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The term for the line that divides them is a diagonal.

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14y ago
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6mo ago

The diagonal of a parallelogram divides it into two congruent triangles. This is because the diagonal creates two pairs of congruent triangles by dividing the parallelogram into two equal halves.

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Q: What divides a parallelogram into two congruent triangles?
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Related questions

Does a diagonal of a parralelogram divide a parallelogram into two congruent triangles?

Yes, a diagonal of a parallelogram divides it into two congruent triangles. This is because the opposite sides of a parallelogram are parallel and congruent, so the two resulting triangles formed by the diagonal are mirror images of each other and thus congruent.


In a parallelogram a diagonal separates the parallelogram into?

two congruent triangles


In a parallelogram a diagnol separates the parallelogram into?

two congruent triangles


What is congruent diagonals each of which divides the figure into two congruent isosceles right triangles?

what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles


What 2 triangles are formed when split a parallelogram in half?

Two congruent triangles.


A diagonal forms two non-congruent triangles?

False. A diagonal of a parallelogram produces 2 congruent triangles


What do you get when you join two congruent equilateral triangles?

There is more than one way to join two triangles. It would be possile to assemble a parallelogram out of two congruent equilateral triangles.


If a diagonal is drawn in a parallelogram then two congruent triangles are formed?

True.


If a diagonal is drawn in a parallelogram then two congruent triangles are formed.?

Correct


A diagonal separates the parallelogram into?

Two congruent triangles.. To prove it, use the SSS Postulate.


How do you decompose a rectangle into congruent triangles?

Its diagonals divides it into two equal right angle triangles.


Why are the diagonals of a parallelogram not congruent?

If you look ate the parallelogram you'll see two kinds of triangles. Two that have longer diagonal and bigger angle, and two sides of parallelogram. Then, you have two triangles that have two sides of parallelogram, shorter diagonal and smaller angle. This triangles obviously have two sides that are the same (sides of parallelogram). If this two triangles had been congruent diagonals would have been congruent too, since these triangles would have been congruent. But this is not true unless angles of parallelogram are the same, therefore diagonals cannot be the same length. Of course, there are parallelograms that have same angles, and those are square and rectangle, which do have the same angles. I hope I made this more clear, and I'm sorry for my bad English.