Question

Draw a quadrilateral LIFT, when LI = $4.0cm$, IF=$3.0cm,\,\,TI = 4cm$, $LF = 4.5cm\,\,and\,\,LT = 2.5cm.$

Answer 1

Hint: To draw construction of any figure, one must draw a rough figure with naming and mark according to given measurements. After that for quadrilateralS if a diagonal is given then we must start the construction with that diagonal and proceed with that triangle in which all sides are known and so on to complete construction.


Complete step-by-step answer:
To draw required construction of a quadrilateral we first draw a rough diagram for quadrilateral LIFT.

From a rough figure we see that all parts of triangle LFI are known therefore, we start with drawing a diagonal Lf.
i.First draw a line segment of length and name it as LF.

ii.Now, from Initial L mark an arc of radius and from initial F mark an arc of radius and where these two arcs meet name it as initial I.

iii.Now, from initial I mark an radius of and an arc of radius from L where these two arcs meet name it as initial T.

iv.Join initial T and F to complete a quadrilateral LIFT of given measurements.

v.Which is the required Quadrilateral LIFT required to construct.

Note: In geometry, a quadrilateral can be defined as a closed, two-dimensional shape which has four straight sides. The polygon has four vertices or corners. We can find the shape of quadrilaterals in various things around us, like in a chess board, a deck of cards, a kite, a tub of popcorn, a sign board and in an arrow.