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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
Is there any Converse of intercept theorem?
Yes, the Converse of the Intercept Theorem states that if two lines are intersected by a pair of parallel lines, then the segments formed on the intersected lines are proportional. In other words, if two lines are cut by a pair of parallel lines and the segments created on one line are proportional to the segments created on the other line, then the lines must be parallel. This theorem is particularly useful in geometry for proving the parallelism of lines based on segment ratios.
Which lines if any must be parallel based on the given information Given angle 3 is congruent to angle 13?
If angle 3 is congruent to angle 13, it suggests that the lines forming these angles are parallel based on the Alternate Interior Angles Theorem. This theorem states that if a transversal intersects two lines and the alternate interior angles are congruent, then the two lines are parallel. Therefore, the lines that form angles 3 and 13 must be parallel.
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.
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- 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
