Using a graph paper, plot the points A(6,4) and B(0,4).
(1) Reflect A and B in the origin to get the images A' and B'.
(2) Write the co-ordinates of A' and B'.
(3) State the geometrical name for the figure ABA' B'.
(4) Find its perimeter.
Use graph paper for this question (Take 2 cm = 1 unit along both x and y-axis). ABCD is a quadrilateral whose vertices are A(2, 2), B(2, –2), C(0, –1) and D(0, 1).
1) Reflect quadrilateral ABCD on the y-axis and name it as A'B'CD
2) Write down the coordinates of A' and B'.
3) Name two points which are invariant under the above reflection
4) Name the polygon A'B'CD
In the given figure ABCD is a rectangle. It consists of a circle and two semi-circles each of
which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to
three significant figures
A line AB meets the x-axis at point A and y-axis at point B. The point P(−4, −2) divides the line segment AB internally such that AP : PB = 1 : 2, Find:
(i) the co-ordinates of A and B
(ii) equation of line through P and perpendicular to AB.
Point A and B have Co-ordinates (7, −3) and (1, 9) respectively. Find:
(i) the slope of AB
(ii) the equation of perpendicular bisector of the line segment AB.
(iii) the value of ‘p’ of (-2, p) lies on it.
(1, 5) and (-3, -1) are the co-ordinates of vertices A and C respectively of rhombus ABCD. Find
the equations of the diagonals AC and BD.
A straight line passes through the points P (-1, 4) and Q (5, -2). It intersects the co-ordinate axes at points A and B. M is the mid-point of the segment AB . Find:
(i) The equation of the line
(ii) The co-ordinates of A and B.
(iii) The co-ordinates of M.