Read the Source/Text given below and
answer any four questions:
|
Sohan wants to show gratitude towards
his teacher by giving her a card made by
him. He has three pieces of trapezium
pasted one above the other as shown in
fig. These pieces are arranged in a way
that AB || HC I| GD | FE. Also BC=CD=DE
and AH=HG=GF=6 cm. He wants to
decorate the card by putting up a
colored tape on the nonparallel sides of
the trapezium.
i. Find the total length of colored
tape required if DE = 4cm
a. 20 cm
b. 30 cm
C. 40 cm
d. 50 cm
ii. ABHC is a trapezium in which AB ||
HC and A = 2B = 45°. Find angles
C and H of the trapezium.
a. 135, 130
b. 130, 135
C. 135, 1355
d. 130,130
ii. What is the difference between
trapezium and parallelogram?
a. Trapezium has 2 sides, and
parallelogram has 4 sides
b. Trapezium has 4 sides, and
parallelogram has 2 sides
c. Trapezium has 1 pair of
parallel sides, and
parallelogram has 2 pairs of
parallel sides
d. Trapezium has 2 pairs of
parallel sides, and
parallelogram has 1 pair of
parallel sides
iv. Diagonals in isosceles trapezoid
are.
a. parallel
b. opposite
C. vertical
equal
v. ABCD is a trapezium where
AB|IDC, BD is the diagonal and E is
the midpoint of AD. A line is drawn
through E paralle! to AB
intersecting BC at F. Which of
these is true?
a. BF = FCC
b. EA = FB
c. CF DE
d. None of these
Answers
Given : Sohan wants to show gratitude towards his teacher by giving her a cardmade by him.
He has three pieces of trapezium pasted one above the other as shown in the fig.
These pieces are arranged in a way that AB || HC || GD || FE.
Also BC=CD=DE and GF=6 cm. DE = 4 cm
He wants to decorate the card by putting up a coloured tape on non parallel sides of trapezium.
To Find : the total length of coloured tape required
Solution:
AB || HC || GD || FE.
AH/GH = BC/CD
HG/GF = CD/DE
BC=CD=DE = 4 cm
=> AH = HG = GF = 6 cm
non parallel sides of trapezium. = AF + BE
= AH + HG + GF + BC + CD + DE
= 6 + 6 + 6 + 4 + 4 + 4
= 30 cm
total length of coloured tape required = 30 cm
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