2 Marks Questions

Question 12 Marks

Construct the following angles using set-squares: $60^\circ $

Answer

$60^\circ $ Place $30^\circ $ set-square as shown in the figure. Draw the rays $BA$ and $BC$ along the edges from the vertex of $60^\circ $ The angle so formed is $60^\circ $
$\angle\text{ABC}=60^{\circ}$

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Question 22 Marks

Construct the following angles using set-squares: $90^\circ $

Answer

$90^\circ $ Place $= 90^\circ $ set-square as shown in the figure. Draw two rays $BC$ and $BA$ along the edges from the vertex of $90^\circ $ angle. The angle so formed is $90^\circ $ angle. $\angle\text{ABC}=90^{\circ}$

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Question 32 Marks

Construct the following angles using set-squares: $45^\circ $

Answer

$45^\circ$ Place $45^\circ$ set-square. Draw two rays $AB$ and $AC$ along the edges from the vertex from the vertex of $45^\circ$ angle of the set- square. The angle so formed is a $45^\circ$ angle. $\angle\text{BAC}=45^{\circ}$

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Question 42 Marks

Mark two points, $A$ and $B$ on a piece of paper and join them. Measure this length. For each of the following draw a line segment $CD$ that is: Equal to the segment $AB.$

Answer

Mark two points, $A$ and $B$ on a piece of paper and join them as follows:

To measure the length of $AB,$ place the ruler with its edge along $AB,$ such that the zero mark of the \ cm side of the ruler coincides with point $A,$ as shown in the figure. Now, read the mark on the ruler, which corresponds to the point $B.$ The reading on the ruler at point $B$ is the length of the line segment $AB.$ Here, $AB = 5.6\ cm$ To draw the line segment $CD$ equal to $AB,$ take a divider and open it, such that the end-point of one of its arms is at $A$ and the end-point of the second arm is at $B,$ as shown in the figure. Then, lift the divider and without disturbing its opening, place the end-points of both hands on the paper, where we have to draw $CD.$

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Question 52 Marks

How many rays are represented in Fig.? Name them.

Answer

We know that a ray has fixed starting point and it can be drawn to infinity. If we take $0$ as starting point, we will have a ray in every given direction. So, our rays are, $\overrightarrow{\text{OA}},\overrightarrow{\text{OB}},\overrightarrow{\text{OC}},\overrightarrow{\text{OD}},\overrightarrow{\text{OE}},\overrightarrow{\text{OF}},\overrightarrow{\text{OG}},\overrightarrow{\text{OH}}.$ Thus, the number of rays in the figure is $8.$

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Question 62 Marks

Given a line $BC$ and a point $A$ on it, construct a ray $AD$ using set squares so that $\angle\text{DAC}$ is: $30^\circ $

Answer

Draw a line $BC$ and take a point $A$ on it. Place $30^\circ $ set-square on the line $BC$ such that its vertex of $30^\circ$ angle lies on point $A$ and one edge coincides with the ray $AB$ as shown in figure. Draw the ray $AD.$

Thus $\angle\text{DAC}$ is the required angle of $30^\circ$.

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MATHS 2 Marks Questions

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