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geometry proofs
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Gravity
Key Concepts:
Terms in this set (33)
midpoint
center point of a line segment that creates 2 congruent segments
perpendicular lines
Lines that intersect to form right angles
segment/ perpendicular bisector
a line that divides the segment in half at the midpoint creating 2 congruent segments
plane
a space of 2 dimensions that extends with out an end in all directions made of infinite lines and points
collinear
points that lie on the same line
angle bisector
a ray/line that divides an angle in half and creates 2 congruent angles
ray
a portion of a line consisting of one endpoint and extending infinitely in the opposite direction
linear pair
2 adjacent angles that lie on a straight line whose sum is 180 degrees
-also called supplementary angles
vertical angles
lines that intersect to form opposite angles that are congruent
-across from each other when lines intersect
scalene
a triangle with no congruent sides
isosceles
having two equal sides
equilateral
having all sides equal
median
line segment that connects from a vertex to the midpoint of the opposite side
altitude
line segment that connects from a vertex and is perpendicular to opposite side
polygons
a regular poly has equal sides and angles
centroid
point in a triangle where all three medians intersect
-centroid divides each median in a triangle in a 2 to 1 ratio
orthocenter
the point in a triangle where all three altitudes intersect
supplementary angles
180
complementary angles
90
Transitive Property
If a=b and b=c, then a=c
aas
good
sss
good
sas
good
asa
good
ssa
bad
aaa
bad
Reflexive Property
A quantity is congruent (equal) to itself. a = a
Addition Postulate
If equal quantities are added to equal quantities, the sums are equal.
subtraction postulate
If equal quantities are subtracted from equal quantities, the differences are equal.
symmetric property
if a=b, then b=a
subtraction property
If a=b, then a-c=b-c
hypotenuse leg
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
CPCTC
Corresponding Parts of Congruent Triangles are Congruent
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