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# Geometry Chapter 4

### Geometry Chapter 5

TermDefinition
triangle polygon with 3 sides and 3 angles
scalene triangle no congruent sides
isosceles triangle at least 2 congruent sides
equilateral triangle 3 congruent sides and angles (60 degrees)
acute 3 angles less than 90 degrees
right one angle is 90 degrees, the other two are acute
obtuse one angle is more than 90 degrees, the other two are acute
equiangular 3 congruent angles
congruent triangles... fit on top of each other
CPCTC corresponding parts of congruent triangles are congruent
SSS side, side, side
SAS side, angle, side (angle in between congruent sides)
ASA angle, side, angle (side in between congruent angles)
AAS angle, angle, side (side is not between congruent angles)
hypotenuse opposite right angle, longest side of triangle
legs 2 congruent sides of isosceles triangle
SAS --> LL
ASA --> LA
ASS --> HL
AAS --> LA or HA
the sum of the measures of the angles of a triangle = 180 degrees
if 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are congruent
remote interior angles farthest away from exterior angle, sum equals the exterior angle
exterior angles angle formed from a line extended out from the base of a triangle (makes linear pair with non-remote interior angle)
corollary a statement that can easily be proven using a theorem (in between a postulate and a theorem)
proof with angles or segments in the prove last step is CPCTC
proof with triangles in the prove last step is a reason like SAS or AAS, etc.
2 steps needed in every right triangle proof def of perpendicular, and def of right triangle
base noncongruent side of isosceles triangle
vertex where the legs intersect
base angles formed where legs intersect base, congruent
steps in coordinate geometry proof 1. draw an accurate figure on graph 2. use tools to make necessary calculations 3. write a conclusion based on your results
tips for drawing a good diagram for a coordinate geometry proof use as many zeroes as possible, use as few variables as possible
distance formula length, equal, congruent in prove
slope formula parallel, perpendicular, right angle in prove
midpoint formula half, bisect in prove
overlapping triangle proof tips use more than 1 pair of congruent triangles, first pair uses given symbols/information, redraw triangles you are using separated, use CPCTC sometimes more than once, look for common sides or angles
Created by: ts2819
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