The diagram shows the plan for a sun room. It will be built on the terrace of a house. The five walls of the sunroom are clear glass panels. The roof is made using one tinted glass panel, a regular pentagon in shape. ABCD is one of the walls.
a) Find the mid-point of the segment joining the points C (6, 17) and D (9, 17).
(i) (17, 152)
(ii) (32, 12)
(iii) (152 , 17)
(iv) (12, 32)
b) Find the co-ordinates of the point which divides the line segment joining the points A(6, 8) and B( 9, 8) in the ratio 1:3 internally.
(i) (8.5,2.0)
(ii) (6.75,8)
(iii) (8,6.5)
(iv) (2.0,8.5)
c)The distance of the point C(6, 17) from the y-axis is
(i) 4
(ii) 6
(iii) 17
(iv) 25
d) The distance between the points A(6, 8) and C(6, 17) is
(i) 4
(ii) 6
(iii) 9
(iv) 2
e) The glass wall ABCD is a
(i) Square
(ii) Rectangle
(iii) Triangle
(iv) Pentagon
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Answer:
a-3
b-4
c-3
d-2
e-1
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