In rectangle ABCD, slope of `AB=5/(6)`. State the slope of
CD

Answer

To find the slope of line segment CD in rectangle ABCD, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the properties of a rectangle**: In a rectangle, opposite sides are parallel and have the same slope.

2. **Identify the given information**: We are given that the slope of line segment AB (let's denote it as \( m_1 \)) is \( \frac{5}{6} \).

3. **Establish the relationship between slopes**: Since AB is parallel to CD, we can use the property that states if two lines are parallel, their slopes are equal. Therefore, the slope of CD (let's denote it as \( m_2 \)) will be equal to the slope of AB.

4. **Set up the equation**: From the property of parallel lines, we can write:
\[ m_1 = m_2 \]

5. **Substitute the known value**: We know that \( m_1 = \frac{5}{6} \). Therefore:
\[ m_2 = \frac{5}{6} \]

6. **Conclusion**: The slope of line segment CD is also \( \frac{5}{6} \).

### Final Answer:
The slope of line segment CD is \( \frac{5}{6} \).

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