Chapter 14 · Class 7 CBSE · Worksheet

Constructions & Tessellations Worksheet — Class 7 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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

Sample Questions — Constructions & Tessellations

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

Q1.When constructing a line parallel to a given line 'l' through a point 'P' not on 'l', using the alternate interior angles method, which of the following properties is primarily used?

A.Sum of adjacent angles is 180°

B.Vertically opposite angles are equal

C.Corresponding angles are equal

D.Alternate interior angles are equal

Difficulty: Easy

Q2.Ravi is constructing a triangle PQR where PQ = 5 cm, QR = 3 cm, and RP = 7 cm. He draws a line segment PQ of length 5 cm. What is a valid first arc he could draw to locate point R?

A.An arc with center P and radius 3 cm.

B.An arc with center Q and radius 3 cm.

C.An arc with center P and radius 7 cm.

D.An arc with center Q and radius 5 cm.

Difficulty: Easy

Q3.Which of the following sets of side lengths CAN form a triangle?

A.2 cm, 2 cm, 5 cm

B.4 cm, 5 cm, 8 cm

C.3 cm, 4 cm, 7 cm

D.1 cm, 2 cm, 3 cm

Difficulty: Easy

Q4.When constructing a triangle ABC where AB = 6 cm, BC = 5 cm, and ∠B = 60°, what is the first step after drawing the base AB?

A.Draw an arc with center A and radius 5 cm.

B.Draw an arc with center B and radius 6 cm.

C.Draw a ray BX making an angle of 60° with AB at B.

D.Draw a ray AY making an angle of 60° with AB at A.

Difficulty: Easy

Q5.In the SAS (Side-Angle-Side) criterion for constructing a triangle, the 'angle' must be:

A.The angle included between the two given sides.

B.The largest angle of the triangle.

C.Any angle of the triangle.

D.The angle opposite to one of the given sides.

Difficulty: Easy

Q6.Which of the following conditions is sufficient to construct a unique triangle?

A.Two sides and a non-included angle.

B.Three angles.

C.The perimeter of the triangle.

D.The lengths of all three sides.

Difficulty: Easy

Q7.A student needs to construct a line parallel to a given line 'm' passing through a point 'N' not on 'm'. Which of the following tools are *essential* for this construction using standard geometric methods?

A.Only a ruler

B.Only a compass

C.A ruler and a protractor

D.A ruler and a compass

Difficulty: Easy

Q8.What is a tessellation?

A.A pattern formed by arranging shapes that overlap each other.

B.A pattern formed by covering a surface with repeating geometric shapes without any gaps or overlaps.

C.A pattern formed by drawing random shapes on a surface.

D.A pattern formed by shapes that only touch at their vertices.

Difficulty: Easy

Answer Key — Sample Questions+

Q1:Alternate interior angles are equal

Q2:An arc with center Q and radius 3 cm.

Q3:4 cm, 5 cm, 8 cm

Q4:Draw a ray BX making an angle of 60° with AB at B.

Q5:The angle included between the two given sides.

Q6:The lengths of all three sides.

Q7:A ruler and a compass

Q8:A pattern formed by covering a surface with repeating geometric shapes without any gaps or overlaps.

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

Topic	Constructions & Tessellations
Board	CBSE
Class	7
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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Frequently Asked Questions

Where can I download a free Constructions & Tessellations worksheet for Class 7?+

You can download a free Constructions & Tessellations PDF worksheet for Class 7 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 & Tessellations worksheet?+

Each SparkEd worksheet for Constructions & Tessellations 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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