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The co-ordinate diagram below shows the lines n, p, r, and s - Junior Cycle Mathematics - Question 5 - 2015

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Question 5

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The co-ordinate diagram below shows the lines n, p, r, and s. The table shows the equation of each line. (a) Write the letters n, p, r, and s into the table to matc... show full transcript

Worked Solution & Example Answer:The co-ordinate diagram below shows the lines n, p, r, and s - Junior Cycle Mathematics - Question 5 - 2015

Step 1

Write the letters n, p, r, and s into the table to match each line to its equation.

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Answer

EquationLine
y = 2x - 4r
y = xn
y = -xs
y = 2x + 4p

Step 2

You can use a translation to map the line p or r onto the line r or p.

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Answer

The line p can be translated onto the line r.

Step 3

You can use an axial symmetry in the y-axis to map the line n or s onto the line s or n.

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Answer

The line n can be mapped onto the line s via axial symmetry in the y-axis.

Step 4

The line s or n is mapped onto itself under central symmetry in the point (0, 0).

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Answer

The line s is mapped onto itself under central symmetry in the point (0, 0).

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