Question
What is the last step in constructing quadrilateral with 3 sides and 2 included angles given?
Answer: Option A
:
A
Suppose, we have to draw a quadrilateral. The length of three given sides are 'a' units, 'b' units and 'c' units. The measure of two given angles is α and β.
The first step is to construct a line segment AB = 'a' units. Taking AB as the base, we construct a line making an angle α with the line segment AB. We cut the line by an arc of length 'b' units taking B as center and mark point where arc cuts the line as C.
Taking BC as the base, we construct a line making an angle β with the line segment BC.We cut the line by an arc of length 'c' units taking C as center and mark point where arc cuts the line as D.
The final step is to join A and D to complete the quadrilateral ABCD.
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:
A
Suppose, we have to draw a quadrilateral. The length of three given sides are 'a' units, 'b' units and 'c' units. The measure of two given angles is α and β.
The first step is to construct a line segment AB = 'a' units. Taking AB as the base, we construct a line making an angle α with the line segment AB. We cut the line by an arc of length 'b' units taking B as center and mark point where arc cuts the line as C.
Taking BC as the base, we construct a line making an angle β with the line segment BC.We cut the line by an arc of length 'c' units taking C as center and mark point where arc cuts the line as D.
The final step is to join A and D to complete the quadrilateral ABCD.
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