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.
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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.
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.
Which of the following is a necessary condition for two triangles to be congruent by the ASA criterion?
(1) Two sides and the included angle are equal
(2) Two angles and the included side are equal
(3) Three sides are equal
(4) Two angles and a non-included side are equal
Which of the following is NOT a property of a parallelogram?
(1) Opposite sides are parallel
(2) Opposite angles are equal
(3) Diagonals bisect each other
(4) All angles are right angles
Which of the following is NOT a property of a rhombus?
(1) All sides are equal
(2) Diagonals bisect each other at right angles
(3) Opposite angles are equal
(4) All angles are right angles
Which of the following is NOT a valid method for proving two triangles are congruent?
(1) SSS
(2) SAS
(3) SSA
(4) ASA
Fill in the blank: The ________ of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
Fill in the blank: The perpendicular bisector of a chord passes through the ________ of the circle.
Fill in the blank: The point where the three altitudes of a triangle meet is called the ________.
Fill in the blank: The sum of the interior angles of a pentagon is ________ degrees.
True or False: The base angles of an isosceles triangle are always congruent.
True or False: The diagonals of a kite are always equal.
True or False: The diagonals of a rhombus are always perpendicular to each other.
True or False: The sum of the exterior angles of a regular hexagon is 360 degrees.
