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Formulas to recall Slope: Midpoint: Distance: Definitions to recall Midsegment: Line connecting two midpoints Median: Connects a vertex of a triangle.

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Presentation on theme: "Formulas to recall Slope: Midpoint: Distance: Definitions to recall Midsegment: Line connecting two midpoints Median: Connects a vertex of a triangle."— Presentation transcript:

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2 Formulas to recall Slope: Midpoint: Distance:

3 Definitions to recall Midsegment: Line connecting two midpoints Median: Connects a vertex of a triangle to the midpoint of the opposite side Altitude: Connects a vertex of a triangle to the opposite side at a 90 o angle Perpendicular Bisector: A line passing through the midpoint of a side of a triangle at a 90 o angle Centroid: Intersection point of the 3 medians of a triangle, this point is the center of mass Orthocentre: Intersection point of the 3 altitudes of a triangle Circumcentre: Intersection point of the 3 perpendicular bisectors of a triangle, this point is equal distance from all 3 vertices

4 Shape Properties / Classifying Shapes Parallelogram: Opposite sides are parallel. Rectangle: Opposite sides are parallel, has four 90 o angles. Square: Opposite sides are parallel, has four 90 o angles, all four sides have the same length. Rhombus:Opposite sides are parallel, all four sides have the same length. Trapizoid:One pair of opposite sides are parallel. Kite: No pairs of opposite sides are parallel. All rectangles are also parallelograms, all squares are also rhombuses To determine what type of shape you have, use the slope and distance formulas

5 Find the radius of a circle given the centre at the origin (0,0) and a point - Ch. review p.207, #4 Find the equation of a circle with the centre at the origin, given the radius - Ch. review p.207, #5,6 & Ch. review test p.218, #2 Given an equation of a circle with the centre at the origin (0,0), determine whether a point is inside, outside or on the circle - p.156, #9 Find the midpoint of a line, given two points Ch. Review p.211, #10-12 & Ch. review test p.218, p.1(a) Find the length of a line segment – Ch. review p.209, #7-9 Verify geometric properties - Isosceles triangle, Equilateral triangle, Square, Rectangle, Rhombus, Parallelogram & Trapezoid - Ch. review p.213,#13-17 & p.215,#18-19 & Ch. review test p.218, #3,4,5,6,7,8


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