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
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?
perpendicular lines
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?
radius of a circle
If a point C lies between two points A and B such that AC = BC, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.
In how many points two distinct lines can intersect?
The side faces of a pyramid are ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
Euclid belongs to the country ______.
The statements that are proved are called axioms.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have X and Y are the mid-points of AC and BC and AX = CY. Show that AC = BC.

Read the following statement :
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
