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.

Explain why the diagonals of a square are equal and bisect each other at right angles.

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?

Given: In △JKL, ∠J = 90°, JK = 9 cm, KL = 12 cm. Find the length of JL.

Given: In △MNO, ∠M = 30°, ∠N = 60°. Find ∠O.

Given: In △PQR, PQ = QR and ∠P = 40°. What is the measure of ∠R?

Given: In △XYZ, XY = 5 cm, YZ = 7 cm, and XZ = 5 cm. What type of triangle is △XYZ?

State the definition of similar triangles.

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

State the SSS Similarity Criterion for triangles.