Advertisements
Advertisements
Question
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
Advertisements
Solution
Given, ∠1 = ∠2 ...(i)
And ∠2 = ∠3 ...(ii)
According to Euclid’s axiom, things which are equal to the same thing are equal to one another.
From equations (i) and (ii),
∠1 = ∠3
APPEARS IN
RELATED QUESTIONS
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
How many lines can be drawn through a given point.
In how many points a line, not in a plane, can intersect the plane?
In how many lines two distinct planes can intersect?
How many least number of distinct points determine a unique plane?
Euclid divided his famous treatise “The Elements” into ______.
In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio ______.
Euclid belongs to the country ______.
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.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.
