The diagrams show the plans for a sun room. It will be built onto the wall of a house. The four walls of
the sunroom are square clear glass panels. The roof is made using
 • Four clear glass panels, trapezium in shape, all the same size
 • One tinted glass panel, half a regular octagon in shape
A
B
Not to scale
A B
Y
C D
J H
G E
F
A
B
P R S
1 cm
Q
Top view
Front view
O X
I
Scale 1 cm = 1 m
(i) Refer to Top View
Find the mid-point of the segment joining the points J (6, 17) and I (9, 16).
(a) 33 15 , 2 2 (b) 3 1,
2 2 (c) 15 33 , 2 2 (d) 1 3,
2 2
(ii) Refer to Top View
The distance of the point P from the y-axis is
(a) 4 (b) 15 (c) 19 (d) 25
(iii) Refer to Front View
The distance between the points A and S is
(a) 4 (b) 8 (c) 16 (d) 20
(iv) Refer to Front View
Find the co-ordinates of the point which divides the line segment joining the points A and B in the ratio
1:3 internally.
(a) (8.5, 2.0) (b) (2.0, 9.5) (c) (3.0, 7.5) (d) (2.0, 8.5)
(v) Refer to Front View
If a point (x, y) is equidistant from the Q(9, 8) and S(17, 8), then
(a) x y = 13 (b) x – 13 = 0 (c) y – 13 = 0 (d) x – y = 13
18. Case Study Based- 2
 SCALE FACTOR AND SIMILARITY
 SCALE FACTOR
 A scale drawing of an object is the same shape as the object but a different size.
 The scale of a drawing is a comparison of the length used on a drawing to the length it represent