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The diagram below shows two rectangular sheets of paper, with sides of length 6 cm and 8 cm - Junior Cycle Mathematics - Question 1 - 2014

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Question 1

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The diagram below shows two rectangular sheets of paper, with sides of length 6 cm and 8 cm. Each sheet is cut in half along the dotted line, to form the pieces A, B... show full transcript

Worked Solution & Example Answer:The diagram below shows two rectangular sheets of paper, with sides of length 6 cm and 8 cm - Junior Cycle Mathematics - Question 1 - 2014

Step 1

Is the area of the rectangular piece A equal to the area of the triangular piece D?

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Answer

Yes, the area of the rectangular piece A is equal to the area of the triangular piece D.

Step 2

Reason:

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Answer

Each is half of the same rectangle.

Area of A = ( \frac{1}{2} \times (8 \times 6) = 24 \text{ cm}^2 ) and Area of D = ( \frac{1}{2} \times (8 \times 6) = 24 \text{ cm}^2 ).

Step 3

Draw all the axes of symmetry of the following rectangle.

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Answer

The rectangle has two vertical axes of symmetry and one horizontal axis of symmetry, resulting in four axes of symmetry in total.

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