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Which proportionally theorem is described by a line parallel to one side of a triangle divides the other two sides?
The theorem you are referring to is the Basic Proportionality Theorem, also known as Thales' Theorem. It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on those two sides are in the same ratio as the lengths of the sides of the triangle.
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
What is parallel axis theorem?
The parallel axis theorem is a principle in physics and engineering that allows the calculation of the moment of inertia of a rigid body about any axis parallel to an axis through its center of mass. It states that the moment of inertia ( I ) about the new axis is equal to the moment of inertia ( I_{cm} ) about the center of mass axis plus the product of the mass ( m ) of the body and the square of the distance ( d ) between the two axes: ( I = I_{cm} + md^2 ). This theorem is particularly useful in rotational dynamics for analyzing systems with complex shapes.
What is the mid segment theorem?
The midsegment theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half that of the third side. This theorem helps establish relationships between the sides of triangles and is useful in various geometric proofs and constructions. By identifying midpoints and applying the midsegment theorem, one can simplify complex geometric problems.
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 :)
