If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
1 answer:
Answer:
POSTULATE
Step-by-step explanation:
<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>
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<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>
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<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>
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<em> They are presumed true by most of the scholars in the field. </em>
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<em>Its contradiction goes against the very essence of the subject. </em>
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<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>
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<em>See Attachment for Details ^^</em>
<em>The image attached represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>
<em>Therefore</em><em>, </em>
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<em>The Geometry term that represents the statement above is POSTULATE</em>
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Answer:
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m):
m =
=
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 = (x - 1)
y - 2 = +
y = +
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___ +
8 ___ +
8 ___
8 >
so ≤ makes the statement False
⇒ y ≤ +
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If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above: