Pairs of Angles
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Transcript Pairs of Angles
Illustrations of Angle Pairs
Geometry
Mr. Killian
What angle pairs do you see here?
Adjacent Angles
Linear Pair
Vertical Angles
Complementary
Angles
Supplementary
Angles
Adjacent Angles
Angles that share a vertex and an entire
side (ray)
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
ADJACENT ANGLES
– Share a vertex and an entire side
The blue and green angles are adjacent
Linear Pair
Adjacent and the non-shared sides form
a line (when put together, they make a
straight angle)
LINEAR PAIR
– Adjacent & non-shared sides form a line
The blue and green angles form a linear pair
LINEAR PAIR
– Adjacent & non-shared sides form a line
The blue and green angles form a linear pair
LINEAR PAIR
– Adjacent & non-shared sides form a line
The blue and green angles form a linear pair
LINEAR PAIR
– Adjacent & non-shared sides form a line
The blue and green angles form a linear pair
Vertical Angles
Formed when two lines intersect.
These angles are not adjacent - they
are “across from each other.”
VERTICAL ANGLES
– Formed by intersection of 2 lines and are across
from each other (not adjacent)
The blue and green angles are vertical angles
VERTICAL ANGLES
– Formed by intersection of 2 lines and are across
from each other (not adjacent)
The blue and green angles are vertical angles
VERTICAL ANGLES
– Formed by intersection of 2 lines and are across
from each other (not adjacent)
The blue and green angles are vertical angles
VERTICAL ANGLES
– Formed by intersection of 2 lines and are across
from each other (not adjacent)
The blue and green angles are vertical angles
Complementary Angles
Angles whose measures sum to 90º
COMPLEMENTARY ANGLES
– Angles whose measures sum to 90º
The blue and green angles are complementary
COMPLEMENTARY ANGLES
– Angles whose measures sum to 90º
The blue and green angles are complementary
COMPLEMENTARY ANGLES
– Angles whose measures sum to 90º
(they don’t have to be adjacent)
65º
25º
The blue and green angles are complementary
COMPLEMENTARY ANGLES
– Angles whose measures sum to 90º
(they don’t have to be adjacent)
70º
20º
The blue and green angles are complementary
Supplementary Angles
Angles whose measures sum to 180º
SUPPLEMENTARY ANGLES
– Angles whose measures sum to 180º
The blue and green angles are supplementary
SUPPLEMENTARY ANGLES
– Angles whose measures sum to 180º
The blue and green angles are supplementary
SUPPLEMENTARY ANGLES
– Angles whose measures sum to 180º
160º
20º
The blue and green angles are supplementary
SUPPLEMENTARY ANGLES
– Angles whose measures sum to 180º
20º
160º
The blue and green angles are supplementary