MPM2D1
Lesson 04
Geometric Properties
REVIEW OF GEOMETRIC PROPERTIES
TRIANGLES
Type
Properties
Method to Verify
Right Triangle

1. Find the slope of all three sides of
the triangle.

Two sides intersect at a rightangle.
The length of these two sides are
related to the length of the third
side using the Pythagorean
Theorem.
a. Are there two sides that form
a right-angle (slopes are
negative reciprocals)?
2. Compare the length of the third
side to the lengths of the first
and second side using
Pythagorean Theorem.
a. Does the LS = RS?
Scalene Triangle

Isosceles Triangle

Equilateral
Triangle

1. Find the length of each side of
the triangle.
a. Which type is it?
MEDIANS OF A TRIANGLE
Centroid: the point where all medians of a triangle intersect.
How can you find this point and confirm it is correct?
Area: each median of a triangle bisects the area (equal on both sides).
How can you verify the median of a triangle bisects the triangle’s area?
Altitude/Median of an Isosceles Triangle: the altitude corresponds to the median of an
isosceles triangle.
How can you prove a triangle is isosceles using the altitude and the median?
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MPM2D1
Lesson 04
Geometric Properties
QUADRILATERALS
Type
Properties
Method to Verify
Parallelogram
Square
Rectangle
Trapezoid
Rhombus
Kite
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MPM2D1
Lesson 04
Geometric Properties
CIRCLES
Chord: a line connecting two points of a circle.
What is the significance of the perpendicular bisector of a chord?
How could you confirm the property in the previous question?
How can you find the centre of a circle using chords?
REVIEW PRACTICE
Triangles
Pg. 152 2a, 3ab, 4a, 5
Pg. 154 1, 2, 5, 6
Quadrilaterals
Pg. 152 7a, 8, 9
Pg. 154 7a, 8
Circles
Pg. 152 10, 11, 12
Pg. 154 13
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