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Yes, the diagonal splits the parallelogram into two equal triangle aka congruent

the sides will stay the same, the two angles being divided are going to be split in half, one on each side, so its the same

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13y ago
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6mo ago

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.

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4y ago

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Q: Does a diagonal of a parralelogram divide a parallelogram into two congruent triangles?
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Related questions

What divides a parallelogram into two congruent triangles?

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.


In a parallelogram a diagonal separates the parallelogram into?

two congruent triangles


A diagonal forms two non-congruent triangles?

False. A diagonal of a parallelogram produces 2 congruent 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 many congruent triangles make a parallelogram?

Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com


How are parallelogram related to triangles and rectangles?

If you draw one diagonal across a parallelogram, it will split it into two congruent triangles. A rectangle is a parallelogram, with all four angles equal to 90°.


In which parallelogram does the diagonal divide the parallelogram into two congruent right triangles?

It is a rhombus because its diagonals meet at right angles.


How do you prove that diagonal of a parallelogram divide it into two congruent triangles?

maths mental abuse to human s


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.


How many diagonal lines are there in a heptagon?

A heptagon has 4 diagonal lines and 7 sides and it has 2 congruent diagonal lines and 2 congruent triangles