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Space Race
Defend Earth from alien invaders
parallel
coplanar lines that do not intersect; everywhere equidistant

perpendicular
intersecting at 90 degree angles

vertical angle theorem
Vertical angles are congruent

linear pair
two supplementary adjacent angles; opposite rays form a straight line

corresponding angles postulate
if // lines are crossed by a transversal, corresponding angles are congruent

alternate interior angles theorem
if // lines are crossed by a transversal, alternate interior angles are congruent

same side interior angle theorem
if // lines are crossed bya transversal, same side interior angles are supplementary

triangle sum theorem
the sum of the angles in a triangle is 180

Isosceles triangle theorem
the base angles of an isosceles triangle are congruent

reflexive property
AB = AB

transitive property
if A = B and B =C, then A = C

symmetric property
AB = BA

converse of Isosceles triangle theorem
If 2 angles in a triangle are congruent, then the sides opposite those angles are also congruent

180(n-2)
Sum of the degrees of a polygon with 'n' sides

angle bisector
line, segment, or ray that splits an angle into two equal angles

perpendicular bisector
line, segment or ray that intersects a segment at its midpoint at a 90 degree angle

midpoint
point on a segment exactly halfway between the endpoints

HL theorem
If the hypotenuse and one of the legs of a right triangle are congruent to the hypotenuse and one of the legs of another right triangle, then the triangles are congruent

SSS
If 3 sides of one triangle are congruent to 3 sides of another, then the triangles are congruent

SAS
If two sides and the INCLUDED angle of one triangle are congruent to two sides and the INCLUDED angle of another, then the triangles are congruent

ASA
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent

AAS
If any two angles and one side of a triangle are congruent to two angles and a side of another triangle, then the triangles are congruent

vertex of isosceles triangle
angle formed by the two congruent legs

base angles
angles opposite the two congruent legs of an isosceles triangle

hypotenuse
longest side of a right triangle; opposite the right angle

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