SEBA Class 10 Mathematics MCQ Chapter 11 Constractions

SEBA Class 10 Mathematics MCQ Chapter 11 Constractions Question Answer in English Medium, Class 10 General Maths Multiple Choice Question Answer in English to each chapter is provided in the list so that you can easily browse throughout different chapters SEBA Class 10 Mathematics MCQ Chapter 11 Constractions Notes and select need one.

SEBA Class 10 Mathematics MCQ Chapter 11 Constractions

Also, you can read the SCERT book online in these sections Solutions by Expert Teachers as per SCERT (CBSE) Book guidelines. These solutions are part of SCERT All Subject Solutions. Here we have given Assam SEBA Class 10 Mathematics MCQ Chapter 11 Constractions Solutions for All Subject, You can practice these here.

Constractions

Chapter – 11

1. To divide a line segment AB in the ratio 4:7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1, A2, A3, ….are located at equal distances on the ray AX and the point B is joined to:

(a) A12

(b) A11

(c) A10

(d) A9

2. The basic unit of length used in constructions is typically:

(a) Millimetre

(b) Centimetre

(c) Metre

(d) Kilometre

Ans: (b) Centimetre.

3. To construct a triangle similar to a given triangle ABC with a scale factor of 3:4, we need to:

(a) Draw a triangle equal to triangle ABC.

(b) Draw a triangle smaller than triangle ABC.

(c) Draw a triangle larger than triangle ABC.

(d) None of the above.

Ans: (b) Draw a triangle smaller than triangle ABC.

4. Which method is used to construct the bisector of a given angle?

(a) Using a protractor.

(b) Using a ruler.

(c) Using a compass.

(d) Using a divider.

Ans: (c) Using a compass.

5. To construct a triangle similar to a given ΔABC with its sides 3/7 of the corresponding sides of ΔABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1, B2, B3, … on BX at equal distances and next step is to join:

(a) B10 to C

(b B3 to C

(c) B7 to C

(d) B4 to C

Ans: (c) B7 to C.

6. To construct a triangle given its base, a base angle, and the difference of the other two sides, we should:

(a) Use the angle bisector theorem.

(b) Use the properties of similar triangles.

(c) Draw an auxiliary line parallel to the base.

(d) Draw an auxiliary line perpendicular to the base.

Ans: (c) Draw an auxiliary line parallel to the base.

7. To construct a triangle similar to a given ΔABC with its sides 2/5 of the corresponding sides of ΔABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1, B2, B3, … on BX at equal distances and next step is to join:

(a) B5 to C

(b) B4 to C

(c) B10 to C

(d) B2 to C

Ans: (a) B5 to C.

8. To construct a triangle similar to a given ΔABC with its sides 3/7 of the corresponding sides of ΔABC:

(a) B10 to C

(b) B3 to C

(c) B7 to C

(d) B4 to C

Ans: (c) B7 to C.

9. To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be:

(a) 90°

(b) 1200

(c) 135°

(d) 60°

Ans:  (b) 1200

10. Which of the following sets of measurements can form a triangle?

(a) 2 cm, 3 cm, 5 cm

(b) 1 cm, 2 cm, 3 cm

(c) 4 cm, 5 cm, 1 cm

(d) 3 cm, 4 cm, 7 cm

Ans: (a) 2 cm, 3 cm, 5 cm.

11. To construct a triangle similar to a given ΔPQR with its sides 4/5 of the corresponding sides of ΔPQR:

(a) B4 to Q

(b) B5 to Q

(c) B9 to Q

(d) B3 to Q

Ans: (b) B5 to Q.

12. To divide a line segment AB in the ratio p : q (p, q are positive integers), draw a ray AX so that ∠BAX is an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is:

(a) greater of p and q

(b) p + q

(c) p + q – 1

(d) pq

Ans:  (b) p + q.

13. To construct a triangle similar to a given ΔSTU with its sides 7/10 of the corresponding sides of ΔSTU:

(a) B3 to T

(b) B5 to T

(c) B7 to T

(d) B10 to T

Ans: (d) B10 to T.

14. To construct a triangle similar to a given ΔDEF with its sides 5/8 of the corresponding sides of ΔDEF:

(a) B5 to E

(b) B8 to E

(c) B3 to E

(d) B4 to E

Ans: (b) B8 to E.

15. To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is:

(a) 105°

(b) 70°

(c) 140°

(d) 145°

Ans: (d) 145°.

16. To construct a perpendicular bisector of a line segment AB, the first step is to draw arcs with centres A and B and radii:

(a) Equal to AB.

(b) Less than AB.

(c) Greater than AB.

(d) Equal to half of AB.

Ans: (c) Greater than AB.

17. A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of ___________ from the centre.

(a) 2cm

(b) 5cm

(c) 3cm

(d) 3.5cm

Ans: (b) 5cm.

18. The perpendicular drawn from the center of a circle to a chord _____ the chord.

(a) Bisects.

(b) Centre.

(c) Trisects.

Ans: (a) Bisects.

19. To construct an angle of 60°, the first step is to draw an arc with center A and radius:

(c) a radius equal to the length of the side.

(d) a radius equal to half of the length of the side.

20. When constructing the perpendicular bisector of a line segment, the arcs intersect at:

(a) The endpoints of the segment.

(b) Two points equidistant from the endpoints.

(c) The midpoint of the segment.

(d) Any arbitrary point on the segment.

Ans: (b) Two points equidistant from the endpoints.

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