10th Triangle (Similarity) : Problems and solution to excel in exam
Similar figures: “Two similar figures have the same shape but not necessarily the same sizes are called similar figures. “ This verifies that congruent figures are similar but the similar figures need not be congruent. Conditions for similarity of polygon: Two polygons of the same number of sides are similar, if (i) Their corresponding angles are equal and (ii) Their corresponding sides are in the same ratio (or proportion). Note: The same ratio of the corresponding sides is referred to as the scale factor (or the Representative Fraction) for the polygons. Equiangular triangles: If corresponding angles of two triangles are equal, then they are known as equiangular triangles. A famous Greek mathematician Thales gave an important truth relating to two equiangular triangles which is as follows: “The ratio of any two corresponding sides in two equiangular triangles is always the same.” Q. The Basic Proportionality Theorem (now known as the Thales Theorem) : “If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. “ [Prove it.] Q. The converse of The Basic Proportionality Theorem: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. [Prove it by contradiction methods] Q. In a triangle ABC, E and F are point on AB and AC and EF  BC. Prove that AB/AE = AC/AF Q. Prove that a line drawn through the midpoint of one side of a triangle parallel to another side bisects the third side. Q. Prove that the line joining the midpoints of any two sides of a triangle is parallel to the third side. Q. In a triangle ABC, E and F are point on AB and AC Such that AE/EB = AF/FC and <AEF =<ACB. Prove that ABC is an isosceles Triangle. Q. In a trapezium ABCD , AB  DC and E and F are points on nonparallel sides AD and BC respectively such that EF is parallel to AB .Show that AE/ ED = BF /FC [join AC to intersect EF at G] Q. In a trapezium ABCD , AB  DC and its diagonals intersect each other at the point O. Show that AO/ BO = CO/DO Q. The diagonals of a quadrilateral ABCD intersect each other at the point O such that AO/ BO = CO/DO . Show that ABCD is a trapezium. For solve and practice worksheet and CBSE Sample paper click on : Download File 10th maths Ch Similar Triangle Guess Paper SA1 Download File
9 Comments
mahi
26/8/2013 02:11:33 pm
excellent idea
Reply
Debabrata
26/8/2013 02:13:31 pm
I hate triangles
Reply
mahi
29/6/2015 01:30:27 pm
So no need to give comment about this its ur feeling
Toshal
20/7/2014 06:25:10 pm
Oh I want some questions on bpt and now I am able to crush all my tution mates planning
Reply
Harini.M
25/7/2014 04:34:47 pm
it's awesome
Reply
Akshat
21/6/2015 03:08:32 pm
VEERYYYYYYYYYY EASY QUESTIONS
Reply
Mm
27/10/2016 05:41:58 am
Reply
vijeeth
31/1/2016 02:47:53 am
increase the dificulty
Reply
sneha
13/9/2016 09:18:24 am
I've already learnt this problems.I want nww problems.
Reply
Leave a Reply. 
Blog Posts Categories
All
Join Us For UpdateAuthorI am a school teacher and serving CBSE students community since 1995. Archives
March 2021
