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Honors Geometry
Chapter 2 Practice Test Proofs Study Guide Key
1. Transitive property
2. Addition property
3. Subtraction property
4. Reflexive property
5. Transitive property
6. A. <KAT, reason: angle addition postulate
B.M<2= m<1, reason: definition of an angle bisector
c. <SAL, reason: linear pair postulate
d. x=11
REMEMBER: ANSWERS MAY VARY FOR #7
7.
1. M<ACD= m<BDC
2. M<1= m<3
3. M<1+m<2= m<ACD
4. M<3+m<4= m<BDC
5. M<1 + m<2= m<3+m<4
6. M<3 + m<2= m<3+m<4
7. M<2= m<4
8. <2≅ <4
1.Given
2.Given
3.Angle addition postulate
4. Angle addition postulate
5.transitive property
6. Substitution property
7. Subtraction property
8.def of congruent segments
8.
1. <1≅<5
2. <4, <5 are a linear pair
3. <4, <5 are supplementary
4. m<1=m<5
5. m<4+m<5= 180
6. m<1+m<4=180
7. <1, <4 are supplementary
1.given
2. definition of a linear pair
3. linear pair postulate
4. definition of congruent angles
5. def of supplementary angles
6. substitution prop
7.def of supplementary angles
9.
1. <2≅<3
2. <1, <2 are a linear pair
3. <1, <2 are supplementary
4. m<1+m<2=180
5. m<2=m<3
6. m<1+m<3=180
7. <1, <3 are supplementary
1. given
2. definition of a linear pair
3. linear pair postulate
4. def of supplementary angles
5. def of congruent angles
6. substitution prop
7.def of supplementary angles
Honors Geometry
Chapter 2 Practice Test Proofs Study Guide Key
10.
̅̅̅̅
̅̅̅̅ ≅ 𝑆𝑈
1. 𝑅𝑇
2. RT=SU
3. RS+ST=RT
4. TU+ST=SU
5. TU+ST=RS+ST
6. TU=RS
7.RS=TU
1.given
2. def of congruent segments
3. segment addition postulate
4. segment addition postulate
5. transitive property
6. subtraction property
7.symmetric property
11.
1. AB=BC, BC=BD
2. AB=BD
3. ̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐵𝐷
4. B is the midpoint of ̅̅̅̅
𝐴𝐶
1.given
2.transitive prop
3. def of congruent segments
4. def of a midpoint
12.)
2
1. 5-3 x=1
1.given
2. - 3x= -4
2. Subtraction property
3. x=6
3. multiplication or division property
2
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