Olympiad Test: Playing with Constructions - Class 6 MCQ

A ruler (scale) is mainly used to draw straight lines and to measure lengths.

Circles → drawn with compass.

Angles → measured with protractor.

A circle is defined as the set of points at a fixed distance (radius) from a given point called the centre.

It has only one centre and a fixed radius.

A rectangle must satisfy two conditions:

Opposite sides are equal.

Each angle = 90°.

Both conditions make a quadrilateral a rectangle.

A square is a quadrilateral with all sides equal and all angles = 90°.

So it is a special type of rectangle.

In naming quadrilaterals, the order of vertices must follow around the figure (clockwise or counterclockwise).

ABCD → can also be DABC, BCDA, or CDAB.

A compass is used to draw arcs and circles of fixed radius by opening it to the required distance (5 cm here).

By definition, a square has 4 right angles.

Each right angle measures 90°.

In a rectangle:

Diagonals are equal in length.

They bisect each other, but not necessarily at 90° (that happens in a square).

So the correct property = equal in length.

When constructing a square, the first step is to draw one side of the given length (6 cm).

From there, perpendiculars and equal sides are constructed.

To find the midpoint or equidistant point:

Use a compass to draw arcs above and below from both points.

Join the intersections to form the perpendicular bisector.

This bisector gives the equidistant point.