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

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 figure would you obtain if you join the midpoints of the sides of a rectangle in an order?

When we join the midpoints of the sides of rectangle and parallelogram we will get parallelogram.

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 is the relationship between the area of the midpoint polygon and the area of the original polygon?

We established in class that for a triangle, the midpoint polygon has 1/4 the area of the original triangle.

What type of figure is formed by joining the midpoints of the adjacent sides 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.

What is the name of the polygon that is formed by connecting the midpoints of each side of any quadrilateral?

If you connect the midpoints of the sides of any quadrilateral, the resulting quadrilateral is always a parallelogram. Surprisingly, this is true whether it is a special kind of quadrilateral like a parallelogram or kite or trapezoid, or just any arbitrary simple convex quadrilateral with no parallel or equal sides.

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

The quadrilateral formed by joining the mid points of the consecutive sides of a square is also a square.

What is the figure obtained by joining the midpoints of a square?

The figure obtained by joining the mid-points of the adjacent sides of a rectangle is a Parallelogram.

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

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

What polygon is formed by joining the points?

A triangle is a figure formed by three segments joining three noncollinear points. Each of the three points joining the sides of a triangle is a vertex. The plural of vertex is “vertices.” In a triangle, two sides sharing a common vertex are adjacent sides.

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

Definition: A median of a trapezoid is the segment that joins the midpoints of the nonparallel sides (legs). Theorem: The median of a trapezoid is parallel to each base and the length of the median equals one-half the sum of the lengths of the two bases.

How do you find the area and perimeter of a polygon?

The measure of each interior angle of n-sided regular polygon = [ (n – 2) × 180°]/n The measure of each exterior angle of an n-sided regular polygon = 360°/n Area and Perimeter Formulas The area and perimeter of different polygons are based on the sides.

What are the different types of polygons in math?

Types of Polygon. Depending on the sides and angles, the polygons are classified into different types, namely: Regular Polygon; Irregular Polygon; Convex Polygon; Concave polygon; Regular Polygon. If all the sides and interior angles of the polygon are equal, then it is known as a regular polygon.

What are the properties of a polygon with n sides?

Properties 1 The sum of all the interior angles of an n-sided polygon is (n – 2) × 180°. 2 The number of diagonals in a polygon with n sides = n (n – 3)/2 3 The number of triangles formed by joining the diagonals from one corner of a polygon = n – 2 4 The measure of each interior angle of n-sided regular polygon = [ (n – 2) × 180°]/n

What do you call the line segments of a polygon?

The line segments of a polygon are called sides or edges. The point where two line segments meet is called vertex or corners, henceforth an angle is formed. An example of a polygon is a triangle with three sides.