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What type of figure is formed by joining the midpoints of the adjacent sides of a rectangle?

Posted on August 19, 2020 by Author

Table of Contents

  • 1 What type of figure is formed by joining the midpoints of the adjacent sides of a rectangle?
  • 2 What is the figure obtained by joining the mid points of adjacent sides of a square?
  • 3 What type of figure is formed by joining the midpoints of a quadrilateral?
  • 4 What type of figure is formed by joining the midpoints of a trapezium?
  • 5 Which figure is formed by joining the midpoints of rhombus?
  • 6 Is area of rhombus and square same?
  • 7 Which figure is obtained by joining the midpoints of the adjacent sides?
  • 8 Why are the midpoints of adjacent sides of a rhombus half of it?

What type of figure is formed by joining the midpoints of the adjacent sides of a rectangle?

rhombus
The figure formed by joining the mid points of the adjacent sides of a rectangle is a rhombus.

What is the figure obtained by joining the mid points of adjacent sides of a square?

square rhombus
The figure formed by joining the mid-points of the adjacent sides of a square is a. square. rhombus.

What is the shape of quadrilateral formed by joining the mid points of the adjacent 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.

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What is the length of a diagonal and area of a rhombus?

d1 = length of diagonal 1. d2 = length of diagonal 2. b = length of any side. h = height of rhombus….Area of Rhombus Formula.

Formulas to Calculate Area of Rhombus
Using Diagonals A = ½ × d1 × d2
Using Base and Height A = b × h
Using Trigonometry A = b2 × Sin(a)

What type of figure is formed by joining the midpoints of a quadrilateral?

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a parallelogram.

What type of figure is formed by joining the midpoints of a trapezium?

Joining the midpoints of a trapezium gives “a convex irregular quadrilateral”. Joining the midpoints of an isosceles trapezium gives “a kite” which has 2 pairs of equal sides. One pair of equal sides emerge from the midpoint of the shorter parallel side and the other pair from the midpoint of the longer parallel side.

What are the figure and its area obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is?

Hence, joining the midpoints of the adjacent sides of the rectangle, we obtain a rhombus of area 24 cm2.

What is the type of the figure obtained by joining the midpoints of adjacent sides of a rectangle of sides 8 cm and 6 cm?

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The figure obtained by joining the midpoints E, F, G and H is rhombus. Hence, option (D) is the correct answer.

Which figure is formed by joining the midpoints of rhombus?

Show that the figure formed by joining the midpoints of sides of a rhombus successively is a rectangle.

Is area of rhombus and square same?

Area of a rhombus or any parallelogram = base × height. In a rhombus, the side and height are not the same. However, the area of the square = side×side, wherein the side could also be the height of the square. A square is a rhombus because it has four sides, and each side is the same length.

Which figure is formed by joining the midpoints of a parallelogram?

The figure formed by joining the mid-points of the adjacent sides of a parallelogram is a parallelogram. PQRS is a quadrilateral, PR and QS intersect each other at O.

How do you find the area of a rhombus?

Find the area of a figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm and 16 cm. Join the mid points of AB, BC, CD, DA of a rhombus ABCD and name them M, N, O and P respectively to form a figure MNOP.

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Which figure is obtained by joining the midpoints of the adjacent sides?

13) The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is Let ABCD be a rectangle, and E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Hence, the figure obtained by joining the midpoints E, F, G and H is a rhombus.

Why are the midpoints of adjacent sides of a rhombus half of it?

The midpoints of adjacent sides of a rhombus if joined could form a rectangle having side lengths as half the corresponding diagonals of the rhombus. It is proved from the applications of the geometry that for every such ∆ the line joining the midpoints of two conjecutive sides is parallel to the third one and is half of it.

Is the quadrilateral formed by joining the midpoints of a rhombus a rectangle?

The answer is yes! In this post, we’ll see that the quadrilateral formed by joining the midpoints of a rhombus is a rectangle. To save work, we will rely on what we have already proven. A rhombus is a quadrilateral, so joining its midpoints creates a parallelogram.

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