Page 231 - Start Up Mathematics_8 (Non CCE)

T S
2. In a trapezium MUST, TS || MU. The perimeter of the trapezium is
48 cm. If one of the parallel sides is twice the other and the sum of
the two non-parallel sides is 21 cm, find the two parallel sides. M U
3. SIDE is a kite in which diagonals SD and EI intersect E
at point O. Give reasons for the following:
(a) ES = ED (b) IS = ID S D N
(c) ∠EDI = ∠ESI (d) ∠DEO = ∠SEO O 3x – 5 22
4. TURN is a kite in which diagonals TR and NU intersect at
point O. Find the value of x and y. T O R
5. In the given trapeziums, find the value of x and y.
I
K x C (b) B E 33 7y – 2
(a)
130° 110° y

U
y 90° x 50°
P I R A

MATHS LAB ACTIVITY
Objective: To make a kite by paper folding and cutting

Material required: Coloured paper, broomsticks, a pair of scissors, glue stick/fevicol
Step 1: Take a coloured sheet of paper [Fig. (i)].
Step 2: Fold one corner of the paper along the diagonals so that the opposite side covers it completely [Fig. (ii)].
Step 3: You get a triangle. Cut the extra part below the triangle and separate it [Fig. (iii)].
Step 4: Now open the triangle-shaped portion to get the square KITE [Fig. (iv)].

K I

T
E T
(i) (ii) (iii) (iv)
Step 5: Keep the square in vertical position with vertex K at the top [Fig. (v)].
Step 6: Take a broomstick and cut it equal to the length of diagonal KT and paste it on KT [Fig. (vi)].
Step 7: Take another broomstick of length equal to one and half time of EI. Paste it on EI as shown in
the figure [Fig. (vii)].
Step 8: Now cut a small triangle of some other coloured paper and paste it at T [Fig. (viii)].

K K K K

E I
E I E I E I
T

T T T T
(v) (vi) (vii) (viii)
The kite is ready. Tie a thread and fly it.

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