Assignment Help USA

Congruence and geometry of size

Congruence geometry: If two objects are of same exact shape and same exact size, then they are called congruent objects. The congruent objects are more like duplicates of each other and fit perfectly when placed on top of each other.

In geometry, congruency is an important property and whenever two geometric shapes have same shape and length, then the angles of one shape are also equal to the other.

Example:

geometry structure Congruence and geometry        Congruence and geometry

The symbol used to denote congruency is, ‘≡’ which means that the structures are of same shape and equal size.

Congruency in triangles:

Congruence geometry

Theorems:

SSS: 3 sides of one triangle=3 sides of the other

2) SAS :2 sides and included angle of one triangle=2 sides and included angle of other.

3)ASA :2 angles and included side one triangle= 2 angles and included side of other.

4) AAS :2angles and non-included side=2angles and non-included side of other

Example: If ∆ ABC≡∆DEF and BC=10 units, then EF=? EF=10 (since BC=EF )

HAVE A QUESTION? CHAT WITH OUR TUTORING EXPERTS NOW ! Click Now

You can also Read our other blog Angle Definition And Properties (Trigonometry)

Angle definition and properties (Trigonometry)

Trigonometry

Angle Definition : Angle is the measure of rotation formed between two rays. In trigonometry, angles play a huge role in determining the appropriate trigonometric function values. One complete rotation gives an angle of 360°. Depending on the direction of rotation, angles can be positive or negative!

Angle definition Angle definition

        

       

 

Units of Angle: Angle is either measured in degrees or in radians.

Radian: It is the standard unit to measure an angle and is numerically equal to the length of its respective arc of a unit circle.

Conversion of degree to radian: There is a simple relationship between degrees and radians.

                                                           Π radians = 180°

So 1radian=180°/Π (OR) 1degree=π/180°

Example: Convert 120° to radian.

120°* (π /180°) = 2π/3 radian

Example: Convert π/6 radian to degrees.

HAVE A QUESTION? CHAT WITH OUR TUTORING EXPERTS NOW ! Click Now

You can also Read our other blog Intro To Inverse Trigonometric Functions
Scroll To Top