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used to find distance between two points by taking absolute value of difference of their coordinates.
part of a conditional statement following "if" but not including the word "if." ex: "if you're a girl, then you're hot" the ____ is "you're a girl"
part of conditional statement following "then" but not including the word "then." ex: "if Ke$ha were educated, then she should not be nearly as famous" the _____ is "she would not be nearly as famous."
both conditional and converse are both true. (all geometry definitions can be written as this).
two angles whose sides form two pairs of opposite rays and they are congruent angles
logical thinking where we use different postulates and theorems, definitions and properties to prove something.
if 3 sides of one triangle are congruent to 3 sides of another triangle, triangles are congruent.
if 2 sides and included angle of one ∆ are congruent to 2 sides and the included angle of another ∆, triangles are congruent.
if 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another ∆, triangles are congruent.
if 2 angles and a non-inclined side of 1 ∆ are congruent to 2 angles and non-inclined side of another ∆, triangles are congruent.
in 2 right triangles, the hypotenuse and leg are congruent to the hypotenuse and leg of the other triangle, triangles are congruent.
isosceles triangle theorem
if 2 sides of a ∆ are congruent, then the angles opposite those sides are also congruent.
exterior angle inequality theorem
measure of an exterior angle of a ∆ is greater than the measure of either remote interior angle.
statement and contrapositive are logically equivalent. converse and inverse are logically equivalent.
a proof in which you 1) assume temporarily the opposite of what you're trying to prove. 2) Reason logically until you reach a contradiction of a known fact. 3) point out that the temp. assumption is false and that the conclusion is true.
statement that asks to temporarily assume that the opposite of what you're trying to prove is true.
if 2 sides of one ∆ are congruent to 2 sides of another ∆, but the included angle of the first ∆ is larger than the included angle of the second, the third side of the fist ∆ is longer than the third side of the second ∆
if 2 sides of a ∆ are congruent to 2 sides of another ∆, but the third side of the first ∆ is longer than the third side of the second ∆, then the included angle of the first ∆ is larger that the included angle of the second ∆.
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