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1. To classify quadrilateral

A quadrilateral is a polygon with four sides. There are many different ways to classify quadrilaterals, but some of the most common classifications include:

  • Convex quadrilateral: A quadrilateral with all four interior angles less than 180 degrees.
  • Concave quadrilateral: A quadrilateral with at least one interior angle greater than 180 degrees.
  • Trapezoid: A quadrilateral with one set of parallel sides.
  • Parallelogram: A quadrilateral with two sets of parallel sides.
  • Rectangle: A parallelogram with four right angles.
  • Square: A rectangle with all four sides of equal length.


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2. To classify the triangle

A triangle is a polygon with three sides. There are many different ways to classify triangles, but some of the most common classifications include:

  • Equilateral triangle: A triangle with all three sides of equal length.
  • Isosceles triangle: A triangle with two sides of equal length.
  • Scalene triangle: A triangle with no sides of equal length.
  • Right triangle: A triangle with a right angle (90 degrees).


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3. Use the distance formula:

The distance formula is used to find the distance between two points in a coordinate plane. The formula is:


\boxed{\tt d = √((x_2- x_1)^2 + (y_2 - y_1)^2)}

where dis the distance between the two points, x1 and x2 are the x-coordinates of the two points, and y1 and y2 are the y-coordinates of the two points.


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4. Use the midpoint formula

The midpoint formula is used to find the midpoint of a segment. The formula is:


\boxed{\tt m(x,y) =( ((x1 + x2) )/(2), ((y1 + y2) )/( 2))}

where m(x,y) is midpoint and (x1, y1) and (x2, y2) are the endpoints of the segment.

What can I find with midpoint formula?

The midpoint formula can be used to find the midpoint of a segment, which is the point that is exactly halfway between the two endpoints of the segment. The midpoint formula can also be used to find the coordinates of a point that is a certain distance away from two other points.


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5. Slope

The slope is a measure of the steepness of a line. It is calculated by dividing the change in the y-coordinate (rise) by the change in the x-coordinate (run). The slope of a line can be positive, negative, zero, or undefined.

  • To find it from a graph

The slope of a line can be found from a graph by drawing a line segment from the point where the line crosses the y-axis to the point where the line crosses the x-axis. The slope of the line is equal to the rise over run of the line segment.

  • To find it from two points

The slope of a line can also be found from two points by using the following formula:


\boxed{ \tt m =( (y_2 - y_1) )/( (x2 - x1))}

where m is the slope of the line, y2 and y1 are the y-coordinates of the two points, and x2 and x1 are the x-coordinates of the two points.

User Jerry Liu
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