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

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


Why drawing a diagonal on any parallelogram will always result in two congruent triangles?

Drawing a diagonal in a parallelogram divides it into two triangles that share the same base (the diagonal) and have equal heights, as the opposite sides of a parallelogram are equal in length and parallel. Additionally, each triangle has two sides that are equal to the lengths of the corresponding sides of the parallelogram. By the Side-Side-Side (SSS) congruence criterion, the two triangles formed by the diagonal are congruent. Thus, any diagonal in a parallelogram always results in two congruent triangles.


In a parallelogram a diagnol separates the parallelogram into?

two congruent triangles


In a parallelogram a diagonal 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


Can all parallelograms be split into to congruent triangles why?

Yes, all parallelograms can be split into two congruent triangles. This is achieved by drawing a diagonal line connecting two opposite vertices. This diagonal divides the parallelogram into two triangles that are congruent by the Side-Angle-Side (SAS) postulate, as they share a side (the diagonal), and the angles formed at the vertices are equal.


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


What does each diagonal do to a parallelogram?

In a parallelogram, each diagonal divides the shape into two congruent triangles, ensuring that the areas of the resulting triangles are equal. The diagonals also bisect each other, meaning they intersect at their midpoints. Additionally, the diagonals can be used to determine the properties of the parallelogram, such as its symmetry and area.