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16 Cards in this Set

  • Front
  • Back

Midpoint

The point that represents the middle of a line segment.

Median

A line that is drawn from the vertex of a triangle to the midpoint of the opposite side.

Perpendicular Bisector

A line that bisects (midpoint) a line segment and is perpendicular to the line segment.

Altitude

A line segment that represents the height of a polygon, drawn from the a vertex of the polygon perpendicular to the opposite side.

Length of a Line Segment


(-2,3) and (12,-4)

√245

Shortest Distance Between a Point and a Line

The shortest distance is when the line created by the point is perpendicular to the line.

Equation of a Circle

For any circle that has its centre at the origin and a radius of r units: x² + y² = r²

Quadrilateral

Four sided polygon

Polygon

A closed figure formed by line segments

Mid-segment of a Quadrilateral

A line segment that connects the midpoints of two adjacent sides in a quadrilateral.

Chord of a Circle

A line segment that joins two points on the circle.

Parallelogram

Quadrilateral with opposite sides parallel.


If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Properties of the Parallelogram


(3)

1. Calculate the slopes of the 4 sides and show that the slopes of opposite sides are equal (same slope = parallel)




2. Show that the diagonals bisect each other (meets at the same midpoint). The diagonals are not the same length.




3. Show that adjacent sides are not the same length. (Opposite sides are the same length).

Properties of a Rectangle


(3)

1. Calculate the slopes of the 4 sides and show that the slopes of opposite sides are equal




2. Show that the slopes of adjacent sides are negative reciprocals of each other (perpendicular).




3. Show that the diagonals bisect each other (meet at the same midpoint). The diagonals are the same length.




*Opposite sides should be equal in length

Properties of a Square


(4)

1. Calculate the slopes of 4 sides and show that the slopes of opposite sides are equal.




2. Show that the slopes of adjacent sides are negative reciprocals of each other (perpendicular).




3. Calculate the length of all 4 sides and show that they are equal.




4. Show that the diagonals bisect each other, are equal in length and are perpendicular to each other.

Properties of a Rhombus


(3)

1. Calculate the slopes of all 4 sides and show that the slopes of opposite sides are equal.




2. Calculate the length of all 4 sides and show that they are equal.




3. Show that the diagonals bisect each other, are not equal in length and are perpendicular to each other.