05 angle pairs

8/18/2019 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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that exist between Two Angles1) Adjacent angles

These ARE

Adjacent Angles

because

they share avertex and a side


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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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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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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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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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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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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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TRY THIS

Give the supplement of the given angles.


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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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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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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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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.”

05 angle pairs

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