Proving Triangles Congruent Mixed Problems. StatementReason 1. Given 2. Given Pg. 7 #1 4. 2 adjacent...
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Transcript of Proving Triangles Congruent Mixed Problems. StatementReason 1. Given 2. Given Pg. 7 #1 4. 2 adjacent...
![Page 1: Proving Triangles Congruent Mixed Problems. StatementReason 1. Given 2. Given Pg. 7 #1 4. 2 adjacent angles that form a straight line are a linear pair.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649ea05503460f94ba396d/html5/thumbnails/1.jpg)
Proving Triangles Congruent
Mixed Problems
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Statement Reason
1. Given
2. Given
Pg. 7 #1
21 2.
pairlinear a form and 2 pairlinear a form and 1 .4
GDCFBC
4. 2 adjacent angles that
form a straight line are a linear pair
DGCBFC ΔΔ .8 ASAASA .8
BD C ofmidpoint theis 1.
5. Linear pairs are supplementaryarysupplement are and 2
arysupplement are and 1 .5GDCFBC
.6 GDCFBC 6. Supplements of congruent angles are congruent
CDB C .3 3. A midpoint divides a segment into 2 congruent parts
4 3 .7 7. Vertical angles are congruent
![Page 3: Proving Triangles Congruent Mixed Problems. StatementReason 1. Given 2. Given Pg. 7 #1 4. 2 adjacent angles that form a straight line are a linear pair.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649ea05503460f94ba396d/html5/thumbnails/3.jpg)
Statement Reason
1. Given
Pg. 7 #2
1. ADFA
anglesright are and .5 DA 5. Perpendicular segments
form right angles
DCEABF ΔΔ .11 SASSAS .11
6. All right angles are congruentDA 6.
CBCB 7.
2. Given 2. ADED 3. Given 3. DEAF 4. Given 4. DBAC
7. Reflexive postulate
CBDBCBAC .8 8. Subtraction Postulate
9. Partition Postulate
CDAB 10. 10. Substitution Postulate
CDCBDBABCBAC
.9
![Page 4: Proving Triangles Congruent Mixed Problems. StatementReason 1. Given 2. Given Pg. 7 #1 4. 2 adjacent angles that form a straight line are a linear pair.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649ea05503460f94ba396d/html5/thumbnails/4.jpg)
Statement Reason
1. Given
2. Given
Pg. 7 #3
CBAD 1.
CBAADC ΔΔ .4 SASSAS .4
ACAC .3 3. Reflexive postulate
21 2.
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Statement Reason
RSTP base median to a is 2. 2. Given
Pg. 7 #4
RSP ofmidpoint theis 3.
SPRP 4.
3. A median extends from a vertex to a midpoint of the opposite side of a triangle.
4. A midpoint divides a segment into 2 congruent parts
1. Given
TPTP 5. 5. Reflexive postulate
SPTRPT ΔΔ .6 SSSSSS .6
STRTRST
with triangleIsosceles 1.
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Statement Reason
ABCD median to a is 1.
3. Given
Pg. 7 #5
CFCE 3.
1. Given
CDCD 9. 9. Reflexive postulate
BDCADC ΔΔ .10 SSSSSS .10
FBEA 2. 2. Given
FBCFEACE .6 6. Addition Postulate
7. Partition Postulate
CBCA 8. 8. Substitution Postulate
CBFBCF
CAEACE
.7
ABD ofmidpoint theis 4.
DBAD 5.
4. A median extends from a vertex to a midpoint of the opposite side of a triangle.
5. A midpoint divides a segment into 2 congruent parts
![Page 7: Proving Triangles Congruent Mixed Problems. StatementReason 1. Given 2. Given Pg. 7 #1 4. 2 adjacent angles that form a straight line are a linear pair.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649ea05503460f94ba396d/html5/thumbnails/7.jpg)
Statement Reason
FBCACB 2. 2. Given
Pg. 7 #7
EBCE 5.
FBCD 6.
5. A midpoint divides a segment into 2 congruent parts
BCE ofmidpoint theis 1. 1. Given
BFECDE ΔΔ .7 SASSAS .7
ADFB 4. 4. Given
CDAD 3. 3. Given
6. Substitution postulate
![Page 8: Proving Triangles Congruent Mixed Problems. StatementReason 1. Given 2. Given Pg. 7 #1 4. 2 adjacent angles that form a straight line are a linear pair.](https://reader035.fdocuments.us/reader035/viewer/2022072014/56649ea05503460f94ba396d/html5/thumbnails/8.jpg)
Statement Reason
QMRM 2. 2. Given
Pg. 7 #8
anglesright are and 5. SMPSML
SMPSML 6.
5. Perpendicular segments form right angles
LPMS
ofbisector lar perpendicu theis 1. 1. Given
QPMRLM ΔΔ .10 SASSAS .10
MPLM 4. 4. A segment bisector divides a segment into 2 congruent parts
ba 3. 3. Given
6. All right angles are congruent
bSMPaSML .7 7. Subtraction Postulate
8. Partition Postulate
QMPRML 9. 9. Substitution Postulate
QMPbSMPRMLaSML
.8