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Class 6

Chapter 8: Playing with Constructions

Using just a ruler and a compass, we can draw exact figures. Two figures that have the same shape and size are called congruent.

Learning outcomes

  • Construct basic figures with ruler & compass
  • Reason about congruence

Activities

  • Construct an equilateral triangle

Worked examples

Read through these first, then try the practice below.

  1. Example 1 — Equilateral triangle

    How many sides of an equilateral triangle are equal?

    Solution: All three sides are equal in length.

  2. Example 2 — Congruence test

    Two triangles each have sides of 5 cm, 6 cm and 7 cm. Are they congruent?

    Solution: Yes — three pairs of equal sides (SSS) means the triangles are congruent.

Self-do practice

Question 1 of 3 · Score 0/0

Which tool draws perfect circles for constructions?

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