Triangles Similarity Class 10 ICSE CBSE IMPORTANT QUESTIONS WITH SOLUTIONS

If triangle ABE congruent to triangle ACD, show that ΔADE ~ ΔABC.


Learn Triangles Similarity and entire NCERT Math from class 9th, 10th, 11th and 12th on our website

www.mathsphy.com/

In all these videos on Similarity of Triangles class 10th have always focused on explaining the basics and the solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Triangles Similarity:
In the previous standard (class 9th) we have learned about the Triangle Congruency in detail where two triangles of same shape and size are called congruent triangles. In this chapter of similar triangles we will study about the triangles which are of same shape but not necessarily same size. Two figures having the same shape (not necessarily the same size) are called similar figures. We will use this idea to proove many theorems based on triangles similarity and also give a proof of Pythagoras theorem.

In this Similarity of Triangles chapter from class 10th you will learn about

Similar Figures (Basic)
Similarity of Triangles and theorems (Theorem 6.1)
Criteria of similarity of triangles
SSS Theorem
AAA Theorem
SAS Theorem
We will learn about Area of Similar Triangles
Pythagoras Theorem
Solves Questions (All the exercises)

Triangles Similarity Theorem 1

If a line is drawn parallel to one side of a triangle to intersect the other two sides at two distinct points, the other two sides are divided in the same ratio.

Triangles Similarity Theorem AAA
If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar
Triangles Similarity Theorem (SSS)
If in two triangles, corresponding sides are proportional, then their corresponding angles are equal and hence the two triangles are similar

Triangles Similarity Theorem 4
If one angle of a triangle is equal to the one angle of other triangle and the sides including these angles are proportional then the two triangles are similar

Triangles Similarity Theorem 5 (Area)
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Triangles Similarity Theorem 6 (Area)
If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and each other.

Pythagoras Theorem
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Pythagoras Theorem
In a triangle, if square of one side is equal to the sum of other two sides, then angle opposite the first side is right angle

As per the syllabus, you will learn all the topics in my Triangles Similarity Chapter Videos:

Please use this link for the YouTube playlist of Triangles Similarity Class 10th:

   • Triangles Similarity - Math Class 10 - NCE...…

This link will get you 67 videos


I have done ex Entire Theorems Proof
Ex 6.1, 6.2, 6.3, 6.4, 6.5,



Probability Class 10 NCERT Solutions

   • Probability - Math Class 10 - NCERT Solutions…
   • Probability - Math Class 10 - NCERT Solutions…


Arithmetic Progressions Class 10

   • Arithmetic Progressions - Math Class 10 - ...…

Linear Equations in Two Variables Class 10

   • Linear Equations in Two Variables - Math C...…


Statistics Class 10

   • Statistics - Math Class 10 - NCERT Solutions …


Area related to Circles Class 10

   • Areas Related to Circles - Math Class 10 -...…

Surface Areas and Volumes Class 10

   • Surface Areas and Volumes - Math Class 10 ...…

Real Numbers Class 10
   • Real Numbers - Math Class 10 - NCERT Solut...…

Polynomials Class 10


   • Polynomials - Math Class 10 - NCERT Solutions…


Circle Class 10

   • Tangent to a Circle - Math Class 10 - NCER...…

Applications of Trigonometry Class 10

   • Trigonometry Height and Distance - Math Cl...…


Trigonometry Class 10

   • Introduction to Trigonometry - Math Class ...…

Coordinate Geometry Class 10

   • Coordinate Geometry - Math Class 10 - NCER...…


Triangles Class 10

   • Triangles Similarity - Math Class 10 - NCE...…


Quadratic Equations Class 10

   • Quadratic Equations - Math Class 10 - NCER...…



Find us on youtube
youtube.com/c/Mathsphy

Find us on Facebook:
www.facebook.com/www.mathsphy/
Contact:
Abhishek Agarwaal
+9 7317769273
abhishek@mathsphy.com
abhishekagrawal776@gmail.com #Mathsphy class 10 math practice questions set for exam