p 40 ce 1-10 all
1) Reflexive property of congruence 2) Transitive property of= 3) Symmetric property of = 4) Subtraction property of = 5) Division Property of = 6) Multiplication property of = 7) Distributive property 8) Addition property of = 9) Substitution property 10) Transitive property |
p 41 we 1-6 all
1) Given Addition property of = Division Property of = 2) Given multiplication property of = Division Property of = 3) Given multiplication property of = subtraction Property of = 4) Given Addition property of =subtraction Property of = Division Property of = 5) Given multiplication property of = distributive property Addition property of = Division Property of = 6) Given multiplication property of = distributive property subtraction property of = Addition property of = Division Property of = |
practice worksheet 2-2
1) Addition property of =
2) Division property of =
3) transitive PROPERTY OF = (OR SUBSTITUTION PROP OF =)
4) ANGLE ADDITION POSTULATE
5) SUBTRACTION PROPERTY OF =
NOTE: THE STUFF I WROTE TO THE RIGHT OF THE ANSWERS BELOW IS JUST TO HELP YOU IF YOU ARE NOT GETTING IT, YOU ARE NOT RESPONSIBLE TO WRITE THIS AS PART OF YOUR ANSWERS.
6) 2. addition PROPERTY OF = ADD UP THE LEFT AND THE RIGHTS OF THE STATEMENTS IN STEP 1
3. SEGMENT ADDITION POSTULATE LOOK AT THE FIGURE AN APPLY THE POSTULATE
7) 2. TRANSITIVE PROPERTY OF= TRANSIT ALL IN STEP 1 SINCE BOTH ARE = TO 180
4. subtraction PROPERTY OF = CANCEL STEP 3 OFF OF STEP 2
8) 2. REFLEXIVE PROPERTY OF = EASY ONE!
3. ANGLE ADDITION POSTULATE LOOK AT THE FIGURE AND APPLY THE POSTULATE
4. SUBSTITUTION PROPERTY PLUG THE ANGLE SUMS FROM STEP 3 INTO STEP 1
5. SUBTRACTION PROPERTY OF = CANCEL THE ANGLE 2'S FROM STEP 2 WITH STEP 4
1) Addition property of =
2) Division property of =
3) transitive PROPERTY OF = (OR SUBSTITUTION PROP OF =)
4) ANGLE ADDITION POSTULATE
5) SUBTRACTION PROPERTY OF =
NOTE: THE STUFF I WROTE TO THE RIGHT OF THE ANSWERS BELOW IS JUST TO HELP YOU IF YOU ARE NOT GETTING IT, YOU ARE NOT RESPONSIBLE TO WRITE THIS AS PART OF YOUR ANSWERS.
6) 2. addition PROPERTY OF = ADD UP THE LEFT AND THE RIGHTS OF THE STATEMENTS IN STEP 1
3. SEGMENT ADDITION POSTULATE LOOK AT THE FIGURE AN APPLY THE POSTULATE
7) 2. TRANSITIVE PROPERTY OF= TRANSIT ALL IN STEP 1 SINCE BOTH ARE = TO 180
4. subtraction PROPERTY OF = CANCEL STEP 3 OFF OF STEP 2
8) 2. REFLEXIVE PROPERTY OF = EASY ONE!
3. ANGLE ADDITION POSTULATE LOOK AT THE FIGURE AND APPLY THE POSTULATE
4. SUBSTITUTION PROPERTY PLUG THE ANGLE SUMS FROM STEP 3 INTO STEP 1
5. SUBTRACTION PROPERTY OF = CANCEL THE ANGLE 2'S FROM STEP 2 WITH STEP 4
P 46 WE 1-8 ALL, 11, 13, 14, 19
1) definition of a midpoint 2) definition of an angle bisectior 3) definition of an angle bisectior 4) angle addition postulate 5) definition of a midpoint 6) midpoint theorem 7) angle addition postulate 8) segment addition postulate 11) 70 13) A) 12 B) 28 C) 6 D) 22 14) 18 & 54 |
19) 1) GIVEN 2) RULER POSTULATE 3) GIVEN 4) DEFINITION OF THE MIDPOINT 5) SUBSTITUTION PROPERTY 6) 2X = a+ b 6) ADDITION PROPERTY OF EQUALITY 7) DIVISION PROPERTY OF = |
Section 2.5 p 58 we 1-12all, 14-25all
Section 2.6 p62 we 1-22 all
answers to worksheet chapter 2 2 step proofs after section 2.5
# 1 is given for almost all questions(EXCEPT #6) so the answers below are for reason #2
1) 2. def of angle bisectior
2) 2. subtraction prop of =
3) 2. If the exterior sides of 2 acute adjacent angles are perpendicular, then the 2 angles are complementary.
4) 2. If t lines form congruent adjacent angles, then the lines are perpendicular.
5) 2. Def of complementary angles
6) 2. If 2 angles are vertical, then they are congruent. (verical angels are congruent)
7) 2. Def of perpendicular lines
8) 2. Midpoint theorem ( If a point is the midpoint of a segment, then it divides the segment into 2 segments that are each 1/2 the measure of the whole segment)
9) 2. Def of complementary angles
10) 2. If 2 lines are perpendicular, then they form congruent adjacent angles.
11) 2. Substitution property of =
12) 2. Substitution prop of = or Transitive prop of =
13) 2. Def of segment bisector
14) OOPS! this was messed up! using the given and prove provided m<1 +m<2 =180 should be the angle addition postulate
15) 2. Def of complementary angles
16) 2. Substitution prop of = or transitive prop of =
17) 2. If the exterior sides of 2 acute adjacent angles are perpendicular, then the 2 angles are complementary.
# 1 is given for almost all questions(EXCEPT #6) so the answers below are for reason #2
1) 2. def of angle bisectior
2) 2. subtraction prop of =
3) 2. If the exterior sides of 2 acute adjacent angles are perpendicular, then the 2 angles are complementary.
4) 2. If t lines form congruent adjacent angles, then the lines are perpendicular.
5) 2. Def of complementary angles
6) 2. If 2 angles are vertical, then they are congruent. (verical angels are congruent)
7) 2. Def of perpendicular lines
8) 2. Midpoint theorem ( If a point is the midpoint of a segment, then it divides the segment into 2 segments that are each 1/2 the measure of the whole segment)
9) 2. Def of complementary angles
10) 2. If 2 lines are perpendicular, then they form congruent adjacent angles.
11) 2. Substitution property of =
12) 2. Substitution prop of = or Transitive prop of =
13) 2. Def of segment bisector
14) OOPS! this was messed up! using the given and prove provided m<1 +m<2 =180 should be the angle addition postulate
15) 2. Def of complementary angles
16) 2. Substitution prop of = or transitive prop of =
17) 2. If the exterior sides of 2 acute adjacent angles are perpendicular, then the 2 angles are complementary.