Determine what kind of shape this is based on the slopes. List the slopes of the diagonals
Unique Properties of Squares
1. 2. 3. 4. Squares
Parallelogram
Opposite sides parallel
Opposite sides ≅
Opposite angles ≅
Consecutive angles add up to 180o
Diagonals bisect each other
Rectangle
Rhombus
Sides perpendicular (All angles are 90o)
Diagonals are perpendicular
Diagonals are ≅
All sides are ≅
Square
(All of the above)
Sides perpendicular/ All angles are 90o
Diagonals perpendicular
STEPS: 1. Graph the points and find the slopes of 4 sides and the 2 diagonals. 2. Is it a rectangle? Yes if the sides are perpendicular. No if the sides are NOT perpendicular. 3. Is it a Rhombus? Yes if the diagonals are perpendicular.
No if the diagonals are NOT perpendicular.
4. If yes to both, it's a square
Example 1:
Determine whether the quadrilateral formed is a Square. A(1,2) B(4,­1) C(1,­4) D(­2,­1) Example 2:
Determine whether the quadrilateral formed is a Square A(­1,4) B(2,1) C(­1,­3) D(­5,0) Write in the assignment for today! Green WS: Graphing Special Parallelograms

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