Advertisements
Advertisements
Question
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have BX = `1/2` AB, BY = `1/2` BC and AB = BC. Show that BX = BY.
Advertisements
Solution
Given, BX = `1/2` AB
⇒ 2BX = AB ...(i)
BY = `1/2` BC
⇒ 2BY = BC ...(ii)
And AB = BC ...(iii)
On putting the values from equations (i) and (ii) in equation (iii), we get
2BX = 2BY
According to Euclid’s axiom, things which are double of the same things are equal to one another.
BX = BY
APPEARS IN
RELATED QUESTIONS
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
In how many points two distinct lines can intersect?
Given three distinct points in a plane, how many lines can be drawn by joining them?
How many planes can be made to pass through two points?
In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio ______.
Greek’s emphasised on ______.
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for ______.
Euclid stated that all right angles are equal to each other in the form of ______.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
