1.
| Statements
1) <3 is congruent to <6
2) <3 is supp. to <4
3) ,5 is supp. to <6
4) <4 is congruent to <5
5) KR is congruent to PR
6) <KRO is congruent to <PRM
7) <KRM is congruent to <PRO
8) Triangle KRM is congruent to triangle PRO. |
Reasons
1) Given
2) If two <s form a straight <, then they are supp.
3) Same as #2
4) <s supp. to congruent <s are congruent.
5) Given
6) Given.
7) Subtraction Property
8) ASA |
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2.
| Statements
1) Circle O; A is perpendicular to CB
2) CO is congruent to BO
3) AO is congruent to AO
4) <AOB is congruent to <AOC
5) Triangle AOB is congruent to triangle AOC
6) <C is congruent to <B |
Reasons
1) Given
2)All radii of a circle are congruent
3)Reflexive
4) Perpendicular lines form rt. <s, rt. <s are
congruent.
5)SAS
6) CPCTC |
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3.
| Yes,
the triangles are congruent. X=6 |
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4.
| Statements
1) PA is congruent to PC, BA is congruent to BC
2) PB is congruent to PB
3) Triangle PBA is congruent to triangle PBC |
Reasons
1) Given
2) Reflexive
3)SSS |
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