Topics in MathematicsAngles: Type of angles based on degree measurement Angle Pairs: Types of angle pairs Conversion of Number Bases explained with examples Angles: What are Angles? Categories of Angles Lines and Types in Mathematics Number Base System - Table showing the Number Bases with explanations Mathematics Scheme of Work, SS1, 3rd Term Mathematics Scheme of Work, SS1, 2nd Term Mathematics Scheme of Work, SS1, 1st Term Trigonometry - Sine, Cosine and Tangent explained with worked examples Quadratic Equation - Factorization of Quadratic Equation Algebra - Explanation and Worked Examples on Algebra
Academic Questions in Mathematics
Factorize 12a2 - 20a + 3
A. (6a - 1)(2a - 3)
B. (6a - 1)(2a + 3)
C. (6a + 1)(2a - 3)
D. (6a + 1)(2a + 3)
E. (-6a + 1)(2a - 3)
F. (-6a + 1)(2a + 3)
Simplify 10ab + 7ab
Which of the following is not a type of angle?
A. Right angle
B. Left Angle
C. Acute Angle
D. Complete Angle
E. Straight Angle
F. Reflex angle
Two lines that can never meet each other are best considered as _____ lines.
An angle at exactly 90o is a/an _____ angle.
Slanted or tilted lines that will finally meet at some point but NOT at a right angle are referred to as _____.
The two sides that forms an angle are referred to as the _____.
The point where the two sides of an angle meet is termed the _____.
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Angles, triangles, squares, circles, cubes, cones and cylinders are all part of geometry in mathematics.
Geometry is the branch of mathematics that deals with the study of shapes, sizes and dimensions of a variety of things.
As a mathematics student, understanding angles is very important because it is vital in buildings, constructions and designs.
Sailors use angles to navigate their path along the sea while a carpenter can apply them to make beautiful designs of his job.
Amazingly, sport men and women can utilize angles in making an excellent performance. For instance, the use of angles can be applied when taking free throws in basket ball. Similarly, a footballer may utilize it to curl a free-kick into the football net.
By definition, an angle is a figure formed by two sides sharing a common endpoint.
As an instance to the above definition, an angle is formed where two walls in the corner of our homes meet or at the point where the two arms of a scissors meet.
Note: The two sides that forms the angle are called arms or rays while the endpoint where both sides meet is called the vertex.
The figure below illustrates the arms and vertex of an angle:
Note: The angle formed will depend on the amount of turn between each arm.
Below are some notable points from the above diagram:
Angles can be represented mainly in two ways. These are:
By using the three letters on the shape of the specific angle. Understand that the angle is formed on the middle letter, (vertex).
In tha above diagram, the angle will be represented as ∠ ABC
By giving the angle a name. The names are often denoted with a Greek letter like α (alpha) or θ (theta). Also, we can also name the angle with lowercase letters like 'p or q'.
Still using the above diagram as a basis, the angle will be labeled as ∠α
An angle can be categorized as either interior or exterior based on where they are formed with regards to a shape. They are shown in the image below:
Interior angles are formed inside a shape. In the above diagram, the angle is formed inside a triangle. (A triangle has 3 sides and 3 angles).
Exterior angles are formed outside a shape via a line extending from the adjoining sides.
Please read on the Type of Lines in Mathematics here.
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Alfred Ajibola is a Medical Biochemist, a passionate Academician with over 7 years of experience, a Versatile Writer, a Web Developer, a Cisco Certified Network Associate and a Cisco CyberOps Associate.
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Amazing facts in Mathematics
The opposite sides of a 🎲 dice 🎲 will always give a sum of seven
31,556,926 seconds makes one year
From 0 through 1000, the only number that has the letter 'a' in it is 'one thousand'
The division symbol '÷' is actually called an obelus
Four is the only number in the English language that is spelt with the same number of letters as the number (4) itself
40 is spelt as FORTY and not
FOURTY. It is the only number that is spelt with letters arranged in alphabetical order 🙄
An odd number is a number that cannot be divisible by 2.
Every odd number has an 'e' in its spelling. They include:
555 in Thailand should sound like 'hahaha'. This is because the word '5' means 'ha' in Thailand
10! Actually means 10 factorial in mathematics. Below is its calculation:
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
3628800 seconds is the same as 42 days
42 days is the same as 6 weeks
We can therefore say that 10! equals 6 weeks or 3628800 seconds in mathematics
When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321
NOTABLE POINTS IN Mathematics
The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ
Hypotenuse is always the longest side of the triangle.
Opposite is the side opposite the angle (θ)
Adjacent is the shorter side next to the angle (θ)
Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:
Sin θ = Opposite/Hypotenuse
Cos θ = Adjacent/Hypotenuse
Tan θ = Opposite/Adjacent
Circumference in mathematics means the distance around the edge of a circle (or a another curverd surface).
Perimeter means the distance around a square or rectangle or polygon.
Circumference is to circle or any other curved surface
Perimeter is to square or rectangle or polygon