# CONSTRUCTIONS NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

Q1. Which of the following could possibly be not the sides of a triangle

1. 3 cm, 7 cm, 5 cm
2. 2 cm, 3 cm, 7 cm
3. 6 cm, 9cm, 5 cm
4. 4 cm, 5 cm, 6 cm

Q2. The point of intersection of the perpendicular bisectors of the sides of a triangle is called

1. Centroid
2. Orthocentre
3. Incentre
4. Circumcentre

Q3. If 60o angle is bisected twice then what will be measure of each angle that is constructed?

1. 45o
2. 30o
3. 15o
4. 5o

Q4. Choose the correct statement

1. If two sides of a triangle are unequal then the larger side has the smaller angle opposite to it.
2. The sum of the three sides of a triangle is less than the sum of its three medians.
3. The difference of two sides of a triangle is equal to the third side.
4. Of all the line segments that can be drawn from a point outside a line, the perpendicular is the shortest.

Q5. The bisector of an angle lies in its

1. Interior
2. Exterior
3. On the arms of the angle
4. Any where in the plane

Q6. The point of concurrence of the three angle bisectors of a triangle, is called

1. Centroid
2. Circumcentre
3. Incentre
4. Orthocentre

Q7. The bisector of any angle forms two

2. Vertically opposite angles
3. Supplementary angles
4. Obtuse angles.

Q8. The lengths of the sides of some triangles are given, which of them is not a right angled triangle?

1. 7 cm, 24 cm, 25 cm
2. 3.5 cm, 3 cm, 1.2 cm
3. 5 cm, 12 cm, 13 cm
4. 5 cm, 8 cm, 10 cm

Q9. Bisector of an angle divides the angle into

1. Four parts
2. Three parts
3. Two parts
4. Two equal parts

Q10. The bisector of a line segment is

1. Parallel to the line segment.
2. At an angle of 180o to the line
3. Perpendicular to the line segment.
4. At an angle of 45oto the line

Q11. In triangle ABC, altitude BE = altitude CF. Then triangle ABC is

1. Equilateral triangle
2. Right angled triangle
3. Isosceles triangle
4. Scalene triangle

Q12. To construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. We draw line segment AB of 12 cm. Draw a ray AX making 90o with AB. The next step is:

1. Cut a line segment AD of 18 cm on AX
2. Cut a line segment BD of 18 cm
3. Cut a line segment AD of 18 cm on AB
4. Cut a line segment BD of 18 cm on AB

Q13. Which of these triangles are possible to construct by knowing only its altitude?

1. Isosceles triangle
2. Equilateral triangle
3. Right angled triangle
4. Any triangle

Q14. A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the

1. Median
2. Altitude
3. Bisector
4. Perpendicular

Q15. A line segment has

1. No end points
2. Two end points
3. One end point.
4. Four end points

Q16. An angle whose measure is more than 180o and less than 360o is called a

1. Reflex angle
2. Acute angle
3. Straight angle
4. Complete angle

Q17. A line segment joining the vertex of a triangle to the mid point of the opposite side is called the

1. Median
2. Altitude
3. Bisector
4. Perpendicular

Q18. The centre of a circle can be located by drawing the …of its two non-parallel chords.

2. Diameter
3. Perpendicular bisectors
4. Circumference

Q19. An angle whose measure is equal to 180o is called a

1. Straight angle
2. Right angle
3. Complete angle
4. Acute angle

Q20. The internal and external bisectors of an angle form a

1. Reflex angle
2. Acute angle
3. Right angle
4. Straight angle

#### HERON’S FORMULA NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

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