Download a point which divides a line segment into two lines of

MPM2D
Geometry Definitions
Midpoint – a point which divides a line segment into two lines of equal length.
Midsegment – the line segment formed by joining the midpoints of two adjacent
sides of a polygon.
Perpendicular – two lines that meet at right angles. Slopes will be negative
reciprocals.
Bisector – a straight line that bisects (halves) a line.
Angle Bisector – a line separating an angle into two equal parts.
Types of Triangles
Isosceles triangle: A triangle with two congruent sides
Scalene triangle: A triangle with no two sides of the same length
Equilateral triangle: A triangle with all side the same length.
Right Angle triangle: A triangle where two sides are perpendicular to each other.
Special Triangle Lines
Median – a line that joins the vertex of a triangle to the midpoint of the opposite side
Altitude – a line drawn from a vertex of a triangle , perpendicular to the opposite side
(representing the height).
Perpendicular bisector – a line which is perpendicular to a given line segment and
which passes through the midpoint of the segment.
MPM2D
Geometry Definitions
Classification of Quadrilaterals
Properties of a parallelogram,
1. The parallel sides are parallel by definition.
2. The opposite sides are congruent.
3. The opposite angles are congruent.
4. The diagonals bisect each other.
5. Any pair of consecutive angles are supplementary.
Properties of Rhombuses
In a rhombus,
1. All the properties of a parallelogram apply by definition.
2. Two consecutive sides are congruent by definition.
3. All sides are congruent.
4. The diagonals bisect the angles.
5. The diagonals are perpendicular bisectors of each other.
6. The diagonals divide the rhombus into four congruent right triangles.
Properties of Kites
In a kite,
1. Two disjoint pairs of consecutive sides are congruent by definition.
2. The diagonals are perpendicular.
3. One diagonal is the perpendicular bisector of the other.
4. One of the diagonals bisects a pair of opposite angles.
5. One pair of opposite angles are congruent.
Properties of Rectangles
In a rectangle,
1. All the properties of a parallelogram apply by definition.
2. All angles are right angles.
3. The diagonals are congruent.
Properties of Squares
In a square,
1. All the properties of a rectangle apply by definition.
2. All the properties of a rhombus apply by definition.
3. The diagonals form four isosceles right triangles.
Proofs:
If all sides are the same length it is a rhombus. If two sides meet at right angles then it is a
square.
If opposite sides are the same length then it is a parallelogram. Opposite sides will be parallel.
Remember that if the midpoints of the diagonals bisect each other it is a parallelogram. (which
could also be a rhombus or square)