The larger trapezium is made up of the four smaller trapeziums which are equal in size. If FD = 48 cm, then, select the statements that are true.

FE = ED

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DC = AB

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DC = 2AB

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FE = 24 cm

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Solution

The correct options are
A
FE = ED

B
DC = AB

D
FE = 24 cm

(i)Since the all the smaller trapeziums are congruent,

FE = ED = DC = AB [Bases of the trapeziums]

(ii)Since FE = ED [Longer parallel sides of the trapezium]

FE + ED = 48

2(FE) = 48

FE = 24 cm

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Similar questions

A B C D

is a trapezium in which

A B ∥ D C, A B = 16 c m

and

D C = 24 c m

. If

E

and

F

are respectively the midpoints of

A D

and

B C

, then

a r (A B F E) = \frac{9}{11} a r (E F C D)

If in the trapezium ABCD given above, AB is half of DC and also parallel to DC, then which of the following statements are correct?

Q. ABCD is a trapezium in which AB || CD, AB = 16 cm and DC = 24 cm. If E and F are respectively the midpoints of AD and BC, prove that ar(ABFE) =

\frac{9}{11}

ar(EFCD).

Q. In a trapezium ABCD, AB|| DC and DC = 2AB, FE drawn parallel to AB cuts AD in F and BC in E such that 4BE = 3EC. Diagonal DB intersects EF at G. Prove that 7FE = 10 AB. [4 MARKS]

A trapezium has an area of 570 cm². The height of the trapezium is 5 cm and the longer parallel side is twice the length of the shorter parallel side. Select the statements that hold true.

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The larger trapezium is made up of the four smaller trapeziums which are equal in size. If FD = 48 cm, then, select the statements that are true.

The correct options are A FE = ED B DC = AB D FE = 24 cm (i)Since the all the smaller trapeziums are congruent, FE = ED = DC = AB [Bases of the trapeziums] (ii)Since FE = ED [Longer parallel sides of the trapezium] FE + ED = 48 2(FE) = 48 FE = 24 cm

The correct options are
A
FE = ED

B
DC = AB

D
FE = 24 cm

(i)Since the all the smaller trapeziums are congruent,

FE = ED = DC = AB [Bases of the trapeziums]

(ii)Since FE = ED [Longer parallel sides of the trapezium]

FE + ED = 48

2(FE) = 48

FE = 24 cm