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Geometry constructions - Lines, Angles, Triangles
Introduction - Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..
Introduction
Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..
Introduction
Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to the give..
Introduction
We have studied so far about equalities in a triangle. In an isosceles triangle two of the sides are equal. In an equilateral triangle all the sides are equal. But there exist several situations where we need to compare quantities which are not equal. This gives rise to th..
Question 3
Question: Give the definition of the following terms. Are there other terms that need to be defined first i) line segment ii) radius of a circle iii) square Answer: Line segment: A line segment is a part of a line with two terminal points. The other terms that need ..
Question 1
Question: Give a definition for a) parallel lines b) perpendicular lines Are these other terms that need to be defined first? Answer: a) Given any straight line and a point not on it, there exists one and only one line which passes through that point and never intersects the ..
Introduction
The word 'geometry' is derived from the Greek words 'geo' meaning 'earth' and 'metron', meaning 'measuring'. Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, th..
Introduction
Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to th..
Introduction
We have studied so far about equalities in a triangle. In an isosceles triangle two of the sides are equal. In an equilateral triangle all the sides are equal. But there exist several situations where we need to compare quantities which are not equal. This gives rise to the conc..
Concurrency of the perpendicular bisectors of the sides of a triangle
Draw a triangle ABC. Draw the perpendicular bisectors of its sides. The perpendicular bisectors of the sides of a triangle are concurrent (pass through the same point). Recall the procedure to draw the perpendicular bisectors of the sides of a triangle. Draw D ABC. With B and C as centr..
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