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What divides a parallelogram into two congruent triangles?

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


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


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.


Diagonal of parallelogram divides it into four triangles?

When a diagonal is drawn in a parallelogram, it splits the shape into two congruent triangles. Each of these triangles is further divided by the other diagonal, resulting in a total of four smaller triangles within the parallelogram. These triangles are all formed by the intersection of the diagonals and the vertices of the parallelogram. As a result, the diagonal effectively segments the parallelogram into four distinct triangular areas.


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?

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