Easy Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Define geometrical construction.

Geometrical construction is the process of drawing figures using only a compassprotractor and a (straightedge).

Correct! Constructions use only basic tools without measurements.

(2) What is the difference between a compass and a ruler in constructions?

A compass is used to draw circleslines and , while a (straightedge) is used to draw lines.

Perfect! Each tool has its specific purpose in constructions.

(3) Draw a line segment of length 6 cm.

(4) Draw an angle of 60° using a compass and ruler.

(5) Draw the perpendicular bisector of a line segment 8 cm long.

Short Answer Questions (2 Marks Each)

(1) Construct a triangle given its three sides 5 cm, 6 cm, and 7 cm.

(2) Construct an angle of 45° at a given point on a line segment.

(3) Draw the perpendicular from a point on a line segment to the line.

(4) Construct the bisector of an angle 60°.

(5) Draw a line perpendicular to a given line at a point outside the line.

Long Answer Questions (4 Marks Each)

(1) Construct a triangle with sides 6 cm, 8 cm, and 10 cm.

(2) Construct a triangle given base 6 cm, adjacent angle 60°, and sum of other two sides 10 cm.

(3) Construct the perpendicular bisector of a line segment 10 cm and mark its midpoint.

(4) Construct the bisector of an angle of 120° and draw a line perpendicular to it from a point on one arm.

(5) Construct a triangle similar to a given triangle with scale factor 12.

Part B: Objective Questions (1 Mark Each)

Choose the correct answer and write the option (a/b/c/d)

(1) Which instrument is used to draw circles in geometrical constructions?

(a) Ruler (b) Compass (c) Protractor (d) Set square

Correct! Compass is specifically designed for drawing circles and arcs.

(2) The perpendicular bisector of a line segment:

(a) Passes through midpoint at right angle (b) Passes through endpoint at right angle (c) Divides angle into two equal parts (d) Draws a parallel line

Correct! Perpendicular bisector cuts the segment at its midpoint at 90°.

(3) An angle bisector divides an angle into:

(a) Two equal angles (b) Two unequal angles (c) Complementary angles (d) Supplementary angles

Correct! Bisector means to divide into two equal parts.

(4) Which of these is NOT a basic tool in geometrical constructions?

(a) Compass (b) Ruler (c) Pencil (d) Calculator

Correct! Constructions use only compass and ruler, no calculations needed.

(5) Constructing a triangle given three sides is called:

(a) SSS construction (b) SAS construction (c) ASA construction (d) RHS construction

Correct! SSS = Side-Side-Side construction method.

(6) To draw a perpendicular from a point outside a line, which method is used?

(a) Compass arcs method (b) Ruler only (c) Protractor measurement (d) Freehand

Correct! External perpendicular requires compass arcs technique.

(7) The midpoint of a line segment is obtained using:

(a) Angle bisector (b) Perpendicular bisector (c) Parallel line (d) Triangle method

Correct! Perpendicular bisector passes through the midpoint.

(8) To construct a triangle given base, adjacent angle, and sum of other two sides, which method is used?

(a) SAS (b) ASA (c) SSS (d) RHS

Correct! This is a special RHS (Right angle-Hypotenuse-Side) type construction.

(9) The scale factor in similar triangles determines:

(a) Size ratio (b) Shape difference (c) Angle difference (d) Line slope

Correct! Scale factor shows how much larger or smaller the similar triangle is.

(10) A triangle with sides 3 cm, 4 cm, 5 cm is:

(a) Right-angled (b) Equilateral (c) Isosceles (d) Obtuse

Correct! 32 + 42 = 52, so it's a Pythagorean triplet (right-angled triangle).

Constructions Challenge

Determine whether these statements are True or False:

Constructions Quiz