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Q: What is defined by a line that divides two sides of a triangle proportionally then it is parallel to the third?

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angle bisector

It may but it doesn't have to. It's very easy for a single straight line to cut one side of a triangle into 1/3 and 2/3 pieces, and then go on to cross another side of the triangle at its midpoint.

Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.

A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.

There are an infinite number of lines that can divide a triangle into two parts with equal areas. The medians are one set of such lines.

Related questions

Converse of the triangle proportionality theorem APEX :)

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally

Parallel

A. A perpendicular line to one side of the triangle. ~Apex

angle bisector

It may but it doesn't have to. It's very easy for a single straight line to cut one side of a triangle into 1/3 and 2/3 pieces, and then go on to cross another side of the triangle at its midpoint.

The 38th parallel.

The parallel is called the equator.

The equator.

The equator.

Each median divides the area of a triangle into halves.

North and South Korea are divided by the 38th parallel.

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