Advertisements
Advertisements
प्रश्न
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.
Advertisements
उत्तर
Given, AC = DC ...(i)
And C6 = CE ...(ii)
According to Euclid’s axiom, if equals are added to equals, then wholes are also equal.
So, on adding equation (i) and (ii), we get
AC + CB = DC + CE
⇒ AB = DE
APPEARS IN
संबंधित प्रश्न
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
line segment
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
square
If a point C lies between two points A and B such that AC = BC, then prove that AC = `1/2` AB. Explain by drawing the figure.
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)
In how many lines two distinct planes can intersect?
How many planes can be made to pass through two points?
Boundaries of surfaces are ______.
The edges of a surface are curves.
The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.
