📐 Topic Summary
Parallel lines are lines that never intersect. A key way to identify them is by their slopes. If two lines have the same slope, they are parallel. It's important to remember that vertical lines are parallel if they have undefined slopes and different x-intercepts. Let's practice recognizing parallel lines using their slopes! 🤓
vocabularies
Match the term with the correct definition:
| Term |
Definition |
| 1. Slope |
a. The point where a line crosses the y-axis |
| 2. Parallel Lines |
b. The measure of the steepness of a line |
| 3. Y-intercept |
c. Lines that never intersect and have the same slope |
| 4. Undefined Slope |
d. A line that goes straight up and down. |
| 5. X-intercept |
e. The point where a line crosses the x-axis |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms: Parallel, same, intersect, slope, undefined.
Two lines are considered __________ if they never __________. A key characteristic of parallel lines is that they have the __________ __________. However, vertical lines have an __________ slope and are parallel if they never intersect.
🤔 Part C: Critical Thinking
Explain, in your own words, why parallel lines must have the same slope. What would happen if they had different slopes?
