math.wiki
Worksheets › Geometry › Chapter 2
Sign in
Geometry · Chapter 2 · Lesson 2.8 · Printable PDF

Distance from a Point to a Line Worksheet with Answer Key

8 problems on the distance from a point to a line: horizontal and vertical lines, perpendicular feet, nearest points, parallel lines, and word problems about trees, pipes and water mains. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Distance from a point to a line worksheet with answer key - Geometry (Page 1 PDF preview)
Page 1 of 2

Download

Worksheet PDFAnswer key

Get this sheet

This sheetWorksheet and answer key, yours to keep.
$5
Buy
SubscriptionOpen any sheet in any course, up to 40 a month, keys included. Or $40 month to month.
$25/mo, billed yearly
Subscribe
Full Course Set510+ Geometry PDF files, no limit, yours to keep.
$400once
Buy

Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

The full Geometry courseEvery lesson in teaching order, with over 510 printables.See the course ›

What's on the worksheet

  1. Find each distance between a point and a line, or between two lines:
    (5, −2) and the line y = 6(−3, 4) and the line x = 2.5(−13, −1) and the y-axis(0, −6) and the line y = -6the lines y = -7 and y = 1.5
  2. Find how far along the path each bench is from the tree's nearest point.
  3. Find the points on a line that are a given distance from another line.
  4. Find the foot of the perpendicular from P to a line and the closest point of a segment.
  5. Find x that makes two lines parallel and name the angle pair.
  6. Find where the pipe from the farmhouse meets the water main and its length.
  7. Write the equation of a parallel line and find the distance between the two lines.
  8. Prove a fact about parallel lines cut by a transversal and the distance between them.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Distance from a point to a line: the lesson ›

More Chapter 2 worksheets: Angle pairs, parallel lines and first proofs