![subject](/tpl/images/cats/mat.png)
Mathematics, 16.12.2020 19:00 sandyyknguyen2155
Given that AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯, and AP¯¯¯¯¯≅BQ¯¯¯¯¯, which of the following proves that AO¯¯¯¯¯≅BO¯¯¯¯¯ and PO¯¯¯¯¯≅OQ¯¯¯¯¯?
A.
1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)
2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
3. m∠A=m∠B=90∘ (Def. of ⊥)
4. ∠A≅∠B (Rt. ∠s ≅ Thm.)
5. ∠AOP≅∠BOQ (Vert. ∠s Thm.)
6. △OAP≅ △OBQ (AAS Steps 4, 5, 1)
7. AO¯¯¯¯¯≅BO¯¯¯¯¯, PO¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)
B.
1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)
2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
3. m∠A=m∠B=180∘ (Def. of ⊥)
4. AO¯¯¯¯¯≅OB¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
5. △AOP≅ △BOQ (SAS Steps 1, 5, 4)
6. AO¯¯¯¯¯≅OP¯¯¯¯¯, BO¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)
C.
1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)
2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
3. m∠A=m∠B=180∘ (Def. of ⊥)
4. ∠A≅∠B (Supp. ∠s ≅ Thm.)
5. ∠AOP≅∠BOQ (Adj. ∠s Thm.)
6. △OAP≅△OBQ (AAS Steps 4, 5, 1)
7. AO¯¯¯¯¯≅OP¯¯¯¯¯, BO¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)
D. 1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)
2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
3. m∠A=m∠B=180∘ (Def. of ⊥)
4. ∠A≅∠B (Supp. ∠s ≅ Thm.)
5. ∠AOP≅∠BOQ (Adj. ∠s Thm.)
6. △OAP≅△OBQ (AAS Steps 4, 5, 1)
7. AO¯¯¯¯¯≅OP¯¯¯¯¯, BO¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)
![ansver](/tpl/images/cats/User.png)
Answers: 2
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 19:00
How can you tell when x and y are not directly proportional?
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 21:30
Which of the following is a solution of z^6 = 64i? 2(cos105° + isin105°) 2(cos120° + isin120°) 2(cos135° + isin135°) 8(cos15° + isin15°)
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 23:00
Alex measured the length of an item to be 3.7 cm. the actual length is 3.5 cm. what is alex’s percent error?
Answers: 2
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 23:40
Typically a point in a three dimensional cartesian coordinate system is represented by which of the following answers in the picture !
Answers: 1
You know the right answer?
Given that AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯, and AP¯¯¯¯¯≅BQ¯¯¯¯¯, which of the following proves that...
Questions
![question](/tpl/images/cats/informatica.png)
Computers and Technology, 17.12.2021 01:00
![question](/tpl/images/cats/mat.png)
Mathematics, 17.12.2021 01:00
![question](/tpl/images/cats/ekonomika.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/ekonomika.png)
Business, 17.12.2021 01:00
![question](/tpl/images/cats/mat.png)
Mathematics, 17.12.2021 01:00
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/biologiya.png)
![question](/tpl/images/cats/ekonomika.png)
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 17.12.2021 01:00
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/ekonomika.png)
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 17.12.2021 01:00