = 60°. Find angle C.

Given: In triangle PQR, PQ = QR and angle Q = 40°. Find angle P and angle R.

Given: In triangle XYZ, XY = XZ. Prove that angle Y = angle Z.

Given: In quadrilateral ABCD, AB = CD and AD = BC. Prove that ABCD is a parallelogram.

Which of the following is a property of a kite? (1) All sides are equal (2) Diagonals are equal (3) One pair of opposite angles are equal (4) All angles are right angles

Which of the following is a property of an equilateral triangle? (1) All sides are equal (2) All angles are equal (3) All angles are 60° (4) All of the above

Which of the following is a valid reason for proving two triangles congruent? (1) SSS (2) AAA (3) SAS (4) SSA

Which of the following is always true for a parallelogram? (1) All sides are equal (2) Opposite sides are equal (3) All angles are right angles (4) Diagonals are equal

Fill in the blank: If two lines are cut by a transversal and the alternate interior angles are equal, then the lines are ______.

Fill in the blank: In a parallelogram, adjacent angles are ______.

Fill in the blank: In a triangle, the side opposite the largest angle is the ______ side.

Fill in the blank: The diagonals of a rhombus are ______ to each other.

True or False: If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

True or False: If two triangles are congruent, their corresponding sides and angles are equal.

True or False: If two triangles are similar, their corresponding angles are equal and their corresponding sides are in proportion.

True or False: The base angles of an isosceles triangle are always equal.