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Mathematical Proofs: Mastery Test
1. ZBOC and ZCOD are complementary angles;
BO intersects AD at point O
2. m/BOC+ m/COD = 90°
3. m/BOD = 90°
1. given
2. definition of complementary angles
3. substitution property of equality
4. ZAOB and ZBOD are supplementary angles 4. linear pair theorem
5. m/AOB + m/BOD = 180°
6. m/AOB + 90° = 180°
5. definition of supplementary angles
6. substitution property of equality
7. subtraction property of equality
7. mZAOB = 90°
8. mZAOB = m/BOD
9. ZAOB
BOD
8. substitution property of equality
9. definition of congruent angles
There is a step missing in the proof. Identify where in the proof there is a missing step and what this step should be.
There is a missing step between
true because of the
mtum All rights reserved
because the student did not state m/BOC+m/COD = m/
✓
This statement is
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Mario Bros
Sub

Sagot :

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