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Geometry Quiz
Quiz by
Maladroit
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Last updated: May 18, 2018
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First submitted
May 18, 2018
Times taken
6
Average score
45.5%
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8-1
If the
altitude
is drawn
to the
hypotenuse
of a
right
triangle, then the two
triangles
formed are
similar
to the original
triangle
and to each other.
8-1 (C1)
When the
altitude
is drawn
to the
hypotenuse
of a
right
triangle, the
length
of the altitude is the
geometric
mean
between
the
segments
of the hypotenuse.
8-1 (C2)
When the
altitude
is drawn
to the
hypotenuse
of a
right
triangle, each leg is the
geometric
mean
between the
hypotenuse
and the segment of
the
hypotenuse
that is
adjacent
to that leg.
8-2
In a
right
triangle, the
square
of the hypotenuse is
equal
to the sum of the
squares
of the legs.
8-3
If the
square
of one side of
a
triangle
is equal to the sum of
the
squares
of the other two
sides
, then the triangle is a
right
triangle.
8-6
In a 45-45-90
triangle
,
the
hypotenuse
is √2 times as
long as a
leg
.
8-7
In a 30-60-90
triangle
,
the
hypotenuse
is twice as long
as the
shorter
leg, and the
longer
leg is √3 times as long as
the
shorter
leg.
9-1
If a
line
is tangent to a
circle
, then the line is
perpendicular
to the
radius
drawn to the
point of
tangency
.
9-1 (C1)
Tangents
to a circle from
a
point
are congruent.
9-2
If a
line
in the plane of a
circle
is perpendicular to a
radius
at its outer
endpoint
, then the line is
tangent
to the circle.
P16
The
measure
of the arc formed
by two
adjacent
arcs is the
sum
of the measures of
these
two
arcs.
(Arc
Addition
Postulate.)
9-3
In the
same
circle or in
congruent
circles, two
minor
arcs are congruent if
and only if their
central
angles
are
congruent
.
9-4
In the
same
circle or in
congruent
circles:
(1) Congruent
arcs
have
congruent
chords
.
(2) Congruent
chords
have
congruent
arcs
.
9-5
A
diameter
that is
perpendicular
to a chord
bisects
the chord and its arc.
9-6
In the
same
circle or in
congruent
circles:
(1) Chords equally
distant
from the
centre
(or
centres
) are congruent.
(2) Congruent
chords
are equally
distant
from the centre (or centres).
9-7
The measure of an
inscribed
angle is equal to
half
the measure
of its
intercepted
arc.
9-7 (C1)
If two
inscribed
angles intercept
the same
arc
, then the angles
are
congruent
.
9-7 (C2)
An angle
inscribed
in a
semicircle
is a right angle.
9-7 (C3)
If a
quadrilateral
is
inscribed
in a circle, then its
opposite
angles are
supplementary
.
9-8
The
measure
of an angle
formed by a chord and a
tangent
is equal to
half
the measure
of the
intercepted
arc.
9-9
The measure of an
angle
formed by two chords that
intersect
inside a circle is equal to
half
the sum of the
measures
of
the
intercepted
arcs.
9-10
The
measure
of an angle formed
by two
secants
,
two
tangents
,
or a
secant
and a
tangent
drawn from a
point
outside a circle
is equal to half the
difference
of the
measures
of
the
intercepted
arcs.
9-11
When two chords
intersect
inside
a circle, the
product
of the
segments of one
chord
equals
the
product
of the segments of
the other
chord
.
9-12
When two
secant
segments are
drawn to a circle from an
external
point, the product of one
secant
segment and its
external
segment
equals the
product
of the other
secant
segment and its
external
segment.
9-13
When a
secant
segment and
a
tangent
segment are drawn to
a circle from an
external
point,
the
product
of the
secant
segment and its
external
segment is equal to
the
square
of the
tangent
segment.
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