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State whether each pair of shapes is similar or congruent:

Mathematics

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2.1 Use the following triangles to answer the questions that follow:

  • 2.1.1 Which triangle is isosceles? A, B or C? Triangles A and B have two equal sides, making them isosceles. Answer: A and B\boxed{\text{A and B}}

  • 2.1.2 What is the name of the triangle which 3 sides that are equal in length? A triangle with three equal sides is an equilateral triangle. Answer: Equilateral triangle\boxed{\text{Equilateral triangle}}

  • 2.1.3 Which triangle has a right angle? Triangle B has a right angle, indicated by the square symbol. Answer: B\boxed{\text{B}}

  • 2.1.4 Which triangle has 2 sides that are equal? Triangles A and B both have two sides of equal length. Answer: A and B\boxed{\text{A and B}}

  • 2.1.5 Which triangle has 3 sides that are not equal? Triangle C has three sides of different lengths. Answer: C\boxed{\text{C}}

2.2 Complete the table below:

  • 2.2.1 Four sides equal in length Answer: Rhombus\boxed{\text{Rhombus}}

  • 2.2.2 Opposite sides equal in length Answer: Parallelogram\boxed{\text{Parallelogram}}

  • 2.2.3 Only one pair of the opposite sides parallel Answer: Trapezium\boxed{\text{Trapezium}}

  • 2.2.4 All four interior angles are 90 degrees Answer: Rectangle\boxed{\text{Rectangle}}

  • 2.2.5 Two pairs of opposite sides parallel Answer: Parallelogram\boxed{\text{Parallelogram}}

2.3 State whether each pair of shapes is similar or congruent:

  • (a) Two stars The stars have the same shape but different sizes. Answer: Similar\boxed{\text{Similar}}

  • (b) Two triangles The triangles have the same shape and appear to be the same size. Answer: Congruent\boxed{\text{Congruent}}

  • (c) Two trapezoids The trapezoids have the same shape but different sizes. Answer: Similar\boxed{\text{Similar}}

  • (d) Two circles The circles have the same shape but different sizes. Answer: Similar\boxed{\text{Similar}}

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