# 3-6 Study Guide and Intervention ```NAME _____________________________________________ DATE ____________________________ PERIOD _____________
3-6 Study Guide and Intervention
Perpendiculars and Distance
Distance From a Point to a Line When a point is not on a line, the
distance from the point to the line is the length of the segment that contains
the point and is perpendicular to the line.
⃡ .
Example: Construct the segment that represents the distance from E to 𝑨𝑭
⃡ . Draw 𝐸𝐺
⃡ ⊥ 𝐴𝐹
⃡ .
Extend 𝐴𝐹
̅̅̅̅
⃡ .
𝐸𝐺 represents the distance from E to 𝐴𝐹
Exercises
Construct the segment that represents the distance indicated.
1. C to ⃡𝐴𝐵
2. D to ⃡𝐴𝐵
⃡
3. T to 𝑅𝑆
⃡
4. S to 𝑃𝑄
⃡
5. S to 𝑄𝑅
⃡
6. S to 𝑅𝑇
Chapter 3
36
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
3-6 Study Guide and Intervention (continued)
Perpendiculars and Distance
Distance Between Parallel Lines The distance between parallel lines is the length of a segment that has an endpoint
on each line and is perpendicular to them. Parallel lines are everywhere equidistant, which means that all such
perpendicular segments have the same length.
Example: Find the distance between the parallel lines l and m with the equations y = 2x + 1 and y = 2x – 4,
respectively.
Exercises
Find the distance between each pair of parallel lines with the given equations.
1. y = 8
y = –3
2. y = x + 3
y=x–1
3. y = –2x
y = –2x – 5
```