If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram. Given: ABCD is a quadrilateral, each pair of opposite sides of quadrilateral ABCD are AB and CD and also sides AD and BC are equal. AB = CD BC = AD To prove: ABCD is a parallelogram. Construction: Join A to C that is AC, is […]
Read More →In a parallelogram opposite sides are equal. Given: A parallelogram ABCD, each pair of Opposite sides of parallelogram are side AB and side DC and side AD and side BC. To prove: Opposite sides of parallelogram are equal that is AB = DC and AD = BC Construction: Join A to C that is AC, is a diagonal, the diagonal AC […]
Read More →Angles opposite to equal sides of an isosceles triangle are equal. Given: A isosceles triangle △ ABC in which AB = AC, andangles opposite to equal sides of triangle are ∠B and ∠C. To prove: We need to prove that ∠B and ∠C, are equal ∠B = ∠C. Construction: Draw the bisector […]
Read More →The side opposite to equal angles of a triangle are equal. Given: A triangle △ ABC in which angles opposite to sides AC and AB of are ∠B and ∠C, and ∠B = ∠C. To prove: We need to prove that sides AB and AC, are equal AB = AC. Construction: Draw […]
Read More →If two Lines are parallel to a third line then the lines are parallel to each other. Given: It is given that three lines l, m, and n, and line l ∥ line m and line m ∥ line n. To Prove: Line l ∥ Line n Proof: Let us draw a line p transversal for lines l, m, and n. For lines l […]
Read More →Types of triangles- Right, Acute, Obtuse….. Type on triangles on base of angles 1. Right triangle: If in a triangle, one angle is 90 degree, the triangle called right triangle. or A right triangle has a 900 angle. The following triangle is a right triangle. 2. Acute triangle: If in a triangle, all three […]
Read More →Triangle – Definition and Properties The origin of term “Triangle” from latin word tri (“Three”) and angulus means (“angles”). A “Triangle” is a simple closed curve or a three sided polygon. A triangle has three angles and three sides and three vertices. It is one of the basic shape in geometry. In Euclidean geometry any non-collinear, three points, determine a unique triangle. The triangle […]
Read More →Mathwords A to Z With Meanings There are many types of dictionaries. English-Dictionary Graph-Dictionary etc, Graph-Dictionary contains all types of graphs English-Dictionary is common dictionary. In math-Dictionary we can find list of more than 2100 mathematical words and their meanings. Dictionary is a book in which we can see the meaning of each and every word. […]
Read More →What is an Acute Triangle: Definition, Formula and Properties In geometry, a triangle is a polygon with three sides, three vertices and three interior angles. In other words a triangle is a closed two dimensional plane figure with three sides and three angles. Triangles are classified on the basis of their sides and angles. There […]
Read More →Supplementary and Complementary Angels To understand supplementary and complementary angles, first we need to understand the adjacent angles. Adjacent angle Two angles that have a common vertex and a common side but not overlap, are known as adjacent angles. Complementary Angles When the total of […]
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