Distance from a point to a line, and between two parallel lines
Grade 10 Math Worksheet
Circle the best answer, or write your answer on the line.
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Grid
P and the line y = x + 1; the route from P meets the line at a right angle at F.
Ren sits on a park bench at P(5, 0) and goes the shortest way to a straight path along y = x + 1. Where does the route meet it?
Grid
P and the line y = −x + 6; the route from P meets the line at a right angle at F.
Tala walks a dog from a gate at P(3, 7) and goes the shortest way to a straight fence along y = −x + 6. Where does the route meet it?
Zee rides from a bike rack at P(-2, 3) and goes the shortest way to a straight bike lane along y = 2x − 3. Where does the route meet it?
Ari walks from a front door at P(5, 1) and goes the shortest way to a straight sidewalk along y = (1/2)x + 1. Where does the route meet it?
Bo jogs from a water stop at P(5, -1), near a straight track along y = x − 2. Give an exact answer, simplified. What is the shortest distance from P to it?
Esme marks a lookout on a trail map at P(5, 1), near a straight trail along y = 2x + 1. Give an exact answer, simplified. What is the shortest distance from P to it?
P and the line y = 3x − 4. The shortest route meets the line at a right angle. Kira walks a dog from a gate at P(-4, 4), near a straight fence along y = 3x − 4. Give an exact answer, simplified. What is the shortest distance from P to it?
Luz rides from a bike rack at P(4, 1). A straight bike lane runs along y = 2x + 1. Which line through P is perpendicular to it?
- y = −(1/2)x + 3
- y = (1/2)x − 1
- y = 2x − 7
- y = −2x + 9
Milo walks from a front door at P(3, 6). A straight sidewalk runs along y = −(1/3)x + 2. Which line through P is perpendicular to it?
- y = (1/3)x + 5
- y = −(1/3)x + 7
- y = −3x + 15
- y = 3x − 3
Noah jogs from a water stop at P(2, 5). A straight track runs along y = (1/2)x − 1. Which line through P is perpendicular to it?
- y = −(1/2)x + 6
- y = (1/2)x + 4
- y = 2x + 1
- y = −2x + 9