Question

6. The figure obtained by joining the mid-points of the adjacent sides of a rectangle of
sides 8 cm and 6 cm is​

Answer 1

Answer:

A Rhombus

Step-by-step explanation:

In a rectangle when the sides are divided into two equal parts, we get 4 triangles attached with the sides. According to the measurements given:

In a right triangle:

Side 1=3cm Side 2=4cm

Using Pythogoreous Theorem:

Side 3^2=Side 1^2 + Side 2^2

Solving that we get Side 3 = 5cm

In all triangles in a similar way, we get 5cm all.

We can also prove that the opposite sides are parallel by proving the congruency of any two opposite triangles and say that since a pair of alternate interior angles are equal, the given lines are parallel. SInce a pair of sides of the quadrilateral are parallel, the remaining two sides are also parallel to each other. Therefore, Since the opposite sides are parallel and equal, we can say that the figure or the quadrilateral formed is a rhombus(parallegram).