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Constructions — Flashcards

ICSE · Class 7 · Mathematics

31 flashcards for Constructions (ICSE Class 7 Mathematics) to test yourself on key terms and facts. Sample: "Construct an angle equal to a given angle"

54 questions31 flashcards7 formulas & key relations5 concepts

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31 Flashcards·
Construction of angles
Card 1Construction of angles

Construct an angle equal to a given angle ABC. What is the final result after copying the angle?

Answer

Step 1: Draw an arc from vertex B cutting AB at D and BC at E. Step 2: Draw a line PQ and make the same arc from P, cutting PQ at R. Step 3: With R as centre and radius DE, cut the second arc at S. St…

Card 2Construction of angles

Why must the same radius be used while copying an angle?

Answer

The same radius makes both arcs comparable. Step 1: Draw an arc at the original angle with one radius. Step 2: Draw another arc at the new vertex with the same radius. Step 3: The distance between the…

Card 3Construction of angles

Bisect angle ABC. What is the result after the construction?

Answer

Step 1: With B as centre, draw an arc cutting AB at D and BC at E. Step 2: With E as centre and radius more than half of DE, draw an arc. Step 3: With D as centre and the same radius, draw another arc…

Card 4Construction of angles

Why must the radius in angle bisection be more than half of DE?

Answer

Step 1: The arcs from D and E must intersect. Step 2: If the radius is equal to or less than half of DE, the arcs may not meet. Step 3: Without an intersection point, the bisector cannot be drawn. So …

Card 5Construction of angles

Construct an angle of 60 degrees. What is the final angle formed?

Answer

Step 1: Draw OA. Step 2: With O as centre, draw an arc cutting OA at B. Step 3: With B as centre and the same radius, draw another arc cutting the first arc at C. Step 4: Join OC and produce it to D.

Card 6Construction of angles

Construct an angle of 90 degrees. What is the final angle formed?

Answer

Step 1: Draw OA. Step 2: With O as centre, draw an arc cutting OA at B. Step 3: With B as centre and the same radius, draw an arc cutting the first arc at C. Step 4: With C as centre, draw another arc…

Card 7Construction of angles

How is a 45 degrees angle constructed?

Answer

A 45 degrees angle is made by bisecting a 90 degrees angle. Step 1: Construct a 90 degrees angle. Step 2: Draw its angle bisector. Step 3: Each part is equal. So each angle formed is 45 degrees.

Card 8Construction of angles

Why does bisecting a 90 degrees angle give 45 degrees?

Answer

Step 1: A 90 degrees angle is a right angle. Step 2: Bisecting means dividing into two equal parts. Step 3: 90 degrees divided by 2 = 45 degrees. So, bisecting a 90 degrees angle gives two equal angle…

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Frequently Asked Questions

What are the important topics in Constructions for ICSE Class 7 Mathematics?
Key topics in Constructions include Construction of Angles, Special Constructions, Construction of Triangles, Isosceles and Equilateral Triangles. Study these first, then practise questions on each for Class 7 exams.
How many flashcards are available for Constructions?
There are 31 flashcards for Constructions covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Constructions for Class 7 exams?
Learn the core ideas first, then work through the 54 practice questions on Constructions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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