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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 9
Describe the steps to prove that two lines are parallel using corresponding angles.
Describe the steps to prove that two triangles are congruent using the ASA criterion.
Explain why the base angles of an isosceles triangle are equal.
Explain why the diagonals of a rhombus are perpendicular.
Given: In △ABC, ∠A = 60°, ∠B = 80°. Find ∠C.
Given: In △ABC, AB = AC and ∠B = 50°. Find ∠C.
Given: In △DEF, ∠D = 90°, DE = 6 cm, DF = 8 cm. What is the length of EF?
Given: In △GHI, GH = HI = IG. What type of triangle is △GHI?
Which of the following is a correct statement about the angles of a triangle? (1) They always add up to 180°. (2) They always add up to 360°. (3) They can be any value. (4) They are always equal.
Which of the following is a property of a rectangle? (1) All sides are equal. (2) All angles are right angles. (3) Diagonals are perpendicular. (4) Opposite sides are not equal.
Which of the following is a valid reason for proving two triangles congruent? (1) ASA (2) SSA (3) SSS (4) AAA
Which of the following is a valid reason for proving two triangles congruent? (1) SSS (2) AAA (3) SAS (4) SSA
Fill in the blank: If two angles of a triangle are 70° and 60°, the third angle is ______ degrees.
Fill in the blank: If two lines are cut by a transversal and alternate interior angles are equal, the lines are ______.
Fill in the blank: If two triangles are congruent, their corresponding ______ are equal.
Fill in the blank: The diagonals of a parallelogram ______ 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 similar, their corresponding sides are in the same ratio.
True or False: If two triangles have all corresponding sides equal, they are congruent.
True or False: The diagonals of a parallelogram are always equal.