Angles. Advanced Geometry Inductive Reasoning Lesson 2. Rays. Drawn as: a line with one endpoint and one arrowhead. N. D. Named by: 2 points and a ray symbol. the endpoint must be named first. the arrow always points to the right.
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Drawn as: a line with one endpoint and one
Named by: 2 points and a ray symbol
the arrow always points to the right
Opposite rays are two collinear rays that point in opposite directions.
Parts of an Angle
vertex – the common endpoint
sides – the rays
on the angle
Use an angle symbol and…
- the number inside the angle.
- the vertex point.
*You can only use this method if there is ONE angle at the vertex.
Name the sides of
Write another name for
Name all angles that have B as
Adjacent angles are beside each other.
They share a vertex and side.
They do not overlap.
Vertical angles are NOT adjacent.
They share a vertex only.
Vertical angles are congruent.
Angles of a linear pair ARE adjacent.
They share a vertex
and a side.
Remember: If two rays are opposite rays, they create a straight line.
two angles that form a linear pair
two acute vertical angles
sum of 90
sum of 180
LINEAR PAIRS ARE
If BCE and ECD are supplementary, find ECF and FCD.
Find the measures of two supplementary angles if the difference in the measures of the two angles is 32.
The complement of an angle is 3.5 times smaller than the supplement of the angle. Find the measure of the angle.