Exercise 1 Given: oWINS is a parallelogram with ZW a right angle Prove: 21, ZN, and zS are right angles IN Proof: Statements Reasons 1. 2. mzW = 90° 3. 1. Given 2. 3. In a parallelogram, opposite sides are congruent. 4. 4. mzW = mzN mzl = mzS 5. mzN = 90° 6. mzW + mzl = 180° 7. 90° + mzl = 180° 8. 9. mzl = 90° 10. 11. 2l, ZN, and zS are right angles 12. 5. 6. 7. 8. Reflexive Property 9. 10. Substitution (SN 4 and 9) 11. 12. Definition of rectangle %3D

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter74: Introduction To Compound Angles
Section: Chapter Questions
Problem 9A
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Exercise 1
Given: oWINS is a parallelogram with
ZW a right angle
Prove: 21, ZN, and zS are right angles
Proof:
Statements
Reasons
1.
2. mzW = 90°
3.
1. Given
2.
3. In a parallelogram, opposite sides are
congruent.
4.
4. mzW = mzN
mzl = mzS
5. mZN = 90°
6. mzW + mzl = 180°
7. 90° + mzl = 180°
8.
9. mzl = 90°
10.
11. 21, ZN, and S are right angles
12.
5.
6.
7.
8. Reflexive Property
9.
10. Substitution (SN 4 and 9)
11.
12. Definition of rectangle
Transcribed Image Text:Exercise 1 Given: oWINS is a parallelogram with ZW a right angle Prove: 21, ZN, and zS are right angles Proof: Statements Reasons 1. 2. mzW = 90° 3. 1. Given 2. 3. In a parallelogram, opposite sides are congruent. 4. 4. mzW = mzN mzl = mzS 5. mZN = 90° 6. mzW + mzl = 180° 7. 90° + mzl = 180° 8. 9. mzl = 90° 10. 11. 21, ZN, and S are right angles 12. 5. 6. 7. 8. Reflexive Property 9. 10. Substitution (SN 4 and 9) 11. 12. Definition of rectangle
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