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How did you know that the sum of the angles in a triangle is 180?
It is proven by a theorem (which relies on Euclid's parallel postulate).
what postulate or theorem guarantees that line L and line N are parallel?
converse of the corresponding angles postulate
is this statement true or falsethe converse of the alternate exterior angle theorem guarantees that line L and line n are parallel.?
true
What is an alternate interior angles theorem?
When a transversal line cuts through parallel lines it creates equal alernate angles and equal corresponding angles
Moment of inertia of parallel axis?
This is known as parallel axes theorem. Statement: If IG be the moment of inertia of a body of mass M about an axis passing through its centre of gravity, then MI (I) of the same body about a parallel axis at a distance 'a' from the previous axis will be given as I = IG + M a2
Why is millman's theorem called parallel generator theorem?
Because millman's is used in parallel ckt of impedances and voltage sources
What is the Opposite Sides Parallel and Congruent Theorem?
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
Which lines or segments are parallel justify your answer with a theorem or postulate?
Parallel lines are parallel. Proof they have same slopes
What are the advantages of Norton's theorem?
It is used to reduce the complexitiy of the networkAnswerNorton's Theorem is one of several theorems necessary to solve 'complex' circuits -i.e. circuits that are not series, parallel, or series parallel.
Which theorem guarantees that lines are parallel in the following construction?
3.1 or alternate interior angles ....then the lines are parallel
What is the difference between a theorem and postulate?
Postulates are assumed to be true and we need not prove them. They provide the starting point for the proof of a theorem. A theorem is a proposition that can be deduced from postulates. We make a series of logical arguments using these postulates to prove a theorem. For example, visualize two angles, two parallel lines and a single slanted line through the parallel lines. Angle one, on the top, above the first parallel line is an obtuse angle. Angle two below the second parallel line is acute. These two angles are called Exterior angles. They are proved and is therefore a theorem.
How did you know that the sum of the angles in a triangle is 180?
It is proven by a theorem (which relies on Euclid's parallel postulate).
what- By which of the following methods was parallel line n constructed?
converse of the alternate exterior angles theorem
What is the midpoint theorem?
Triangle Midpoint Theorem: The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
what postulate or theorem guarantees that line L and line N are parallel?
converse of the corresponding angles postulate
Proof for the midpoint theorem 7.5?
The midpoint theorem says the following: In any triangle the segment joining the midpoints of the 2 sides of the triangle will be parallel to the third side and equal to half of it
Which of the following is defined by a line parallel to one side of a triangle divides the other two sides proportionally?
Converse of the triangle proportionality theorem APEX :)
