Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. Statement A: If the measurement of an angle is less than 90°, then it is acute. Statement B: ∠BOY measures less than 90°. Conclusion: ___________________ Law used: ____________________

Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. Statement A: If the measurement of an angle is less than 90°, then it is acute. Statement B: ∠BOY measures less than 90°. Conclusion: _ Law used: __

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 4E: In Exercise 3 and 4, supply statements. Given: mAOBm1mBOCm1 Prove: OB bisects AOC PROOF Statements...

See similar textbooks

Similar questions

The Angle-Addition Postulate can be generalized as follows: The measure of an angle equals the sum of measures of its parts. State a general conclusion regarding mGHK based on the figure shown.
Suppose ABC and DEF have the same measure. Which statements are expressed correctly? a mABC=mDEF b ABC=mDEF c mABCmDEF d mABCmDEF
a If mBC=69, then mBOC=_____________. b If mBC=64, then mBAC=_______________.
In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?
In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is also acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?
Assuming that statements 1 and 2 are true, draw a valid conclusion if possible. 1 If two angles are both right angles, then the angles are congruent. 2 R and S are not congruent. C ? _________ _____________
If HandJ are supplementary in HJKL, are a KandL necessarily supplementary also. b HandK necessarily supplementary.
In Exercise 3 and 4, supply statements. Given: mAOBm1mBOCm1 Prove: OB bisects AOC PROOF Statements Reasons 1. ? 1. Given 2. ? 2. Substitution 3. ? 3. Angles with equal measures are congruent. 4. ? 4. If a ray divides an angle into two congruent angles, then the ray bisects the angle.
Fill in the missing statements or reasons. Given: 1P 4P VP bisects RVO Prove: TVPMVP Proof Statements Reasons 1. 1P 1. Given 2. ? 2. Given 1, 2 3. ? 3. Transitive Property of 3 4. m1=m4 4. ? 5. VP bisects RVO 5. ? 6. ? 6. If a ray bisects an , it forms two s of equal measure 4, 6, 7. ? 7. Addition Property of Equality 8. m1+m2=mTVP; m4+m3=mMVP; 8. ? 7, 8 9. mTVP=mMVP 9. ? 10. ? 10. If two s are = in measure, then they are
What relationship, if any, exists between two angles a with measures of 37 and 53? b with measures of 37 and 143?