In the construction of quadrilateral ABCD, AB, BC, CD, AC and BD are given. Which of the following triangles cannot be drawn as the first step of construction?

ABC

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ADC

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BCD

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ABD

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Solution

The correct options are
B
ADC

D
ABD

As no angles are given, we need to know all three sides to construct a triangle. Thus, triangle ADC and ABD cannot be constructed as first step because side AD’s length is not known.

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Similar questions

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(a) AC + AD = BD + CD

(b) AB + CD = BC + AD

(c) AB + CD = AC + BC

(d) AC + AD = BC + DB

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In the construction of quadrilateral ABCD, AB, BC, CD, AC and BD are given. Which of the following triangles cannot be drawn as the first step of construction?

The correct options are B ADC D ABD As no angles are given, we need to know all three sides to construct a triangle. Thus, triangle ADC and ABD cannot be constructed as first step because side AD’s length is not known.

The correct options are
B
ADC

D
ABD

As no angles are given, we need to know all three sides to construct a triangle. Thus, triangle ADC and ABD cannot be constructed as first step because side AD’s length is not known.