Chapter 11 · Class 9 CBSE · Worksheet

Constructions Worksheet — Class 9 CBSE Maths

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Constructions

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements is true about the bisector of an angle?

A.It is always perpendicular to one of the arms of the angle.
B.Any point on the bisector is equidistant from the two arms of the angle.
C.It divides the angle into two unequal parts.
D.It always passes through the midpoint of any line segment connecting points on the arms.

Difficulty: Easy

Q2.Shreya wants to construct the perpendicular bisector of a line segment XY. She opens her compass, places the needle at X, and draws an arc above and below XY. Then, she places the needle at Y and draws another arc with a *different* radius, intersecting the first arc. She then draws a line through the intersection points. What mistake did Shreya make?

A.She should have used a radius less than half of XY.
B.She should have only drawn arcs on one side of XY.
C.She should have used the same radius for arcs drawn from X and Y.
D.She should have drawn a circle instead of arcs.

Difficulty: Easy

Q3.In classical Euclidean geometric constructions, which of the following tools are permitted?

A.An unmarked ruler and a compass.
B.A marked ruler and a compass.
C.An unmarked ruler and a protractor.
D.A protractor and a compass.

Difficulty: Easy

Q4.To construct an angle of 60° at point O on a given ray OA, which of the following steps is *incorrect*?

A.With O as center and any convenient radius, draw an arc cutting OA at P.
B.With P as center and a radius equal to the first one, draw an arc cutting the previously drawn arc at Q.
C.Draw a ray OQ.
D.The angle AOQ formed will be 60°.

Difficulty: Easy

Q5.To construct an angle of 45°, which angle must first be accurately constructed and then bisected?

A.30°
B.60°
C.90°
D.120°

Difficulty: Easy

Q6.If a point P lies on the perpendicular bisector of a line segment AB, what can be concluded about the distances from P to A and P to B?

A.PA > PB
B.PA = PB
C.PA < PB
D.PA is twice PB

Difficulty: Easy

Q7.Which of the following is a valid method to construct a 90° angle using only a compass and an unmarked ruler?

A.Construct a 60° angle and add another 30° using a protractor.
B.Draw a ray, construct 60° and 120° angles from the same point on the ray, and then bisect the angle between the rays forming 60° and 120°.
C.Draw a ray, construct a 45° angle, and then double it.
D.Draw a straight line, construct two 60° angles adjacent to each other, and then bisect the angle formed by their outer rays.

Difficulty: Easy

Q8.An angle measures 110°. If its bisector is drawn, what will be the measure of each of the two resulting angles?

A.55°
B.110°
C.70°
D.220°

Difficulty: Easy

Answer Key — Sample Questions+
Q1:Any point on the bisector is equidistant from the two arms of the angle.
Q2:She should have used the same radius for arcs drawn from X and Y.
Q3:An unmarked ruler and a compass.
Q4:With P as center and a radius equal to the first one, draw an arc cutting the previously drawn arc at Q.
Q5:90°
Q6:PA = PB
Q7:Draw a ray, construct 60° and 120° angles from the same point on the ray, and then bisect the angle between the rays forming 60° and 120°.
Q8:55°

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About This Worksheet

TopicConstructions
BoardCBSE
Class9
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Constructions worksheet for Class 9?+
You can download a free Constructions PDF worksheet for Class 9 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Constructions worksheet?+
Each SparkEd worksheet for Constructions contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
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Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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