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.
If the diagonals of a quadrilateral bisect each other, what type of quadrilateral is it?
If the measure of one angle of a triangle is 90°, what type of triangle is it?
If the sum of two angles in a triangle is 120°, what is the measure of the third angle?
If two angles of a triangle are 45° and 55°, what is the third angle?
If two lines are perpendicular, what is the measure of the angle between them?
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent by which postulate?
If two triangles have all three sides equal, what can you conclude about the triangles?
State the Angle-Side-Angle (ASA) congruence criterion.
State the definition of a midpoint.
State the Side-Angle-Side (SAS) congruence criterion.
Which congruence criterion is used when two angles and the included side of one triangle are equal to two angles and the included side of another triangle?
Given: In quadrilateral ABCD, AB = CD and AD = BC. Prove that ABCD is a parallelogram.
Given: In triangle DEF, DE = DF and angle E = 70°. Find angle F and angle D, and prove your answer.
