# NCERT Class 10 Mathematics Similar Triangles Questions CBSE Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 1.

In , ray AD bisects and intersects BC in D. If and , prove that:

(i)

(ii)

Question 2.

Two poles of heights a and b metres are standing vertically on a level ground r metres a part.

Prove that the height c of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is given by-, i.e..

Question 3.

D and E are points on the sides CA and CB respectively of right — angled at C. Prove that

Question 4.

In a quadrilateral , prove that

Question 5.

ABC is a triangle in which and D is a point on AC such that . Prove that

Question 6.

P and Q are the mid-points on the sides CA and CB respectively of triangle ABC right angled at

C. Prove that

Question 7.

True and False statement

a) All quadrilateral triangles are similar.

b) All circles are similar.

c) All isosceles triangles are similar.

d) All triangles are similar.

Question 8.

In the below figure PA, QB and RC are each perpendicular to AC.

Prove that