Download Sections 1.4-1.5 - Leon County Schools

Bellwork:
1.
Find the distance between (0,7) and (5,9)
2.
Find the distance between (3,6) and (12, 20)
3.
Find the midpoint of the segment with
endpoints (1,9) and (7,18)
4.
Find the midpoint of the segment with
endpoints (0,22) and (15, 99)
5.
Find the other endpoint of the segment with
endpoint (5,2) and midpoint (8, 11)
1.4 and 1.5- Angle
Measure and
Relationships
Notes

An Angle is a measure formed by two rays or
lines at the point they intersect

The rays are the sides of the angle, and the
intersection is the vertex of the angle.

The Interior of the angle is the region containing
all points inside the rays

The exterior of the angle is the region containing
all points outside of the angle
Notes(cont.)

Angles are generally measured in degrees

To indicate the measure of an angle, write a
lowercase m in front of the angle name

Postulate 1-7: Consider a ray AB with a point C
on one side of AB. Every ray of the form AC can
be paired one to one with a real number
between 0 and 180
Angle Types
 What
are congruent angles?

Postulate 1-8 If point B is in the interior of angle
AOC then the measure of angle AOB + the
measure of angle BOC is equal to the measure
of angle AOC
Notes

Adjacent Angles are Two coplanar angles with a common
…
side, common vertex, and no common
interior points

Vertical Angles are… Two angles whose sides are opposite rays

Complementary
Angles are…

Supplementary Angles
are…
Two angles whose measures sum to 90°
Two angles whose measures sum to 180 °

A Linear Pair is a pair of adjacent angles whose
noncommon sides are opposite rays.

Postulate 1-9 – If two angles form a linear pair,
they are supplementary

An Angle Bisector is a ray that divides an angle
into two congruent angles
Homework
1.4:
1.5:
6, 11, 12, 16, 18, 22
7-10, 16, 18, 24, 27
Honors:
1.4: Add 32, 36
1.5: Add 31, 38
Quiz!!!!!