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GEOMETRY UNIT 5 :pencil2: (Coordinate Proofs (Midpoint Formula (The…
GEOMETRY UNIT 5 :pencil2:
Coordinate Proofs
no reasons, very organized constructed response, use distance formula, midpoint formula, slope
Midpoint Formula
The midpoint of the segment that joints points (x1,y1) and (x2,y2) is the point (x1+x2/2, y1+y2/2)
Standard Form
The graph of any equation that can be written in the form Ax+By=C, with A and B not both zero, is a line.
Slope-Intercept Form
A line with the equation y=mx+b has slope m and y-intercept b.
Distance Formula
The distance d between points (x1, y1) and (x2, y1) is given by d = √(x2-x1)^2 + (y2 - y1)^2.
Vocab
Midsegment of a Triangle
a segment connecting the midpoints of two sides of a triangle.
Midsegment of a Trapezoid
the segment connecting the midpoints of the two non-parallel sides.
Exterior Angle
The angle between any side of a shape, and a line extended from the next side.
Postulates and Theorems
Sum of Interior Angles of a Polygon
The sum,s, of the measures of the interior angles of a polygon with n sides is given by s=(n-2)180.
Measure of Interior Angles of a Polygon
The measure, m, of an interior angle of a regular polygon with n sides is given by m=180-360/n.
Sum of Exterior Angles of a Polygon
The sum of the measures of the exterior angles of a polygon is 360 degrees.
