![]() Step 2: Construct the triangle ASF with AF = 1.8 cm and SF = 4 cm. Let us construct a quadrilateral ASDF with AS = 2.3 cm, SD = 2.6 cm, DF = 1.5 cm, AF = 1.8 cm, and SF = 4 cm.įirst, let us draw a rough sketch of the required quadrilateral. Next, construct the triangle that will be formed by the other two adjacent sides and the diagonal.Construct the triangle that will be formed by the two adjacent sides and the diagonal on one side of the diagonal, using the SSS construction criterion.Let us draw a rough sketch of the quadrilateral DEFG that we must construct. In other words, it should be a rough sketch of the actual quadrilateral we will be constructing. This figure should be a close approximation of the required quadrilateral. Before we start constructing, we must first represent the given quadrilateral with a figure. The quadrilateral DEFG, should have sides DE = 3.2 cm, EF = 3 cm, FG = 2.8 cm, DG = 2.5 and diagonal DF = 4 cm.Īny problem or situation in Geometry can be represented using a relevant figure. We can also construct special quadrilaterals such as square, rectangle, parallelogram, or rhombus.Ĭonsider the following conditions to construct a quadrilateral DEFG. Three sides and the two given included angles. Two adjacent sides and the given three angles. The following combinations of elements will be required to construct a unique quadrilateral: This means, to construct the desired quadrilateral, we need the measurement of at least 5 elements. ![]() So, along with the four sides, it would have been better if we knew the measure of one of the angles to get the quadrilateral we want. To construct a unique quadrilateral, we need to know another measure such as that of an angle.With the same measures of the sides, we can create different quadrilaterals.
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