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MATHEMATICS QUARTER 3
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Math Theorems Maam Korina
MATHEMATICS QUARTER 3
16 cards
Cards (43)
The set of points in a plane equidistant form a given point(the center of the circle).
Circle
Circle:
Set of points
in a
plane equidistant
from a given point (
the center of the circle
)
Radius
:
Segment from the center of the circle to a point on the circle (distance from the center to a point on the circle)
Circumference
:
Distance around the edge of the circle
Congruent Circles:
Two circles with the same radius
Diameter
:
Segment that goes through the center of the circle, with both endpoints on the edge of the circle
Chord
:
Line segment that goes from one point to another on the circle's circumference
Tangent
:
Line that intersects a circle at only one point
Radius at the point of tangency is perpendicular to the tangent line
Secant
:
Line that intersects a circle at two points
Inscribed
Angle
:
Angle made from points sitting on the circle's edge
A and
C are
"
end points
",
B is the
"
apex point
"
Central angle:
Angle with vertex at the center of the circle
Arc
:
Part of the
circumference
(
edge
) of the
circle
Measure of an
arc
is equal to the measure of the
central
angle formed by its
endpoints
Arcs
are named by their
endpoints
Minor arc
:
Arc whose measure is less than 180 degrees
Major arc
:
Arc whose measure is greater than 180 degrees
Semicircle arc
:
Arc whose measure is 180 degrees
Chord Central Angles Theorem
:
If two chords in a circle are congruent, they determine two central angles that are congruent
Chord Arcs Theorem
:
If two chords in a circle are congruent, their intercepted arcs are congruent
Perpendicular to a Chord Theorem:
Perpendicular
from the center of a circle to a chord is the
bisector
of the chord
Chord Distance to Center Theorem:
Two congruent chords in
a
circle are
equidistant from the center of the circle
Perpendicular Bisector of a Chord Theorem:
Perpendicular bisector of
a
chord passes
through the center of the circle
Tangent Theorem:
A tangent to a circle is
perpendicular
to the
radius
drawn to the point of
tangency
Tangent Segments Theorem
:
Tangent segments to a circle from a point outside the circle are congruent
Inscribed Angle Theorem
:
Measure of an angle inscribed in a circle is one-half the measure of the central angle
Inscribed Angles Intercepting Arcs Theorem:
Inscribed angles that intercept the same arc are congruent
Angles Inscribed in a Semicircle Theorem:
Angles inscribed
in a
semicircle
are
right angles
Cyclic Quadrilateral Theorem:
Opposite angles
of a
cyclic quadrilateral are supplementary
Parallel Lines Intercepted Arcs Theorem:
Parallel lines intercept congruent
arcs on
a circle
See all 43 cards