Pairs of Angles

Download Report

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