Explanation: as soon as two planes intersect in Euclidean Geometry, your intersection is a line, no a point.

You are watching: Which statement is not one of the axioms of euclidean geometry?



The price is (D).

Step-by-step explanation: We are given four statements and we to examine which one is not an axiom of Euclidean geometry.

A. Given any type of two points, over there is precisely one line that contains them. This is true and also is one of the axioms the Euclidean geometry.

B. Every airplane contains at least three point out that do not lie on the exact same line. This is true and also is among the axioms of Euclidean geometry.

C. If two points lie in a plane, the line containing this points likewise lies in the plane. This is additionally true and is among the axioms that Euclidean geometry.

D. If two planes intersect, your intersection is a point. This explain is false, due to the fact that the intersection of two intersecting plane is constantly a line, no a point. Hence, the is no an axiom the Euclidean geometry.

Thus, the correct alternative is D.



Answer from: FlayMaster101

Answer through Explanation

Axioms are Intuitive, Instinctional .They can"t be proved . They space universally true.

Option B is true, that is if 2 planes intersect, then their intersection is a line.

Option C, is additionally true, that if a line lies on a airplane it will At least pass v two point out on the plane.

Option D,if there room two points,only a distinctive line passes through them.Because to recognize a line we need two various unique points.

So, alternative 1,appears incorrect,which states that ,In space, there space at least 4 points that space not in the very same plane.

*


Answer from: 76022sfox

D. If 2 planes intersect, their intersection is a point.

Step-by-step explanation:

Let"s verify the price choices:

A. Given any two distinct points, over there is exactly one heat that has them.

Yes, correct

B. Every airplane contains at the very least three point out that do not lied on the same line.

Yes, correct

C. If two points lie in a plane, the line containing this points also lies in the plane.

Yes, correct

D. If 2 planes intersect, their intersection is a point.

No, incorrect. The intersection of the levels is a line.

Answer from: parosil

if 2 points lied in a aircraft , the heat containing this points additionally lies in the plane.- c.


Answer from: andersonmm22

missing info my dude

Step-by-step explanation:


Answer from: martinbricein10

the answers c


Answer from: 222364

The correct answer is D If two planes intersect, their intersection is a point

Step-by-step explanation:

When two planes intersect in Euclidean Geometry, their intersection is a line, no a point. As a result, D is the only one the is no true.


Answer from: dbn4everloved

The exactly answer is D. If 2 planes intersect, your intersection is a point.

Step-by-step explanation:

When two planes intersect in Euclidean Geometry, their intersection is a line, no a point. Together a result, D is the only one the is not true.


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