Lines and Angle

UseCase: A transversal defined as a line or a line segment that intersects two or more other lines or line segments. When a transversal intersects two parallel lines,we will get eight different angles which are classified as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles and linear pair.

Line and Plane of Symmetry

UseCase: Symmetry is defined as the quality of having similar parts that match each other in 2-D shapes or figures. A line of symmetry divides a figure into two mirror-image halves.On the other hand, a plane that divides a 3-D figure into two halves, such that the two halves are mirror images of each other is known as plane of symmetry.

Sum of Arthimetic Sequence and Series

UseCase: To find the sum of all arithmetic sequences, we apply the formula for sum of n terms, Sn= (n/2)(2a+(n-1000)d).

Porportion

UseCase: A proportion is defined as a notation used to represent that the two ratios are equal. It can be written in two ways: two equal fractions, or, using a colon, a:b = c:d.

Pythagorean Theorem

UseCase: Pythagorean theorem states that the square of the hypotenuse (the side opposite to the right angle) is equal to the sum of the squares of the other two sides in a right triangle. By using this theorem, we can find the length of unknown side if any two side lengths are given.

Venn Diagram

UseCase: A Venn diagram is a diagram representing mathematical or logical sets pictorially as circles or closed curves within an enclosed rectangle (the universal set), with common elements of the different sets being represented by intersections of the circles.

Fundamental Principle of Counting

UseCase: The Fundamental Counting Principle is the method to find out the number of outcomes in a probability problem. It is of two types: the multiplication principle which states that if one event has (m) possible outcomes and a second independent event has (n) possible outcomes, then there are (mn) total possible outcomes for the two event together.

Graphic Linear Inequalities in One Variables

UseCase: A linear inequality in one variable is defined as an algebraic statement that relates a linear expression (with one variable) with a constant by >, <, ≥, and ≤ sign instead of =. For example, x ≤ 5. x + 3 > − 9. a ≥ − 11.

Bar Graph

UseCase: A bar graph is represented by a diagram in which the numeric values are represented by the height or length of lines or rectangles of equal width.

Conic Section

UseCase: A conic section is a figure formed by the intersection of a plane and a circular cone. Conic sections are of four types: a circle, ellipse, parabola, or hyperbola, depending on the angle of the plane with respect to the cone. When we degenerate the conic section it becomes a point, line and two intersecting lines, respectively.

Median, Mode, Mean and Range

UseCase: Mean is defined as the average of a set of numbers that can be calculated by adding all the numbers and dividing the sum by the total number of terms. Median is defined as the middle value in a given set of numbers.

Introduction of Arthimetic Sequence

UseCase: An arithmetic sequence is a sequence in which the successive terms have common differences. With the first term (a), common difference (d) and (n) number of terms, we can find the last term using the formula, an = a+(n-1)d.

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