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Level 138

Theorems


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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