Question

Which criteria is used when length of four sides and a diagonal is given to construct quadrilateral.​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

In construction of quadrilaterals we will learn how to construct a quadrilateral. We know that a quadrilateral has ten parts in all: four sides, four angles and two diagonals. To construct a quadrilateral, we shall need data about five specified parts of it.

We consider the following five cases and explain the construction in each case by an example. 

We divide the required quadrilateral into two triangles which can be easily constructed. 

These two triangles together will form a quadrilateral. 

I. Construction of quadrilaterals when four sides and one diagonal are given: 

1. Construct a quadrilateral ABCD in which AB = 4.8 cm, BC = 4.3 cm, CD = 3.6 cm, AD = 4.2 cm and diagonal AC = 6 cm. 

Solution:

Steps of Construction:



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Step 1: Draw AB = 4.8 cm.

Step 2: With A as center and radius equal to 6 cm, draw an arc.

Step 3: With B as center and radius equal to 4.3 cm, draw another arc, cutting the previous arc at C.

Step4: Join BC.

Step 5: With A as center and radius equal to 4.2 cm, draw an arc.

Step 6: With C as center and radius equal to 3.6 cm, draw another arc, cutting the previous arc at D.

Step 7: Join AD and CD.

Then, ABCD is the required quadrilateral.

Answer 2

Answer:

SSS criteria is used

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