In Exercise 11 and 12, provide the missing statements and reasons.
Given: |
|
||
Prove: |
|
||
PROOF | |||
Statements | Reasons | ||
1.
|
1. ? | ||
2.
|
2. The sum of the measures of complementary
|
||
3.
|
3. ? | ||
4. ? | 4. Subtraction Property of Equality | ||
5. ? | 5. If two
|
||
To find:
The missing statements and reasons.
Given:
The given figure is,
Figure (1)
And,
The given table is shown below.
PROOF | |
Statements | Reasons |
1. |
1. ? |
2. |
2. The sum of the measures of complementary |
3. |
3. ? |
4. ? | 4. Subtraction Property of Equality |
5. ? | 5. If two |
Approach:
1. The perpendicular lines are two lines that meet to form congruent adjacent angles.
2. If two lines are perpendicular, then they meet to form right angles.
3. If two angles are congruent, their measures are equal.
4. The symmetric property for the congruence of angles is satisfied, If
5. If the sum of the measures of two angles is
Calculation:
The first statements of the proof are “
The reason for the first statements is “Given”
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