Vidyalelo
Aptitude · all questions

Geometry
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

264

Questions

10/14

Page

Pick an option on a question to see the right answer and solution.

ABDC is a parallelogram in which diagonals AD and BC intersect at O. AE and DF are perpendiculars on BC at E and F, respectively. Which of the following is NOT true?

Select an option to see the answer and solution.

In the given figure, chords AD and BC in the circle, are extended to E and F, respectively.
Geometry mcq question image
If ∠CDE = 85°, ∠DCF = 94°, then the value of ∠ABF + ∠EAB is:

Select an option to see the answer and solution.

If one side of a triangle is 7 with its perimeter equal to 18, and area equal to  then the other two sides are:

Select an option to see the answer and solution.

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

Select an option to see the answer and solution.

ABCD is a cyclic quadrilateral Diagonals BD and AC intersect each other at E. If ∠BEC = 128° and ∠ECD = 25°, then, what is the measure of ∠BAC?

Select an option to see the answer and solution.

The perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?

Select an option to see the answer and solution.

ABCDE is a regular pentagon. Its sides are extended as shown in the figure. The value of
Geometry mcq question image

Select an option to see the answer and solution.

Two parallel chords are drawn in a circle of diameter 20 cm. The length of one chord is 16 cm and the distance between the two chords is 12 cm. The length of the other chord is:

Select an option to see the answer and solution.

In a ΔXYZ, XO is the median and XO = YZ. If ∠YXO = 30°, then what is the value of ∠XYZ?

Select an option to see the answer and solution.

ln ΔPQR, O is the incentre and ∠P = 42°. Then what is measure of ∠QOR?

Select an option to see the answer and solution.

ABCD is a square and ΔMAB is an equilateral triangle. MC and MD are joined. What is the degree measure of ∠MDC?
Geometry mcq question image

Select an option to see the answer and solution.

Two chords of length unit and unit of a circle make angles 60° and 90° at the centre of a circle respectively, then the correct relation is:

Select an option to see the answer and solution.

In a triangle ABC, P and Q are point on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm and CQ = 4.5 cm. If the area off ΔAPQ is 12 cm2, then find the area of BPQC.
Geometry mcq question image

Select an option to see the answer and solution.

If in the given figure, ∠ACB + ∠BAC = 80°, ∠BDE = 35°, ∠BCE = 45°, then the marked angle ∠CED is:
Geometry mcq question image

Select an option to see the answer and solution.

ABC is a cyclic triangle and the bisectors of ∠BAC, ∠ABC and ∠BCA meet the circle at P, Q and R respectively. Then the angle ∠RQP is:

Select an option to see the answer and solution.

In the given figure, AB, AC and EF are tangents to a circle. If AC = 15 and DE = 3 cm. Then the length of AE is:
Geometry mcq question image

Select an option to see the answer and solution.

In a ΔABC, ∠BAC = 90° and AD is perpendicular to BC where D is a point on BC. If BD = 4 cm and CD = 5 cm, then the length of AD is equal to:

Select an option to see the answer and solution.

Length of the sides of a triangle are a, b and c respectively. If a2 + b2 + c2 = ab + bc + ca then the triangle is

Select an option to see the answer and solution.

In a trapezium ABCD, DC || AB, AB = 12 cm and DC = 7.2 cm. What is the length of the line segment joining the midpoints of its diagonals?

Select an option to see the answer and solution.

A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:

Select an option to see the answer and solution.