Can you construct the quadrilateral PLAN if PL =6 cm, LA =9.5 cm `angleP=75^(@)angleL=15^(@)andangleA=140^(@)`.
(Draw a rough sketch in each case and analyse the figure)State the reason for your conclusion.

Can you construct the quadrilateral PLAN if PL = 6 cm, LA = 9.5 cm, /_P=75^@ /_L= 15^@ and /_A = 140^@ ? (Draw a rough sketch in each case and analyse the figurė). State the reasons for your conclusion.

Can you construct the quadrilateral PQRS, PQ =4 cm, QR = 4.8 cm, angleP = 75^@ , /_Q= 100^@ and angleR= 120^@ , if we have an angle of 100^@ at P instead of 75^@ ?Give reason.

Do you construct the given quadrilateral ABCD (with AB=5 cm, BC= 4.5 cm, CD = 6 cm, /_B = 100^@, /_C = 75^@ ) by taking BC as base instead of AB ? If so, draw a rough sketch and explain the various steps involved in the construction.

Can you construct a triangle ABC with BC = 6 cm, angleB=60^(@) and AB + AC = 5cm.? If not, give reasons.

Can you construct a triangle ABC with BC = 6 cm, angleB = 60^@ and AB + AC = 5 cm? If not, give reasons.

A student attempted to draw a quadrilateral PLAY given that PL =3 cm, LA=4 cm ,AY =4.5 cm, PY=2 cm and LY =6 cm. But he was not able to draw it why ? Try to draw the quadrilateral yourself and give reason.

Can you construct the given AC = 4.5 cm and BD = 6 cm quadrilateral (rhombus) taking BD as a base instead of AC ? If not give reason.

Construct a /_\ PET , PE = 4.5 cm, ET = 5.4 cm and TP = 6.5 cm in your notebook. Now construct /_\ ABC , AB = 5.4 cm ,BC = 4.5 cm and CA = 6.5 cm on a piece of paper. Cut it out and place it on the figure you have constructed in your notebook. Are the triangles congruent? Write your answer using mathematical notation.

Construct triangleABC , right angle at angleA and BC 6 cm, AB-5 cm.Step (1) Draw a line segment of P AB=5 cm.Step (2) Join, B, C to the required triangleABC . Step (3) Draw a rough sketch of triangleABC with given measurements. Step (4) Construct a ray bar(AX) perpendicular to AB at A.Step (5) Draw an are from B with radius 6cm to intersect bar(AX) at C.

Sushant prepared a problem. Construct /_\ XYZ in which XY =2 cm , YZ = 8 cm and XZ = 4 cm. He also drew the rough sketch as shown is figure (i).Reading the problem, Srija told Sushant that it would not be possible to draw the triangle with the given measurements. However, Sushant started to draw the diagram as shown in figure (ii). Check whether Sushant can draw the triangle. If not why? Discuss with your friends. What property of triangles supports Srija's idea?