angles
DESCRIPTION
Angles. Acute angle ( def ) - angle measure less than 90° Right angle ( def ) - angle measure= 90° Obtuse angle ( def ) - angle measure greater than 90° Straight angle ( def ) - angle = 180° Interior of angle Exterior of angle. - PowerPoint PPT PresentationTRANSCRIPT
Angles
Acute angle (def)- angle measure less than 90°
Right angle (def)- angle measure= 90°
Obtuse angle (def)- angle measure greater than 90°
Straight angle (def)- angle = 180° Interior of angle
Exterior of angle
To Name an Angle- A. Use 3 letters (vertex in the middle)B. Number it. C. IF there is ONLY ONE angle with that vertex, you may use a single letter (the vertex).
A D
is NOT appropriate for this sketch b/cvertex 1 there are 3 angles with the vertex B. 2 C
Congruent angles- angles that have = measures.
- measure of an angle
ABD 1
m ABC
B
Adjacent Angles (def)-2 coplanar angles that share a common ray. They must have a common vertex.
• Complementary <‘s are 2 angles whose measures have a sum of 90.
m<1 + m<2 = 90• Supplementary <‘s are 2 angles whose
measures have a sum of 180. m<1 + m<2 = 180
°
or
50° 40°
COMPLEMENTARY ANGLES may or may not be adjacent.
COMPLEMENTARY ANGLES may or may not be
SUPPLEMENTARY ANGLES may or may not be adjacent.
SUPPLEMENTARY ANGLES may or may not be
or
145° 35°
Linear Pair (def)-adjacent angles whose non-common sides form a line. (describes)
• Linear Pairs are Supplementary. If <1 and <2 form a linear pair, then they are supplementary.
m<1 + m<2 = 180
Angle Bisector(def)- is a ray that divides the angle into 2 congruent angles.
A
D
B C
ABD DBC
Angle Addition Postulate- sum of the parts = whole
The angles must be adjacent.
m ABD m DBC m ABC
A D
B C
Vertical Angles(def)- 2 nonadjacent angles formed by intersecting lines (describes)
1
4 2 3
If 2 angles are vertical, then they are congruent. (value)