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Chapter 15 of 28
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Construction of Polygons

ICSE · Class 9 · Mathematics

Flashcards for Construction of Polygons — ICSE Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

42 questions26 flashcards5 concepts

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A step-by-step diagram showing the construction of a quadrilateral when four side lengths and one interior angle are provided, using a ruler and compass.
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26 Flashcards
Card 1Quadrilateral construction

Construct a quadrilateral with AB = 3.5 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 4.0 cm and ∠B = 45°.

Answer

Step 1: Draw BC = 4.0 cm. Step 2: Through B, draw a ray BP such that ∠B = 45°. Step 3: On BP, mark BA = 3.5 cm. Step 4: With A as centre and radius 4.0 cm, and with C as centre and radius 5.0 cm, draw

Card 2Quadrilateral construction

Construct a quadrilateral with AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, ∠B = 60° and ∠A = 120°.

Answer

Step 1: Draw BC = 4.5 cm. Step 2: At B, construct ∠MBC = 60° and cut BA = 4.0 cm on ray BM. Step 3: At A, draw a ray AP such that ∠A = 120°. Step 4: With C as centre and radius 4.7 cm, draw an arc cut

Card 3Quadrilateral construction

Construct a quadrilateral when AB = 3.0 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 3.5 cm and diagonal AC = 4.5 cm.

Answer

Step 1: First construct triangle ABC using AB = 3.0 cm, BC = 4.0 cm and AC = 4.5 cm. Step 2: Then construct triangle ADC using AD = 3.5 cm, CD = 5.0 cm and the same diagonal AC = 4.5 cm. Step 3: Join

Card 4Quadrilateral construction

Construct a quadrilateral when AB = 3.5 cm, BC = 3.0 cm, AD = 3.8 cm, AC = 5.0 cm and BD = 4.5 cm.

Answer

Step 1: First construct triangle ABC. Step 2: Then construct triangle ABD. Step 3: Join C and D. Answer: ABCD is the required quadrilateral.

Card 5Construction method

Why is a rough free-hand sketch drawn before starting an actual construction?

Answer

A rough sketch gives the shape a clear plan before using the ruler and compass. It helps identify the given sides, angles, and diagonals correctly, so the construction can be done in the right order.

Card 6Parallelogram construction

Construct a parallelogram with AB = 3.0 cm, BC = 4.0 cm and ∠B = 60°.

Answer

Step 1: Use the fact that opposite sides of a parallelogram are equal. Step 2: Take AB = 3.0 cm, BC = 4.0 cm and ∠B = 60° and construct triangle ABC. Step 3: Then construct triangle ADC. Step 4: Join

Card 7Parallelogram properties

When do you use the fact that opposite sides of a parallelogram are equal in construction?

Answer

Use it when two consecutive sides and the included angle are given. Example: If AB = 3.0 cm, BC = 4.0 cm and ∠B = 60°, then AB = DC and BC = AD. So triangle ABC is drawn first, and then triangle ADC i

Card 8Parallelogram construction

Construct a parallelogram with BC = 4.5 cm, AC = 5.6 cm and BD = 5.0 cm.

Answer

Step 1: Since diagonals of a parallelogram bisect each other, construct triangle OBC. Step 2: Find half of BD: OB = 1/2 × 5.0 cm = 2.5 cm. Step 3: Find half of AC: OC = 1/2 × 5.6 cm = 2.8 cm. Step 4:

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Frequently Asked Questions

What are the important topics in Construction of Polygons for ICSE Class 9 Mathematics?
Construction of Polygons covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Construction of Polygons — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 42 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Construction of Polygons?
There are 26 flashcards for Construction of Polygons covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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