Fundamental Concepts geometry · ICSE STD 6 (ICSE - English Medium). 5 questions.
Questions
[3 marks sum]
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Question 13 Marks
Draw a four-sided closed figure, in which all the sides are equal and each angle is 90° and also give the special name of the figure drawn.
Answer
In this four sided closed figure all the sides are equal and each angle is 90°. This figure is called a square. In ABCD, AB = BC = CD = DA and ∠A = ∠B =∠C = ∠D = 90°
In a circle, point P is its centre and PA = PB = radius of the circle. Where do points A and B lie?
Answer
A circle is given with centre P and PA = PB = radius of the circle. ∵ The radii of a circle are equal there they lie on the circumference of the circle In other words, path of a point which is equidistant from a fixed point is the circumference of a circle. The fixed point is called the centre and equidistance is the radius.
Draw a figure to show that: lines AB, CD and EF are concurrent.
Answer
If three or more lines pass through a common point, these are called concurrent lines. Below is given the figure, in which three lines AB, CD and EF are passing (or intersecting each other) at O.
Mark a point O on a piece of paper. Using a sharp pencil and a ruler, draw a line through the point O. Then draw one more line through the point O. How many lines can you draw through O? Write a statement regarding your observations.
Answer
We take a point O on a piece of paper. Using a sharp pencil, we draw a line OA through O. another line OB is drawn as shown in the figure. We can draw an infinite number of lines from O as we know that an infinite number of lines can be drawn through a point in aplane,
The shaded region of the given figure shows a plane: (i) Name the three collinear points. (ii) Name the three non-collinear points. (iii) Name a pair of intersecting lines.
Answer
(i) A, B and C are three collinear points. (ii) A, D and C are non-collinear points. (iii) AC and DE are intersecting lines.