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Each option: 1 Mark
The points that are lying inside the triangle are O, S
The points that are lying outside the triangle are T and N.
The only point that lies on the triangle is M.

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A circular sector or circle sector (symbol:⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger area is the major sector. In the diagram, θ is thecentralangle in radians, r is the radius of the circle, and L is the arc length of the minor sector.

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Drawing figures: 2 Marks
Reason: 1 Mark
In ∠ABC we use two lines AB and BC to make ∠B whereasin ∠BAC we use lines BAand AC to make angle ∠A.

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Each point: 1 Mark
(a) In line segments AE and EC, point E is a common point
So, AE + EC = AC
(b) In part (a) we have proved that:
AE + EC = AC
$\Rightarrow$ AC – EC = AE
(c) For line segments BE and ED, point E is a common point.
So, BE + ED = BD
$\Rightarrow$ BE – BE = ED
(d) Also, BE = BE + ED
$\Rightarrow$ BD – DE = BE
($\because$ line segment ED = line segment DE)

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Explanation: 1 Mark
Solution: 1 Mark
Naming of Rays: 1 Mark
Common Ray: 1 Mark
In$\angle$ ABC and$\angle$ CBD, BC is a common arm. So,$\angle$ ABC and$\angle$ CBD form a linear pair.
Hence,$\angle$ ABC +$\angle$ CBD =$\angle$ ABD.
The various rays in the above figure are BA, BC, BD.
The two angles that share a common ray are $\angle$ABC and $\angle$CBD.

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Each Point: 1 Mark
1. An infinite number of lines can pass through one given point.
2. Only one line can pass through two given points.

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Figures: 1 Mark each
(a)

(b)

(c)

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Definition: 1 Mark
Example: 1 Mark
A ray is a portion of a line. It starts at one point (called starting point) and goes endlesslyin a direction.
The various other rays which we observe are Sun rays, rays coming from the headlight of cars, etc.

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Each option: 1 Mark
(i) Points in figure (i) are A, B and C.The line segments are AB, BC, and AC.
(ii) Points in figure (ii)are A, B, C and D. The line segments are AB, BC, CD and DA.
(iii) Points in figure (iii)are A, B, C, D and E. The line segments are AB, BC, CD, DE and AE.
(iv) Points in figure (iv) are A, B, C, D, E and F. The line segments are AB, CD and EF.

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Definition: 2 Marks
Properties: 2 Marks
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A radius is a line segment that connects the centre to a point on the circle.
The diameter is a straight line which starts at one point of the circle, goes through the centreand ends on the other point.
A chord of acircleis a straight line segment whose endpoints both lie on the circle.
Following are the properties of chords of a circle:
1. Chords are equidistant from the centre only if their lengths are equal.
2. A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.