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A rhombus is formed.

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Q: What type of quadrilateral is formed when you connect the midpoints of a rectangle?
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What figure is formed by joining in order all midpoints on the sides of any quadrilateral?

ANSWER


Quadrilateral formed by connecting the midpoints of consecutive sides?

A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.


Using coordinate geometry how can you prove that the midpoints of the sides of a rhombus determine a rectangle?

Step 1: Identify the coordinates of the vertices of the rhombus. Step 2: Calculate the coordinates of the midpoints of the sides. x-coordinate of midpoint = average of x-coordinates of the two end points, and similarly the y- coordinate. Step 3: Calculate lengths of sides of the quadrilateral formed (using Pythagoras) Step 4: Use step 3 results to show opposite sides are equal. Step 5: Calculate gradient (slope) of any two adjacent sides, if defined. Step 6: The two gradients multiply to -1 which shows that they are perpendicular. 4 and 6 prove that the quadrilateral is a rectangle. If a side of the quadrilateral is vertical, its gradient (step 5) is not defined, but then the adjacent side will be horizontal. And so the two sides are perpendicular.


What are Baravelle Spirals?

Baravelle spirals are generated by connecting the midpoints of the successive sides of a regular polygon. Triangles will be formed. The process of identifying and repeatedly connecting the midpoints is called iteration.


What quadirlateral is formed by 2 right scalene triangles?

If the triangles are congruent and you match the hypotenera the right way, you can get a rectangle. If the triangles are not congruent, you can't even necessarily get a quadrilateral.


What is a quadrilateral shape?

It is any two-dimensional shape that has 4 sides formed by straight lines. It can be a square, rectangle, rhombus, rhomboid, parallelogram, or trapezoid. Its four included angles will total 360° (for a concave shape, one will exceed 180°).


Which quadrilateral has 4 interior angles and right angles are formed where they intersect?

It is a square or a rectangle in which both have 4 interior right angles and their 4 interior angles add up to 360 degrees


What quadrilateral is formed by two triangles together?

rhombus


What is the name for the angle that is formed by rectangle ADIJ and rectangle ABCD?

Dihedral angle


When a diagonal is drawn inside a quadrilateral two shapes are formed what is the name of the shapes formed?

The name of the shapes formed are triangles.


How is the diagonal in parallelogram formed?

a squished rectangle


What type of quadrilateral is formed when the mid points of trapezium is connected?

A parallelogram.