Difference between Acute angle and Obtuse Angle
Acute angle and Obtuse Angle – Difference In this tutorial, we will learn difference between an acute angle and obtuse angle.
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Right Angle Triangle – Definition – Formula – Properties
Right Angle Triangle – Definition – Formula – Properties What is a Right Angle Triangle? A right angle triangle is a type of triangle. A right angle triangle plays an important role in trigonometry. A triangle in which one of the interior angle is 90º or a right angle is a right triangle. Right Triangle […]
Read More →Right Angle – Definition, Example and Properties
Right Angle – Definition, Example and Properties What is a right angle? When two straight lines are perpendicular to each other or intersect at 90º, they form a right angle. A right angle is represented by the symbol L. In our daily life we can see many real-life examples of the right angles. We can […]
Read More →Types Of Angles – (Acute, Right, Obtuse, Straight, Reflex, Complete Angles)
What is an Angle Angles are formed by two rays or lines called the arms or sides of the angle, sharing a common endpoint, called the vertex of the angle. Types of angles There are various types of angles. The angles can be classified into two main types. Basis on their measure or magnitude. Based […]
Read More →Altitude H of a Geometric Figure
Geometric Figure – Altitude Height – Definition In a geometric figure, the shortest distance between the base and its top, whether that top is an opposite vertex, an apex or another base.
Read More →Draw a Circle of a Given Radius – Using Compass
How to draw a Circle of a Given Radius – Using Compass Circle A circle is a collection of all the points in a plane, whose all points are same distance from a fix point. The fix point is called center of the circle. We use instruments for drawing a circle, on a paper whose […]
Read More →Properties of a Parallelogram
Parallelograms – Properties A parallelogram is a special type of a polygon. it is a quadrilateral with both pair of opposite sides are parallel. Properties 1. Opposite sides are equal. Opposite sides, AB = CD and AC = BD 2. Opposite angles are equal. Opposite angles are ∠A = ∠D and ∠B […]
Read More →Two triangles having the same base(or equal bases) and equal areas lie between the same parallels
Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]
Read More →Two triangles on the same base (or equal bases) and between the same parallels are equal in area
Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]
Read More →The sum of the angles of a triangle is 180-Theorem
The sum of the angles of a triangle is 180º Given: A triangle △ PQR and ∠1, ∠2, and ∠3 are angles of triangle △ PQR. To prove: ∠1 + ∠2 + ∠3 = 1800 Construction: Draw a line XPY parallel to QR passing through P. Proof: XPY ∥ QR and PQ is transversal ∴ ∠2 = ∠4 (Alternate angles) ….(1) XPY ∥ QR and PR […]
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