Mathematics - Practical Geometry
Exam Duration: 45 Mins Total Questions : 30
Into what type of parts is a figure divided by bisecting it?
- (a)
Unequal
- (b)
Equal
- (c)
Triangular
- (d)
Perpendicular
Which of the following is an angle that can be constructed using compasses and a ruler?
- (a)
20°
- (b)
80°
- (c)
60°
- (d)
110°
Identify the one with no definite length.
- (a)
\(\overleftrightarrow { AB } \)
- (b)
\(\bar { PQ } \)
- (c)
-XYZ
- (d)
\(\bar { MN } \)
A maths teacher asked his students to draw a pair of parallel lines. Which instrument(s) are the students most likely to use?
- (a)
A ruler and a compass
- (b)
Two edges of a ruler
- (c)
A ruler and a setsquare
- (d)
Both (B) and (C)
\(\vec { QZ } \) is the bisector of ㄥPQR. Which of the following is true?
- (a)
ㄥPQZ=ㄥPQR
- (b)
ㄥPQZ=ㄥZQR
- (c)
ㄥPQZ=\(\frac { 1 }{ 2 } \)ㄥPQR
- (d)
Both (B) and (C)
The point M on \(\overleftrightarrow { AB } \) is such that \(\bar { AM } =\bar { MB } \) Which of the following is a false statement?
- (a)
M is the mid-point of \(\overleftrightarrow { AB } \)
- (b)
\(\bar { AM } \)=\(\frac { 1 }{ 2 } \)\(\overleftrightarrow { AB } \)
- (c)
\(\bar { MB } \)=2\(\overleftrightarrow { AB } \)
- (d)
The point M bisects AB.
Lines a, b, p, q, m, n and x have a point P common to all of them. What is the name of P?
- (a)
Point of concurrence
- (b)
Point of intersection
- (c)
Common point
- (d)
Distinct point
X is the midpoint of \(\bar { AB } \) . If \(\bar { AX } \) =9.3 cm what is the measure of \(\bar { AB } \) ?
- (a)
4.65 cm
- (b)
18.6 cm
- (c)
9.3 cm
- (d)
18 cm
\(\vec { MN } \) is the perpendicular bisector of \(\overleftrightarrow { AB } \) Which of the given statements is correct?
(i) ㄥANM+ㄥMNB=900
(ii) \(\bar { AN } =\bar { NB } \)
(iii) \(\bar { AN } =2\bar { NB } \)
(iv) ㄥMNB=\(\frac { 1 }{ 2 } \)ㄥANM
- (a)
(i) and (iii) only
- (b)
(ii) and (iv) only
- (c)
(i) and (ii) only
- (d)
(ii) and (iii) only
P and Q are the end points of a line segment \(\bar { PQ } \) . If R is any point on \(\bar { PQ } \), which of the given statements may be true?
- (a)
PR = QR
- (b)
PR<QR
- (c)
PR>QR
- (d)
All the above
At 7 a.m. the angle between the Sun's ray and the ground at a point is 43°. What would be the angle at 10 a.m.?
- (a)
40°
- (b)
90°
- (c)
Between 430 and 900.
- (d)
Greater than 900
p || q. Cand D are two points on p and M and N are two points on q, such that M and N are exactly opposite to C and D respectively. Identify the true statement.
- (a)
CDNM forms a rectangle
- (b)
\(\bar { CM } =\bar { DN } \).
- (c)
Both (A) and (B)
- (d)
Neither (A) nor (B)
Lines p and q have a point M in common. Identify the correct statement.
- (a)
ㄥ1=-3
- (b)
ㄥ2=-3
- (c)
ㄥ3=ㄥ4
- (d)
ㄥ1=ㄥ2
How many lines can be drawn passing through a given point?
- (a)
One only
- (b)
Two
- (c)
Three
- (d)
Infinitely many
Through a line in a plane, number of lines that can be drawn is_____.
- (a)
1
- (b)
2
- (c)
0
- (d)
infinite
Sumit constructed an angle of 90° and trisected it. Measure of two angles taken together will be_______.
- (a)
20°
- (b)
40°
- (c)
600
- (d)
None of these
A line segment has___ end points.
- (a)
No
- (b)
2
- (c)
1
- (d)
3
Number of perpendicular bisectors on a line segment is_______.
- (a)
Three
- (b)
Five
- (c)
One
- (d)
Infinite
If a line segment PQ = 8.2 cm is bisected at O, then length of PO =
- (a)
4.2 cm
- (b)
4 cm
- (c)
4.1 cm
- (d)
16.4 cm
Which of the following steps is INCORRECT while constructing an angle of 60°?
Step-1 : Draw a line EF and mark a point o on it.
Step-2 : Place the pointer of the compass at O and draw an arc of convenient radius which cuts the line EF at point P.
Step-3 : With the pointer at A (as centre), draw an arc that passes through O.
Step-4 : Let the two arcs intersect at Q. Join OQ. We get \(\angle\)QOP whose measure is 60°.
- (a)
Only Step-1
- (b)
Both Step-2 and Step-3
- (c)
Only Step-3
- (d)
Both Step-3 and Step-4
State 'T' for true and 'F' for false.
(i) It is possible to divide a line segment in 5 equal parts by perpendicularly bisecting a given line segment 5 times.
(ii) With a given centre and a given radius, only one circle can be drawn.
(iii) If we bisect an angle of a square, then we get two angles of 45° each
- (a)
i ii iii F T T - (b)
i ii iii F T F - (c)
i ii iii T F T - (d)
i ii iii T T F
Read the statements carefully and select the correct option.
Statement-1 : Two lines are said to be perpendicular if they intersect each other at an angle of 90°.
Statement-2 : A unique circle can be drawn passing through the given centre.
- (a)
Both Statement-1 and Statement-2 are true .
- (b)
Statement-1 is true and Statement-2 is false.
- (c)
Statement-1 is false and Statement-2 is true.
- (d)
Both Statement-1 and Statement-2 are false.
It is 12 0' clock. Look at the clock hands. What is the measure of the angle they have formed?
- (a)
900
- (b)
1800
- (c)
2700
- (d)
360o
The vertex of an angle lies
- (a)
in its interior
- (b)
in its exterior
- (c)
on the angle
- (d)
inside the angle
If Anisha turns 90° to her left what would she be facing
- (a)
Chairs and tables
- (b)
Book shelves
- (c)
Windows
- (d)
Coffee Machine
State which of the following statement is true?
- (a)
Point has a size because we can see it as a thick dot on paper
- (b)
Any plane through a vertical line is vertical
- (c)
Any plane through a horizontal line is horizontal
- (d)
Two lines in a plane always intersect in a point.
AB, BC and CA are three sides of a triangle. Which of these conditions will give us a scalene triangle?
- (a)
AB≠.BC≠.CA
- (b)
AB≠ BC : BC = CA
- (c)
AB=BC=CA
- (d)
AB = BC : BC≠ CA
Rajeev has a square plot of 300m.
Find the area of the plot
- (a)
6000m
- (b)
30000 m2
- (c)
90000 m
- (d)
90000 m2
What will happen to the area of a rectangle if its length is doubled and breadth is trebled.
- (a)
4 times the area
- (b)
6 times the area
- (c)
3 times the area
- (d)
5 times the area
Study the figure given.
If angle P = 60°, RT || QP and angle TRS = 65°
Then angle PRQ is
- (a)
65o
- (b)
55o
- (c)
60o
- (d)
45o