![subject](/tpl/images/cats/mat.png)
Mathematics, 11.12.2020 07:50 ginger1234
Question: Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is . This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Answers:
a. (StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
b. (StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
c. (StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
d. (StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
![ansver](/tpl/images/cats/User.png)
Answers: 1
![](/tpl/images/ask_question.png)
![](/tpl/images/ask_question_mob.png)
Other questions on the subject: Mathematics
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 15:00, jonesromari
What are the constants in this expression? -10.6+9/10+2/5m-2.4n+3m
Answers: 3
![image](/tpl/images/cats/mat.png)
![image](/tpl/images/cats/mat.png)
You know the right answer?
Question: Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° c...
Questions in other subjects:
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/biologiya.png)
Biology, 14.10.2020 21:01
![Konu](/tpl/images/cats/obshestvoznanie.png)
![Konu](/tpl/images/cats/istoriya.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 14.10.2020 21:01
![Konu](/tpl/images/cats/mat.png)
Mathematics, 14.10.2020 21:01
![Konu](/tpl/images/cats/mat.png)
Mathematics, 14.10.2020 21:01
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/himiya.png)
![Konu](/tpl/images/cats/en.png)
English, 14.10.2020 21:01