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505-555 (Easy)|   Geometry|      
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Bunuel
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 01:13
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

80% (01:11) correct 20% (01:36) wrong based on 131 sessions

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Competition Mode Question




In the figure shown, ABCD is a trapezium. What is the value of x?


A. \(\frac{-11}{3}\)

B. -2

C. 2

D. 3

E. 11

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C
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 01:20
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Explanation:

Using Property of diagonals of Trapezium,
AO/OC = BO/OD
2/2 = 3/(5-x)
5-x=3
x=2

IMO-C
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 01:21
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∆ABO and ∆DOC are similar triangle because
AB and CD are parallel by property of Trapezium
i.e.
Angle AOB = angle DOC
Angle BAO = angle OCD
Angle ABO = angle ODC

Ratio of corresponding sides (sides opp to equal angles) are equal in case of similar triangle

i.e. AO / OC = BO / OD

i.e. 2 / 2 = 3 / (5-x)

i.e. (5-x) = 3

i.e. x = 2

Answer: Option C
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 04:24
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https://www.youtube.com/watch?reload=9&v=DtRN-bFQPIA

OA/OC=OB/OD
2/2=1=3/(5-x) -->x=2

FINAL ANSWER IS (C)
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 05:40
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Triangle BOA & DOC are similar
--> \(\frac{DO}{BO} = \frac{OC}{OA}\)
-->\(\frac{5 - x}{3} = \frac{2}{2} = 1\)
--> \(5 - x = 3\)
--> \(x = 2\)

Option C
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 06:04
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Solution



Given
    • ABCD is a trapezium.

To find
    • The value of x

Approach and Working out

    • △AOB and △COD are similar triangles.
      o So, AO/CO=BO/DO
      o 2/2= 3/5-x
      o 3/5-x=1
      o 5-x=3
      o x=2

Hence, option C is the correct answer.

Correct Answer: Option C
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 10:41
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digonal ratio has to be same as angles of ∆ are same
so
OA/OC = OB/OD
2/2 = 3/5-x
x= 2
IMO C
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 16:29
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From the properties of a trapezium and the figure above,
AB/DC = OB/DO = AO/OC
But AO=2, OC=2, OB=3, and DO=5-x
Hence 2/2 = 3/(5-x)
so 10-2x=6
Hence x=2

The answer is C.
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 19:23
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is the answer C, since one side is 2 and other side is 5. so by symmetry that side should be 3?
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In the figure shown, ABCD is a trapezium. What is the value of x? 31 Jan 2020, 22:52
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Triangle BOA and DOC are similar triangles

\(\frac{DO}{BO} =\frac{ OC}{OA}\)
\(\frac{(5 - x)}{3} = 1\)
\(5 - x = 3\)
\(x = 2\)


Option C
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In the figure shown, ABCD is a trapezium. What is the value of x? 02 Feb 2020, 05:59
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A0/0C = BO/OD

2/2=3/5-X


X = 2
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In the figure shown, ABCD is a trapezium. What is the value of x? 02 Feb 2020, 20:58
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Triangle AOB and triangle DOC — similar triangles
Features of them:
—>\(\frac{AO}{OC}=\frac{ BO}{OD}\)

\(\frac{2}{2}= \frac{3}{(5–x) }\)
5–x = 3
—> x= 2

The answer is C

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In the figure shown, ABCD is a trapezium. What is the value of x? 08 Jan 2022, 01:25
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