Lines of symmetry in a regular Pentagon What is line of symmetry ? The line of symmetry is the imaginary line where we could fold the image and have both halves match exactly. If a given line splits a given figure into two identical halves, we say that the line has a line of symmetry […]

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Lines of symmetry in a regular octagon What is line of symmetry ? If a given line splits a given figure into two identical halves, we say that the line has a line of symmetry or that the figure is symmetrical about the line and line is called a line of symmetry or the axis […]

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Alternate Interior Angles – Definition – Examples – Properties What are alternate interior angles? The term alternate interior angles is often used when two lines are intersected by a third line(transversal). Alternate interior angles are formed when two lines are intersected by a third line. The third line is known as the transversal line. Alternate […]

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Concave Polygons: Definition – Examples & Properties   All polygons is either convex or concave. A polygon will be convex or concave, it depends on the measure of their angles. What is a Concave Polygon? A concave polygon have at least four sides, and concave polygon is just opposite of a convex polygon. If the measures […]

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 Theorem : In a parallelogram, opposite angles are equal.  Given: A parallelogram ABCD,  opposite sides of parallelogram are                         side AB and side DC                         side AD and side BC. To prove: Opposite angles of parallelogram are equal. […]

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Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord  AB. i.e.    OC ⊥ AB  therefore  ∠OCA and ∠OCB Both angles are 900.   To prove: AC = CB (C is the mid point of chord AB)    […]

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Area of a Triangle In this lesson we will learn, how to calculate the area of a triangles with different formula’s. When given 1. The base and height of a triangle.2. Two sides and one angle.3. The length of three sides.4. An equilateral triangle. First we see about a triangle.  A triangle is a simple […]

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Trigonometric Ratios of Some Specific Angles Trigonometric Ratios      Here are Trigonometric Ratios of some Specific angles,   00, 300, 450 , 600  and 900. Example: (1) Find the value of sin600 cos300 + sin300 cos600 Values of Trigonometric Ratios from above table,                        sin 600 = √3/2,                       […]

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 Elements of a Parallelogram In figure a Parallelogram ABCD.  There are four sides AB, BC, CD and DA and four angles ∠A, ∠B, ∠C and ∠D in a Parallelogram. AB and DC are opposite sides, and AD and BC are another pair of opposite sides. ∠A and ∠C are a pair of opposite angles, and another pair of opposite angles are ∠B and ∠D. AB […]

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