The image of a point P reflected in the x- axis is (−3,2). The co-ordinates of P will be ?.
P(3,−2)
P(−3,2)
P(−3,−2)
P(3,2)
When a point is reflected in the x axis, the sign of its ordinate changes. Hence, the coordinates of P are (−3,−2).
A point P(3,−2) is reflected in the origin as P′. Point Q(−7,1) is reflected in the x- axis as Q′. Write down the co-ordinates of P′ and Q′.
A point P (a, b) is reflected in the x-axis to P' (2, 3). Write down the values of a and b. P" is the image of P, reflected in the y-axis. Write down the co-ordinates of P". Find the co-ordinates of P", when P is reflected in the line, parallel to y-axis, such that x = 4.
(i) Point P (a, b) is reflected in the x-axis to P' (5, -2). Write down the values of a and b.
(ii) P" is the image of P when reflected in the y-axis. Write down the co-ordinates of P".
(iii) Name a single transformation that maps P' to P".
The point P (5, 3) was reflected in the origin to get the image P'.
(a) Write down the co-ordinates of P'.
(b) If M is the foot of the perpendicular from P to the x-axis, find the co-ordinates of M.
(c) If N is the foot of the perpendicular from P' to the x-axis, find the co-ordinates of N.
(d) Name the figure PMP'N.
(e) Find the area of the figure PMP'N.