Mathematics
Grade9
Easy
Question
Identify the pair of parallel lines.
- PR and EF
- XY and AB
- EF and XY
- AB and PR
Hint:
In this question, we have to find the parallel pair of lines. if the co-ordinates of line AB are A(-2,2) and B(3,2), EF are E(5,1) and F(3,-4), PR are P(-1,3) and R(-3,-2) and XY are X(-1,2) and Y(1,-3). Firstly we will calculate the slope of the lines. Later, we will the lines with same slope, as the lines with same slope will be the parallel lines.
The correct answer is: PR and EF
The co-ordinates of line AB are A(-2,2) and B(3,2), EF are E(5,1) and F(3,-4), PR are P(-1,3) and R(-3,-2) and XY are X(-1,2) and Y(1,-3).
Slope of line AB
Slope of line EF
Slope of line PR
Slope of line XY
As the slope of EF =Slope of PR
So, EF and PR are parallel lines.
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