O Q 3. Mandy was working on this proof: In these figures, AB 1 AD, EF 1 FG, and 2 1 23 B G H. Prove: 22 설 24 Proof: E Statements Reasons 1. AB I AD, EF1 FG, and Z1Z3 | 2. m21+ m22 = 90°, mZ3 + mZ4 = 90° | 2. Definition of perpendicularity Z1 is complementary to 2 1. Given 3. Two angles that form a 90° angle are 3. 23 is complementary to Z4 4. 22설24 complementary to each other. 4. ? What is the missing statement for the last step of Mandy's proof? O The transitive property of equality O If 2 angles are complementary to congruent angles, then the 2 angles are congruent. Definition of perpendicular lines O If 2 angles are congruent to equal angles, then the 2 angles are congruent.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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What is the missing statement for the last step of Mandy’s proof?
D 3. Mandy was working on this proof:
In these figures, AB 1 AD, EF 1 FG, andZ1= 3.
B
Prove: 22 Z4
Proof:
Statements
Reasons
1. AB 1 AD, EFI FG, and Z123
1. Given
2. m21 + mZ2 = 90°, mZ3 + m/4 = 90
2. Definition of perpendicularity
Z1 is complementary to 22
3.
3. Two angles that form a 90° angle are
complementary to each other.
Z3 is complementary to Z4
4. 22 24
4. ?
What is the missing statement for the last step of Mandy's proof?
O The transitive property of equality
O If 2 angles are complementary to congruent angles, then the 2 angles are congruent.
Definition of perpendicular lines
O If 2 angles are congruent to equal angles, then the 2 angles are congruent.
Transcribed Image Text:D 3. Mandy was working on this proof: In these figures, AB 1 AD, EF 1 FG, andZ1= 3. B Prove: 22 Z4 Proof: Statements Reasons 1. AB 1 AD, EFI FG, and Z123 1. Given 2. m21 + mZ2 = 90°, mZ3 + m/4 = 90 2. Definition of perpendicularity Z1 is complementary to 22 3. 3. Two angles that form a 90° angle are complementary to each other. Z3 is complementary to Z4 4. 22 24 4. ? What is the missing statement for the last step of Mandy's proof? O The transitive property of equality O If 2 angles are complementary to congruent angles, then the 2 angles are congruent. Definition of perpendicular lines O If 2 angles are congruent to equal angles, then the 2 angles are congruent.
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