Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A craft activity asks students to construct a square on a given side ABAB, as shown in the figure.
Total: 3 marks

(a) Name the given side. (1 mark)

(b) State one property that must hold at each corner of the square. (1 mark)

(c) Why should the construction steps be justified by accepted geometric rules? (1 mark)

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cbse-math-9.u4.t4-1.case.005

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