Topics
Real Numbers
- Concept of Divisibility
- Euclid's Division Lemma
- Euclid’s Division Algorithm
- Application of Euclid Lemma > Finding the HCF of Two Positive Integers
- Application of Euclid Lemma > Finding the HCF of Three Numbers
- Application of Euclid Lemma > On Expressing the HCF of Two Numbers a and b in the Form xa + yb
- Fundamental Theorem of Arithmetic
- Applications of the Fundamental Theorem of Arithmetic
- Rational Numbers
- Irrational Numbers
- Nature of the Decimal Expansions of Rational Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
Quadratic Equations
Geometry
Arithmetic Progressions
Trignometry
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
- Tangent to a Circle
- Number of Tangents from a Point on a Circle
Introduction to Trigonometry
Some Applications of Trigonometry
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
- Corresponding Sides
- Corresponding Angles
CBSE: Class 10
CISCE: Class 10
CISCE: Class 10
Definition: Similar Triangles
Two triangles are similar if
- Their corresponding angles are equal, and
- Their corresponding sides are proportional.
- Symbolically:
ΔABC ∼ ΔPQR (read as “ABC is similar to PQR”).
CBSE: Class 10
CISCE: Class 10
CISCE: Class 10
Definition: Corresponding Sides
In similar triangles, the sides opposite to equal angles are said to be the
corresponding sides.
ΔABC ∼ ΔPQR
\[\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}\]
CBSE: Class 10
CISCE: Class 10
CISCE: Class 10
Definition: Corresponding Angles
In similar triangles, the angles opposite to proportional sides are the corresponding angles, and so, they are equal.
-
∠A = ∠P
-
∠B = ∠Q
-
∠C = ∠R
Video Tutorials
Shaalaa.com | Triangles part 18 (AAA Angle Angle Angle Similarity)
to track your progress
