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Parallel Postulate

if there is a line and a point not on the line then there is exactly one line through the point parallel to the given line

alternate interior, alternate exterior, corresponding angles, interior angles

names of congruent angles found on 2 parallel cut by a transversal

Exterior angle theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

SAS congruence postulate

if two sides and the included angle are congruent to two sides and the included angle of a second triangle, then those two triangles are congruent

HL congruence postulate

if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second triangle, then the triangles are congruent

Midsegment theorem

the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side

Perpendicular Bisector Theorem

if the perpendicular bisector goes through a vertex of a triangle the legs will be congruent

triangle proportionality theorem

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

congruence transformation

transformation that preserves size and orientation

Corresponding angles- alternate interior angle- alternate exterior angle- consecutive interior angles

Names of congruent angles found on two parallel cut by a transversal

HL congruence theorem

Two triangles are congruent if the hypotenuse and a leg of a right triangle are congruent to a hypotenuse and leg of another

Base Angles Theorem

If 2 sides of a triangle are congruent then the angles opposite are congruent (used with isosceles)

Triangle proportinality theorem

if a line parallel to one side of a triangle intercepts the other two sides, then it divides the two sides proportinally