Test: Constructions- 2 - CAT MCQ

Two radii of same circle are always :

A quadrilateral can be drawn.If the measures of its

The point in the plane of a triangle which is at equal perpendicular distances from the three sides of the triangle is its

The orthocentere of an obtuse angled triangle lies

On a ray AB with initial point A, Taking A as centre and some radius, draw an arc of a circle, which intersects AB, say at a point D. Taking D as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point E. Draw the ray AC passing through E. Then, the measure of ∠CAB is

If a 60°angle is bisected twice what will be measure of each angle that is constructed ?

In the construction of the perpendicular bisector of a given line segment, as Shown in the figure below ΔPMA ≌ ΔPMB by which congruence criterion?

An external bisector of an angle measuring 70° will divide the angle into two angles measuring

In Δ ABC, which of the following information is needed to construct it if it is known that measure of ∠B = 60 and BC = 6 cm :

Which of these triangles are possible to construct by knowing only its altitude?

With the help of a ruler and a compass it is not possible to construct an angle of :

With the help of a ruler and a compass it is not possible to construct an angle of

It is not possible to construct a triangle whose sides are

With the help of a ruler and a compass, it is possible to construct an angle of

The construction of a triangle ABC with AB = 4 cm and ∠A = 60° is not possible when difference of BC and AC is equal to

The construction of a triangle ABC with AB = 6 cm and ∠A = 60° is not possible when sum of BC and CA is equal to

It is possible to construct a triangle ABC whose sides are

The angles ABC and BDC are right angles. If AD = 8 cm and DC = 32 cm the length of BD is

If D is a mid point of the hypotenuse AC of a right triangle ABC, BD is equal to

In Δ ABC if ∠B = ∠C = 300, which of the following is the longest side?

In a Δ ABC if ∠A = 50° and ∠B = 70° then the shortest and the largest sides of the triangles are

What is the supplementary angle of 108°?