Advertisements
Advertisements
Question
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is ______.
Options
First Axiom
Second Axiom
Third Axiom
Fourth Axiom
Advertisements
Solution
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is second Axiom.
Explanation:
The Euclid’s axiom that illustrates the given statement is second axiom, according to which. If equals are added to equals, the wholes are equal.
APPEARS IN
RELATED QUESTIONS
In how many lines two distinct planes can intersect?
The number of dimensions, a solid has ______.
Boundaries of surfaces are ______.
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for ______.
Which of the following needs a proof?
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
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 AB = BC, BX = BY. Show that AX = CY.
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.
