05 Angle Pairs
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Transcript of 05 Angle Pairs
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Angle Pairs
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ESSENTIAL QUESTIONS:
Why is Geometry an important branch
of Mathematics?
How are undefined terms and geometric
figures relevant to the physical world?
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Objectives:
At the end of the discussion, the students
are expected to:
recall how to name and measure angle;and
identify the characteristics of angle pairs.
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Geometric Relationships
that exist between Two Angles1) Adjacent angles
- these are angles on the same plane that
have a common side and a common vertex
but no common interior points.
and are
adjacent angles withas the common side.
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Geometric Relationships
that exist between Two Angles1) Adjacent angles
These ARE
Adjacent Angles
because
they share avertex and a side
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Geometric Relationships
that exist between Two Angles1)
NOT
Adjacent angles
They only share a
vertex, not a sideThey only share a
side, not a vertex
Angles a and b
overlap
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Geometric Relationships
that exist between Two Angles2) Complementary angles
- are two angles whose measures have a sum
of 90 and arecomplementary angles
because the sum of their
measures is . This pairof angles is also adjacent
with as the common
side.
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Geometric Relationships
that exist between Two Angles2) Complementary angles
NOTE: angles don’t necessarily have to be
togetherThe pair of angles in the
left are complementary
angles because the sum of
their measures is . Thispair of angles is not
adjacent.
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Geometric Relationships
that exist between Two Angles2) Complementary angles
NOTE: angles don’t necessarily have to be
together
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TRY THIS
Give the complement of the given angles.
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Geometric Relationships
that exist between Two Angles3) Supplementary angles
- are two angles whose measures have a sum
of 180 and aresupplementary angles
because the sum of their
measures is . This pairof angles is also adjacent
with as the common
side.
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Geometric Relationships
that exist between Two Angles3) Supplementary angles
The pair of angles in the left are supplementaryangles because the sum of their measures is .
This pair of angles is not adjacent.
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Geometric Relationships
that exist between Two Angles3) Supplementary angles
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TRY THIS
Give the supplement of the given angles.
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Geometric Relationships
that exist between Two Angles4) Linear pairs
and form a linear
pair because
and are adjacentangles and and are
opposite rays.
- consist of two adjacent angles whose
noncommon sides are opposite rays
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Geometric Relationships
that exist between Two Angles4) Linear pairs
and form a linear
pair because
and are adjacentangles and and are
opposite rays.
- consist of two adjacent angles whose
noncommon sides are opposite rays
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Geometric Relationships
that exist between Two Angles5) Vertical angles
- are two adjacent angles formed by two
intersecting lines
Angles 1 and 3 are vertical angles.
Angles 2 and 4 are also vertical angles.
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Geometric Relationships
that exist between Two Angles5) Vertical angles
- vertical angles are equal; considered as
congruent angles
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POP QUIZ(open Google classroom)
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To be called a complement or supplement,
an angle needs another angle.
As a person, do we also need another person
as a complement or supplement.
REFLECT ON THIS:
“No man is an island.”