Identity
a+o=a
a multiplied by i=a
Communitive(order changes)
a+b=b+a
a multiplied by b = b multiplied by a.
Associative(paremthesismove)
(a+b)+c=a+(b+c)
(ab)c=a(bc)
Inverse
a+(-a)=0
a multiplied by 1 over a = 1
REFER TO 1-7 NOTES!!!
Example 1:
AM=AM (reflexive)
Definition of angle bisector: A ray that cuts an angle into 2 congruent angles.
Bisector Thm: If ray AY is the bisector, the measure f angle XAY = 1/2 of the measure of angle XAZ.
Midpoint Thm: Point lies directly in between 2 other points and cuts them in half.
Definition of betweeness: 3 distinct point R,S,T. S is in between R and T. If they are collinear, then RS=ST=RT.
Example 2:
Given: A is between B and C.
Prove: BA=BC-AC
Statements:
1. A is between B and C.
2. BA+AC=BC
3. BA=BC-AC
Reasons:
1. Given
2. Definition of betweeness
3. Subtration
Thm 4-4: If a triangle is a right triangle, then the acute angles are complementary.
Thm 4-5: If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the 3rd angles are congruent.
Thm 4-6: All right angles are congruent.
Thm 4-7: If 2 angles are congruent and supplementary, then each angle is a right angle.
What is the answer to example 1?