Math Olympiad Test: Introduction to Euclid’s Geometry- 2 - Free MCQ

The first statement is an axiom and does not require proof.

All the other statements i.e. (a) (b) and (c) are Euclid’s postulates except option (d).

The line is formed using 3 non–collinear points.
∴ 3 non-collinear points will form 1 plane.

Through 2 given points, 1 and only one line can be drawn.

If three or more lines pass through the same point then the point is called point of concurrence of the given lines.

Two circles are congruent if they have equal radii.

Two lines can intersect in one and only one point.

A point has no size but we show it by a dot to know where a point is. A point has no length, no width, and has no height. A point only has its position. It means a point has no dimensions or has zero dimensions.

A surface has a curved boundary and a curve contains infinite points.

Let the measure of angle be x°
Then, its complementary angle will be
(90° – x°) = 20°
⇒ x = 70°

Let the measure of angle be x° then, its complementary angle will be 90° – x° supplement = 180°– x°
∴ 5 (90° – x°) = 2 (180° – x°) – 12°
⇒ x = 34°

Boundary of surface is curved and boundary of solid is surface.

No. of lines

No. of lines

Every line segment has one and only one midpoint.