Grade 10 · Math · Geometry

10th grade Distance from a point to a line, and between two parallel lines worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Distance from a point to a line, and between two parallel lines

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

P and the line y = -3; the shortest route from P meets the line at a right angle. Ren walks a dog from a gate at P(-4, 5) on a grid. A straight fence runs along y = -3. How far is P from it, in units?
P and the line x = 1; the shortest route from P meets the line at a right angle. Tala rides from a bike rack at P(6, -2) on a grid. A straight bike lane runs along x = 1. How far is P from it, in units?
Zee walks from a front door at P(-5, 4) on a grid. A straight sidewalk runs along x = 3. How far is P from it, in units?
P and the line y = 2; the shortest route from P meets the line at a right angle. Ari jogs from a water stop at P(8, -7) on a grid. A straight track runs along y = 2. How far is P from it, in units?
Bo marks a lookout on a trail map at P(7, 1) on a grid. A straight trail runs along x = -4. How far is P from it, in units?
Jun draws a straight road with slope -3 on a town map. What is the slope of a road perpendicular to it?
Kira draws a straight road with slope 1/2 on a town map. What is the slope of a road perpendicular to it?
Use the picture in question 6.
Luz draws a straight road with slope -2/5 on a town map. What is the slope of a road perpendicular to it?
Use the picture in question 6.
Milo draws a straight road with slope 4 on a town map. What is the slope of a road perpendicular to it?
Use the picture in question 6.
Noah draws a straight road with slope 3/4 on a town map. What is the slope of a road perpendicular to it?
Use the picture in question 6.

Distance from a point to a line. Every version has 10 questions, and the answer key prints on the second page.

I can find the distance from a point to a flat or upright grid line.
I can write the slope of a perpendicular line, and the perpendicular line through a point.
I can find where the shortest route from a point meets a line, its length, and the distance between parallel lines.

Standard: G-GPE.B.5, G-GPE.B.7

perpendicular: Meeting at a right angle. Slopes multiply to -1.

foot of the perpendicular: Where the right-angle route from the point meets the line.

distance from a point to a line: The length of the right-angle route: the shortest one.

parallel lines: Lines with the same slope; they never meet.

Your child used the wrong coordinate for the distance to a grid line.

Your child dropped a minus sign, so a gap across zero came out too short.

Your child flipped the slope but kept its sign.

Ask: does the route go up and down, or across?

Ask: how far is it from -3 to 5?

Ask: if one road goes uphill, does the road at a right angle go up or down?

What is the most common mistake with distance from a point to a line, and between two parallel lines?

Your child used the wrong coordinate for the distance to a grid line.

How can I help my child with distance from a point to a line, and between two parallel lines?

Ask: does the route go up and down, or across?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records