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Line, Ray and Line Segment

In the figure...

Question

In the figure, △𝐀𝐁𝐂, 𝐃, 𝐄, 𝐅 are the midpoints of sides 𝐁𝐂, 𝐂𝐀 and 𝐀𝐁 respectively. The ratio of 𝐚𝐫(𝐁𝐃𝐄𝐅) and 𝐚𝐫(△𝐀𝐁𝐂) is _____.

A

1:4

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B

1:2

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C

2:1

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D

4:1

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Solution

The correct option is B 1:2
The correct option is C.

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Similar questions

Q. Assertion (A)
If two towers of height h₁ and h₂ subtend angles of 60° and 30° respectively at the midpoint of the line joining their feet, then h₁ : h₂ = 3 : 1.

Reason (R)
Figure
In the given figure, we have:

\frac{h_{1}}{x} = \tan 60 ° and \frac{h_{2}}{x} = \tan 30 °

(a) Both Assertion (A) and Reason (R) are true and (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Q. △𝐀𝐁𝐂 and parallelogram 𝐀𝐁𝐄𝐅 are on the same base, 𝐀𝐁 as in between the same parallels 𝐀𝐁 and 𝐄𝐅. Prove that 𝐚𝐫(△𝐀𝐁𝐂) =

\frac{1}{2}

𝐚𝐫(∥𝐠𝐦 𝐀𝐁𝐄𝐅).

Q. In the figure, area of parallelogram is

64 m^{2} .

Its sides are 16 m and 8 m. Find the height

h_{1}

h_{2} .

In figure, area of parallelogram is

64 m^{2} .

Its sides are 16 m and 8 m.Find the height

h_{1} a n d h_{2} .

Q. If 𝐄, 𝐅, 𝐆 and 𝐇 are respectively the midpoints of the sides 𝐀𝐁, 𝐁𝐂, 𝐂𝐃 and 𝐀𝐃 of a parallelogram 𝐀𝐁𝐂𝐃, show that 𝐚𝐫(𝐄𝐅𝐆𝐇) = 𝟏/𝟐 𝐚𝐫(𝐀𝐁𝐂𝐃).

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