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State whether each pair of shapes is similar or congruent:
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2.1 Use the following triangles to answer the questions that follow:
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2.1.1 Which triangle is isosceles? A, B or C? Triangles A and B have two equal sides, making them isosceles. Answer:
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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:
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2.1.3 Which triangle has a right angle? Triangle B has a right angle, indicated by the square symbol. Answer:
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2.1.4 Which triangle has 2 sides that are equal? Triangles A and B both have two sides of equal length. Answer:
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2.1.5 Which triangle has 3 sides that are not equal? Triangle C has three sides of different lengths. Answer:
2.2 Complete the table below:
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2.2.1 Four sides equal in length Answer:
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2.2.2 Opposite sides equal in length Answer:
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2.2.3 Only one pair of the opposite sides parallel Answer:
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2.2.4 All four interior angles are 90 degrees Answer:
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2.2.5 Two pairs of opposite sides parallel Answer:
2.3 State whether each pair of shapes is similar or congruent:
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(a) Two stars The stars have the same shape but different sizes. Answer:
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(b) Two triangles The triangles have the same shape and appear to be the same size. Answer:
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(c) Two trapezoids The trapezoids have the same shape but different sizes. Answer:
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(d) Two circles The circles have the same shape but different sizes. Answer:
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