Barbara W. answered • 08/26/12

Math Magic EPCOT engineering week presenter

Use these terms and do an Internet seach for the examples.

TERM ANGLE DEFINITION

Included The angle made by two lines with a common vertex.

This term is the one that includes all the following

angles terms. It is the superset.

Angles from a protractor (for a circle):

----------------------------------------

acute greater than 0 degrees and less than 90 degrees

right 90 degrees

obtuse greater than 90 degrees and less than 180 degrees

straight 180 degrees (vertex attaches 2 half lines going opposite directions)

reflex greater than 180 and less than 360 degrees

full rotation 360 degrees (vertex attaches 2 half lines that are the same)

Angles from two intersecting lines:

-----------------------------------

adjacent formed when two intersecting lines form angles

that are supplimentary (side by side) to each other.

The sum of the degrees when both angles are added = 180.

They share a vertex, share the same two lines,

and share one common arm (portion) on those lines.

vertical formed when two intersecting lines form angles that

share a common vertex, share the same two lines,

but share no common arms (portions) of those lines.

opposite same definition as vertical. They share the same vertex.

When angles are created by a transversal line intersecting with two

parallel lines, we also get these angles:

-------------------------------------------------------------------

corresponding angles with the same degree on both parallel lines,

on the SAME side of the transveral line

alternating angles with the same degree on both parallel lines,

on the OPPOSITE side of the transversal line.

Angles in an isosceles triangle:

--------------------------------

vertex angle formed by the two congruent (equal) sides

base angle formed by the base (non equal) side

note: the other side is one of the congruent sides.

Angles inside and outside a polygon:

------------------------------------

interior angles created inside the polygon shape,

formed by two sides and the vertex attaching them

exterior angles formed by an adjacent angle (see above) for

the sides that reside on a line.