Question 13 Marks
Give the lengths of the sides of a rectangle that can not be divided into (i) two identical squares (ii) three identical squares.
Answer
View full question & answer→(i) 7 cm, 9 cm (ii) 8 cm, 12 cm
Questions
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23 questions · self-marked practice — reveal the answer and mark yourself.
Question 23 Marks
Construct a square of side 6 cm. Draw a circle of radius 2 cm inside the square whose centre is same as the centre of the square.
Answer
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Question 33 Marks
Construct a rectangle of sides 8 cm and 4 cm. Now construct a square inside the rectangle such that the centre of the square is the same as the centre of the rectangle.
Answer
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Question 43 Marks
Construct a rectangle that can be divided into three identical squares.
Answer
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Question 53 Marks
Draw a 4-sided figure in which all the sides are equal to 6 cm and it is not a square.
Answer
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Question 63 Marks
Construct a rectangle in which one of the diagonals divides the opposite angles into $45^{\circ}$ and $45^{\circ}$. What do you observe about the sides.
Answer
View full question & answer→All sides are equal.
Question 73 Marks
Construct a rectangle in which one of the diagonals divides the opposite angles into $50^{\circ}$ and $40^{\circ}$.
Answer
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Question 83 Marks
Construct a rectangle one of whose sides is 4 cm and the diagonal is of length 8 cm.
Answer
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Question 93 Marks
Construct a rectangle one of whose sides is 3 cm and the diagonal is of length 7 cm.
Answer
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Question 103 Marks
Draw a rectangle of sides 4 cm and 10 cm. After drawing, check if it satisfies both the rectangle properties.
Answer
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Question 113 Marks
Draw two rays $P Q$ and $R S$ as shown in Fig. (i) and (ii). Using protractor, construct angles of $15^{\circ}$ and $138^{\circ}$ with one arm $P Q$ and $R S$ respectively.
Answer
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Question 123 Marks
Construct the following angles with the help of a protractor:
$45^{\circ}, 67^{\circ}, 38^{\circ}, 110^{\circ}, 179^{\circ}, 98^{\circ}, 84$
$45^{\circ}, 67^{\circ}, 38^{\circ}, 110^{\circ}, 179^{\circ}, 98^{\circ}, 84$
Answer
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Question 133 Marks
Using a protractor, draw $\angle B A C$ of measure $45^{\circ}$. Take a point $P$ in the interior of $\angle B A C$. From $P$ draw line segments $P M$ and $P N$ such that $P M \perp A B$ and $P N \perp A C$, Measure $\angle M P N$.
Answer
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Question 143 Marks
Draw a line segment AB of length 8 cm. At each end of this line segment, draw a line perpendicular to AB. Are these two lines parallel?
Answer
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Question 153 Marks
Using a protractor, draw $\angle B A C$ of measure $70^{\circ}$. On side $A C$, take a point $P$, such that $A P=2 cm$. From $P$ draw a line perpendicular to $A B$.
Answer
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Question 163 Marks
Draw a line segment PQ of length 12 cm. Mark a point O outside this segment. Draw a line through O perpendicular to PQ.
Answer
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Question 173 Marks
Draw a line segment AB of length 10 cm. Mark a point P on AB such that AP = 4 cm. Draw a line through P perpendicular to AB.
Answer
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Question 183 Marks
Draw a line $A B$ and take two points $C$ and $E$ on opposite sides of $A B$. Through $C$, draw $C D \perp A B$ and through $E$ draw $E F \perp A B$ by using ruler and compasses.
Answer
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Question 193 Marks
Drav a line $l$. Take a point $A$, not lying on $l$. Draw a line $m$ such that $m \perp l$ and passing through $A$ by using ruler and compasses.
Answer
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Question 203 Marks
Draw a line PQ. Take a point R on it. Draw a line perpendicular to PQ and passing through R by using ruler and compasses.
Answer
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Question 213 Marks
Draw an angle and label it as $\angle B A C$. Draw its bisector ray $A X$ and take a point $P$ on it. From $P$ draw line segments $P M$ and $P N$, such that $P M \perp A B$ and $P N \perp A C$, where $M$ and $N$ are respectively points on rays $A B$ and $A C$. Measure $P M$ and $P N$. Are the two lengths equal?
Answer
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Question 223 Marks
How many lines can be drawn which are perpendicular to a given line and pass through a given point lying (i) outside it? (ii) on it?
Answer
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Question 233 Marks
Construct two segments of lengths 4.3 cm and 3.2 cm. Construct a segment whose length is equal to the sum of the lengths of these segments.
Answer
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