Advertisements
Advertisements
Question
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.
Advertisements
Solution
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
RELATED QUESTIONS
How many lines can be drawn through a given point.
In how many points a line, not in a plane, can intersect the plane?
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
‘Lines are parallel, if they do not intersect’ is stated in the form of ______.
The statements that are proved are called axioms.
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠ABC = ∠ACB, ∠3 = ∠4. Show that ∠1 = ∠2.
In the following figure AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.
The following statement is true or false? Give reason for your answer.
A terminated line can be produced indefinitely on both the sides.
