contestada

Which concept can be used to prove that the diagonals of
a parallelogram bisect each other?
congruent triangles
similar triangles
congruent rectangles
similar rectangles

Respuesta :

Crazybadger0412

We have to prove that the diagonals of parallelogram bisect each other.

Consider, ABCD is a parallelogram with AC and BD as diagonals and M is the point of intersection of the two diagonals.

We have to prove that MA=MC and MB=MD.

Now, In ΔAMD and ΔBMC, we have

∠MAD=∠MCB (Alternate angles as ABCD is parallelogram and DC║AB)

AD=BC (Opposite sides of parallelogram)

∠ADM=∠MBC (Alternate angles as ABCD is parallelogram and DC║AB)

Thus, by SAS rule of congruency,

ΔAMD ≅ ΔBMC

⇒MA=MC and MB=MD (CPCT)

Therefore, we use the method of congruent triangles in order to prove that diagonals of parallelogram bisect each other.

so option A is correct.

gauravsingh23VT

Congruent triangles is the concept can be used to prove that the diagonals of a parallelogram bisect each other. Hence, option A is correct.

What is Congruent triangles?

When the sides and angles of two triangles match, the triangles are said to be congruent. Thus, two triangles can be placed side by side and angle by angle on top of one another. ABC and PQR are congruent triangles in the image below.

One of four requirements must be satisfied for two triangles to be congruent. Each party has an equal stake. A comparable side and two angles share the same properties. The angle between the two sides is also equal, and there are two equal sides. The hypotenuse, the corresponding side, and a right angle are all equal.

Thus, option A is correct.

For more details about Congruent triangles, click here:

https://brainly.com/question/12413243

#SPJ5

Ver imagen gauravsingh23VT

Otras preguntas