All Geometry MCQs

If a,b,c are sides of a triangle and a² + b² = c², name the type of the triangle

In a right angled triangle PQR, if hypotenuse PR = 12 and PQ = 6, then what is the measure of ≤P

If in ∆ DEF and ∆ PQR, ≤D = ≤Q, ≤R = ≤E then which of the following statements is FALSE

Distance of point (-3,4) from the origin is

Find the side of a cube of volume 1m³

Tangent segments drawn from an external point to a circle are congruent

∆ ABC and ∆DEF are equilateral triangles, A(∆ABC):A(∆DEF) = 1:2 If AB = 4 then what is the length of DE

Find the perimeter of a square if it's diagonal is 10√2

In ∆ ABC and ∆ DEF, ≤B = ≤E, ≤F = ≤C and AB = 3DE then which of the statements regarding the two triangles is true

Which theorem will be used here

Seg AB is parallel to X-axis and coordinates of point A are (1,3) then co-ordinates of point B can be

Which theorem is this

Find the volume of a cube of side 0.01 cm

How many of the following statement are true

Length of tangent segment drawn from point which is at distance 12.5 cm from the centre of circle is 12 cm find diameter

The value of 2tan 45° - 2sin 30° is

Angle inscribed in a semicircle is a right angle

Medians of a triangle are concurrent

Find the curved surface area of a cone of radius 7cm and height 24 cm

If measure of an arc of a circle is 160° and it's length is 44 cm, find the circumference of the circle

A circle touches all sides of a parallelogram. So the parallelogram must be a

Opposite angles of a cyclic quadrilateral are

SinA cosecA =

Out of the dates given below which date constitutes a Pythagorean triplet

Two circles of radii 5.5 cm and 3.3 cm respectively touch each other. What is the distance between their centres

The curved surface area of a cylinder is 440 cm² and it's radius is 5 cm. Find it's height

Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be

If ∆ ABC ~ ∆ PQR and AB / PQ = 7/5, then

Points A,B,C,D are on circle, such that m(arc AB) = m(arc BC)= 120°. No point except B is common to arcs. What type ∆ABC

Select the figure describing this

If radius of base of a cone is 7cm and height 24 cm, then find the slant height

The slope of Y-axis and of any line parallel to Y-axis is

The coordinates of origin are

The ratio of circumference and area of a circle is 2:7 find is circumference

AP is tangent at A drawn to circle with centre O from an external point P. OP = 12 cm, ≤OPA = 30° then radius of circle

2 circles intersect each other so that each circle passes through centre of other. distance between centres is 12 find r

In a cyclic quadrilateral ABCD, twice the measure of ≤A is thrice the measure of ≤C. Find ≤C

Find the volume of a cube of side 3cm

The number of tangents that can be drawn to a circle at a point on the circle is

Chords AB and CD of a circle intersect inside the circle at point E. If AE = 5.6, EB = 10, CE = 8, find ED

Which theorem is this

A line makes an angle of 30° with the positive direction of X-axis. So the slope of the line is

1 + tan²A =

No circle can pass through 3 collinear points

Which theorem is this

If two circles are touching externally, how many common tangents of them can be drawn

Measure of a circle is

Which theorem will u use to solve this

If all vertices of a square lie on the same circle then the square is called a cyclic quadrilateral

If the points A,B,C are non-collinear points, then how many circles can be drawn which passes through points A,B & C

Out of the following which is a Pythagorean triplet

Altitude on hypotenuse of right angle triangle divides it in 2 parts of lengths 4cm and 9cm. Find the length of altitude

Out of the following point ____ lies to the right of the origin on X-axis

cone was melted, cast into cylinder of same radius as of base of cone. The height of cylinder is 5 cm. Find 'h' of cone

The slope of X-axis and of any line parallel to X-axis is zero

The maximum number of tangents that can be drawn to a circle from a point outside it is

In ∆ ABC, AB = 6√3 cm, AC = 12cm, BC = 6cm. Find the measure of ≤A

The point of concurrence (centroid) divides the median in the ratio

≤ACB is inscribed in arc ACB of a circle with centre O. If ≤ACB = 65°, find m(arc ACB)

In ∆ ABC and ∆ PQR, in a one to one correspondence A-Q, B-R, C-P then

∆ ABC ~ ∆DEF and ≤A = 48°, then ≤D =

Internally touching circles

In the figure, seg XY || seg BC, then which of the following statements is true

A line makes an angle of 60° with the positive direction of X-axis. So the slope of the line is

Identify which of the following are Pythagorean triplets

Cosec45° =

When we see at a higher level, from the horizontal line, angle formed is

Wish Geometry could be this easier

Which theorem is this

∆ ABC ~ ∆PQR and ≤A = 45°, ≤Q = 87° then ≤C =

If ∆ ABC ~ ∆ PQR and 4 A(∆ABC) = 25 A(∆PQR), then AB:PQ = ?

Angles inscribed in the same arc are

What's the measure of the arc AXB

Radius of a sector of a circle is 5cm and there length of arc is 10cm then the area of a sector is

Measure of a semicircle is

Height and base of a right angled triangle are 24cm and 18 cm find the length of is hypotenuse

In a right angle ∆ if sum of the squares of sides making right angle is 169 then what is the length of hypotenuse

≤PRQ is inscribed in arc PRQ of a circle with centre O. If ≤PRQ = 75°, find m(arc PRQ)