What is the area of quadrilateral formed by joining the midpoints?

prove that the area of a quadrilateral formed by joining the mid point of the sides of a parallelogram is half the area of the parallelogram.

When the midpoints of the sides of a quadrilateral are joined in order the quadrilateral formed is always a square?

The quadrilateral formed by joining the midpoints of consecutive sides of a quadrilateral whose diagonals are congruent and perpendicular is a square.

Which type of quadrilateral is formed on joining midpoints of sides of a quadrilateral?

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, taken in order, is a parallelogram.

What is the area of the quadrilateral formed by joining the midpoints of the sides of a square of area 144cm2?

Thus, the area of the quadrilateral formed by joining the midpoints of the sides of a square of area 144 cm² is → 72 cm².

Which quadrilateral is formed by joining the midpoints of a rhombus?

In this post, we’ll see that the quadrilateral formed by joining the midpoints of a rhombus is a rectangle.

What kind of quadrilateral do we get when we connect the midpoints of the sides of a rectangle prove your answer?

A rectangle is a quadrilateral, so connecting its midpoints creates a parallelogram. To prove this parallelogram Is a rectangle, we need to show that all of its sides are equal. Since this quadrilateral is a parallelogram, we already know that the opposite sides are equal, as this is a property of parallelograms.

What is the name of the quadrilateral formed by joining the midpoints of the sides of a rhombus?

The answer is yes! In this post, we’ll see that the quadrilateral formed by joining the midpoints of a rhombus is a rectangle.

What kind of figure is formed by joining the midpoints of the sides of a polygon explain your answer?

A midpoint polygon is formed by taking the midpoints of each side of a polygon, and making a new polygon out of those points. The end result is the midpoint polygon inscribed in the polygon you started off with.

What is the midpoints of a quadrilateral?

The midpoints of the sides of an arbitrary quadrilateral form a parallelogram. If the quadrilateral is convex or concave (not complex), then the area of the parallelogram is half the area of the quadrilateral.

Which quadrilateral is formed by joining the midpoints of a trapezium?

rhombus
Prove that the quadrilateral obtained by joining the mid-points of an isosceles trapezium is a rhombus.