This set of Civil Engineering Drawing Multiple Choice Questions & Answers (MCQs) focuses on “Geometrical Construction”.
1. Which of the following is not a line segment?
c) Laser beam
Explanation: A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A ray is a line with one end goes forever in the other direction. Here option Laser beam is ray and others are line segment.
2. The angle bisector bisects the angle exactly __________
b) 60 degree
d) Any ratio
Explanation: The bisector of an angle is a ray whose end point is the vertex of the angle and which divides the angle into two equal angles. For the figrure given below BD line is the angular bisector dividing angle ABC in two equal parts.
3. What must you be given to construct an equilateral triangle by compass?
a) One side
b) One angle
c) Two side
d) One angle and one side
Explanation: An equilateral triangle is one which has all three sides of the same length. For the figure given below, with centres P and Q and radius equal to PQ, draw arcs intersecting each other at R. After this draw lines joining R with P and Q. The triangle obtained is the equilateral triangle.
4. Which of the property given below is false regarding a square?
a) A square is a particular case of a rectangle and a rhombus simultaneously
b) A square is a parallelogram with right angles and equal sides
c) The diagonals of a square cut at 90 degree
d) A square is a particular case of a rectangle only
Explanation: Square is a combination of the properties of a rectangle and a rhombus, i.e. with four congruent sides similar to rhombus and with four right angles same as of rectangle. This can be understood from the figure below.
5. If you are given only a compass and a ruler which angle is not possible to construct?
Explanation: It is not possible to construct an angle that is not a multiple of 15. Angle 40 is not a multiple of 15 while 120 is multiple of 15. Angle 37.5 is formed by angular bisector of angle 75 which is again a multiple of 15. Angle 33.75 is formed by bisecting angle 135 two times, is also a multiple of 15.
6. N number of circles are formed with a common centre, what is that geometry called?
a) Inscribed circle
c) Circumscribed circle
d) Concentric circle
Explanation: Two or more circles with same centre and different radii, are termed as concentric circle. Inscribed circle is the largest possible circle drawn inside a polygon, each side of the polygon must be tangent to the circle, while a circle containing a polygon in its interior touching all vertices of a plane figure is called circumscribed circle.
7. What is the value of each angle of a regular hexagon?
Explanation: Sum of the interior angles of a regular polygon = (n – 2)*180, n= no. of sides
Of a regular hexagon = (6 – 2)*180 = 720
Each interior angles of a regular polygon = sum of interior angle/no. of sides
= 720/6 = 120.
Explanation: A T-shaped ruler used in engineering drawing, consisting of a short crosspiece, which slides along the edge of the drawing board, and a long horizontal piece: used for drawing horizontal lines and to support set squares when drawing vertical and inclined lines.
9. If X is a point on AB and A – X – B (X is between A and B), then AB =?
a) AX + XB
b) AB – XB
c) AB – XA
d) AX – XB
Explanation: The part of a line that connects two points. It has definite end points. Adding the word “segment” is important, because a line normally extends in both directions without end. The figure shows a line segment AB with point C. Point C can divide the line segment in any ratio.
10. Which geometric principle is used to justify the construction below?
a) A line perpendicular to one of two parallel lines is perpendicular to the other
b) Two lines are perpendicular if they intersect to form congruent adjacent angles
c) When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel
d) When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel
Explanation: ∠A, ∠F, ∠G, ∠D are exterior angles. ∠B, ∠E, ∠H, ∠C are interior angles. ∠B and ∠E, ∠H and ∠C are consecutive interior angles. ∠A and ∠G, ∠F and ∠D are alternate exterior angles. ∠E and ∠C, ∠H and ∠B are alternate interior angles. ∠A and ∠E, ∠C and ∠G ∠D and ∠H, ∠F and ∠B are corresponding angles.
Explanation: A perpendicular bisector is a special kind of segment, ray, or line that intersects a given segment at a 90° angle, and that passes through the given segment’s midpoint. Also, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Explanation: Given both the perpendiculars are equal so according to postulate, equal side has equal angle opposite to it.
So, angle ADB = angle BDC, on equating both angles as 7x+17 = 3(4x – 1) x=4, and angle BDC = 45.
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