The (Ultimate) Geometry Review Sheet Page 13

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Part I Reminders:
-label your x- and y-axes
-label your graphs (your lines, parabolas, etc.) using the original equation given
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2
2
2
(
x
h
)
(
y
k
)
r
The equation of a circle:
, where (h, k) is the center and r represents the radius
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Quadratic-Linear Systems:
*refer to the following website for help…
Graphically…
Proof Methods:
To prove a figure is a(n)…
Methods
Parallelogram
Show one of the following:
-diagonals bisect each other
-both pairs of opposite sides are parallel
-both pairs of opposite sides are congruent
-one pair of opposite sides is congruent and parallel
Rectangle
Show that the figure is a parallelogram using any one
of the four methods above
AND
one of the following:
-the figure has one right angle
-the diagonals are congruent
Rhombus
Show that the figure is a parallelogram using any one
of the four methods above
AND
one of the following:
-the diagonals are perpendicular
-two adjacent sides are congruent
Square
Show the figure is a rectangle
AND
two adjacent sides are congruent
…OR…
Show that the figure is a rhombus
AND
one angle is a right angle.
Trapezoid
Show that the quadrilateral has only one pair of
opposite sides parallel
Isosceles Trapezoid
Show the figure is a trapezoid
AND
one of the following:
-the diagonal are congruent
-the legs are congruent
Right Trapezoid
Show the figure is a trapezoid
AND
one of the legs is perpendicular to a base of the
trapezoid

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