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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 is a consecutive exterior angle?
Two exterior angles are consecutive if they are formed at vertices which are next to one another.
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.
Which figure is formed by joining the mid points of the adjacent sides of quadrilateral?
parallelogram
What is a cylic quadrilateral?
A cyclic quadrilateral is one where the sum of measures of opposite angles is 180 degrees. I t mostly is formed with the vertices as part of the circumference of a circle.
What type of quadrilateral is formed when you connect the midpoints of a rectangle?
A rhombus is formed.
What figure is formed by joining in order all midpoints on the sides of any quadrilateral?
ANSWER
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 quadrilateral is formed by two triangles together?
rhombus
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.
What is a consecutive exterior angle?
Two exterior angles are consecutive if they are formed at vertices which are next to one another.
What type of quadrilateral is formed when the mid points of trapezium is connected?
A parallelogram.
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.
How many triangles are formed If all of the diagonals are drawn from a vertex of a quadrilateral?
4
Which figure is formed by joining the mid points of the adjacent sides of quadrilateral?
parallelogram
What is formed by two consecutive sides of a polygon?
They form a vertex of the polygon.
What is a cylic quadrilateral?
A cyclic quadrilateral is one where the sum of measures of opposite angles is 180 degrees. I t mostly is formed with the vertices as part of the circumference of a circle.
