Through construction we have seeri that SSS congruency rule hold. This theorem can be proved using a suitable construction.

Through this experiment we can prove that

Through this picture we can prove that

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.

Prove that triangleAOB~=triangleCOD by using SAS congruency rule.

A solid 'X' when heated evolves a colourless gas which does not support combustion. The residue is dissolved in water to form 'Y' which can be used during construction and white washing. When excess carbon dioxide is bubbled through the solution of 'Y' , compound 'Z' is formed. When 'Z' is heated gently, 'X' is reformed. Identify 'X' and discuss the reactions.

For a spontaneous reaction, the free energy change must be negative. DeltaG=DeltaH-TDeltaS is the enthalpy change during the reaction. T is absolute temperature, and AS is the change in entropy during the reaction. Consider a reaction such as the formation ofan oxide . M+O_(2) MO Dloxygen is used wp in the course of this reaction. Gases have a more random structure (less ordered) than liquid or solids consequently gases have a higher entropy than liquids and solids, in this reaction (entropy or randomness) decreases, hence is negative. Thus, the temperature is raised the DeltaS becomes more negative. Since, TDeltaS is subtracted in the equation, then SG becomes less negative. Thus, the free energy changes increases with the increase in temperature. The free energy changes that occur when one mole of common reactant in this case dioxygen) is we may e plotted graphically against temperature for a number of reactions of metals to their oxides. The following plot is called an Ellingham diagram for metal oxide. Understanding of Ellingham diagram is extremely important for the efficient extraction of metals. Which of the following elements can be prepared by heating the oxide above 400^(@)C ?

Prove that a line drawn through the mid-point of one side of a Triangle parallel to another side bisects the third side (Using Basic proportionality theorem).

In Tamil Nadu each and every person who wants to build the house has to promise that they will store rain water. Then only they will get permission for construction. Write your assumptions on why we have to store water.

Prove that an equilateral triangle can be constructed on any given line segment.