MCQEasy1 mark

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcenter of the ΔDEF. Statement 2: The incenter of a triangle is the point where the bisector of the angles intersects.

Topic: Geometrical construction

Previous-year question practice database

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Pick an option and check your answer. The full worked answer is below either way.

Choose an answer

Both the statements are true.Both the statements are false.Statement 1 is true, and Statement 2 is false.Statement 1 is false, and Statement 2 is true.

Answer

Exam answer

(a) Both statements are true.

Explanation

Circumcentre is equidistant from vertices; incentre is intersection of internal angle bisectors.

In words

Both statements are true.

More from Constructions (Circles)

construct an equilateral triangle ABC of side 5 cm.2026 construct the circumcircle of ΔABC.2026 give the geometrical name of quadrilateral ABCD2026 Use ruler and compass for the following construction. Construct a ΔABC, where AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°. Construct a circle circumscribing the ΔABC. Measure and write down the length of the radius of the circle.2025 Using ruler and compass construct a triangle ABC in which AB = 6 cm. ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.2023 Using ruler and compass construct a triangle ABC where AB = 3 cm, BC = 4 cm and ∠ABC = 90°. Hence construct a circle circumscribing triangle ABC. Measure and write down the radius of the circle.2020