Compound SentencesA compound sentence is formed when two or more thoughts are connected in one sentence.The following are examples of compound sentences: “21 is divisible by 3 and 21 is not prime.” “45 is a multiple of 9 or 13 – 20 = 7.” “If 4 + 6 = 10 a…

Interior Angles of a TriangleTheorem: The sum of the measures of the interior angles of any triangle is 180°.In ∆MNP given below, m∠M + m∠N + m∠P = 180°. Remember that this theorem works for ANY type of triangle. The sum of the angles in ANY type of tr…

Intuitive Notion of Line Symmetry and Plane SymmetryLine symmetryLine symmetry, or just symmetry, occurs when two halves of a figure mirror each other across a line. The line of symmetry is the line that divides the figure into two mirror images. A simpl…

Truth Value of Open SentencesSometimes it is difficult to determine the truth value of a sentence. Even though the sentence conveys a complete thought, the sentence may be true for some people and false for others.For example: “Broccoli tastes awful.”“Th…

Construct a Line Segment and an AngleA reference line is a line upon which you produce copies of existing figures.Construct a line segmentGiven: (Line segment) \(\overline { AB }\) Task: To construct a line segment congruent to (line segment) \(\overlin…

Biconditional IF AND ONLY IFIn logic, a biconditional is a compound statement formed by combining two conditionals under “and.” Biconditionals are true when both statements (facts) have the exact same truth value.A biconditional is read as “[some fact] …

Triangle InformationTriangles can be classified in two ways: by Sides and by Angles.Classified by Sides: (Definitions)A Scalene Triangle has no congruent sides. Each side in this triangle has a different length. An Isosceles Triangle has two congruent si…

What is the meaning of Classmark and Prepare a Discrete Frequency DistributionImportant PointsThe word data means information. Statistical data are of two types : (i) Primary data (ii) Secondary dataWhen an investigator collects data himself with a defi…

How do you Calculate the MedianMedian of a distribution is the value of the variable which divides the distribution into two equal parts i.e. it is the value of the variable such that the number of observations above it is equal to the number of observa…

What is Cumulative Frequency in statisticsIf the frequency of first class interval is added to the frequency of second class and this sum is added to third class and so on then frequencies so obtained are known as Cumulative Frequency (c.f.).There are t…