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What are Baravelle Spirals?
Oh, dude, Baravelle Spirals are these cool geometric patterns that occur naturally in some fruits and vegetables when you cut them a certain way. It's like nature's way of saying, "Hey, check out my fancy math skills!" So next time you're slicing up a cabbage or a Romanesco broccoli and see those intricate spirals, just remember, nature's got some serious style.
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.
