Megan and his friends were at the playground. There were 2 seesaws. At the current position, one had a slope of – and the other had a slope of . Would these seesaws be parallel, perpendicular, or neither? O perpendicular O parallel O neither
Megan and his friends were at the playground. There were 2 seesaws. At the current position, one had a slope of – and the other had a slope of . Would these seesaws be parallel, perpendicular, or neither? O perpendicular O parallel O neither
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![Megan and his friends were at the playground. There were 2 seesaws. At the current position, one had a slope of \(-\frac{3}{2}\) and the other had a slope of \(\frac{2}{3}\). Would these seesaws be parallel, perpendicular, or neither?
- ⭕ perpendicular
- ⭕ parallel
- ⭕ neither
**Explanation:**
To determine if the seesaws are parallel or perpendicular, we need to understand the relationship between their slopes.
- **Parallel:** Lines are parallel if they have the same slope. In this case, \(-\frac{3}{2}\) and \(\frac{2}{3}\) are not equal, so the seesaws are not parallel.
- **Perpendicular:** Lines are perpendicular if the product of their slopes is \(-1\). Calculate:
\[
\left(-\frac{3}{2}\right) \times \left(\frac{2}{3}\right) = -1
\]
Since the product is \(-1\), the lines are perpendicular.
Thus, the correct answer is: **perpendicular**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc74fed68-15ec-4cea-82a7-c53d3f7ad587%2Fd8dde3b9-910f-4163-8d9e-c6a2cae5b52b%2Fyuuhf6i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Megan and his friends were at the playground. There were 2 seesaws. At the current position, one had a slope of \(-\frac{3}{2}\) and the other had a slope of \(\frac{2}{3}\). Would these seesaws be parallel, perpendicular, or neither?
- ⭕ perpendicular
- ⭕ parallel
- ⭕ neither
**Explanation:**
To determine if the seesaws are parallel or perpendicular, we need to understand the relationship between their slopes.
- **Parallel:** Lines are parallel if they have the same slope. In this case, \(-\frac{3}{2}\) and \(\frac{2}{3}\) are not equal, so the seesaws are not parallel.
- **Perpendicular:** Lines are perpendicular if the product of their slopes is \(-1\). Calculate:
\[
\left(-\frac{3}{2}\right) \times \left(\frac{2}{3}\right) = -1
\]
Since the product is \(-1\), the lines are perpendicular.
Thus, the correct answer is: **perpendicular**.
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