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Coordinate Plane Word Problems - Grade 10

This worksheet focuses on solving real-world problems using coordinate geometry concepts, including distance, midpoint, and slope.

Grade 10 Math Math Word ProblemsCoordinate Plane Word Problems
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Includes

4 Short AnswerMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSG.GPE.B.7
7 sections · Free to use · Printable
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Coordinate Plane Word Problems

Name:

Date:

Score:

Read each word problem carefully and use your knowledge of coordinate geometry to solve them. Show all your work.

1. A drone takes off from point A (2, 3) and flies to point B (8, 11). If each unit on the coordinate plane represents 1 kilometer, what is the distance the drone traveled?

02468101224681012

2. Sarah is planning a treasure hunt. She buried a treasure exactly halfway between two landmarks. Landmark 1 is at (-4, 7) and Landmark 2 is at (10, -3). What are the coordinates of the treasure's location?

-12-10-8-6-4-224681012-12-10-8-6-4-224681012

3. A ski lift starts at point (1, 200) and ends at point (10, 800), where the coordinates are in meters. What is the slope of the ski lift's path? Explain what the slope means in this context.

05101520253035404550556065707580859095100105110115120125130135140145150155160165170175180185190195200205210215220225230235240245250255260265270275280285290295300305310315320325330335340345350355360365370375380385390395400405410415420425430435440445450455460465470475480485490495500505510515520525530535540545550555560565570575580585590595600605610615620625630635640645650655660665670675680685690695700705710715720725730735740745750755760765770775780785790795800805810815820825830835840845850855860865870875880885890895900905910915920925930935940945950955960965970975980985990995100051015202530354045505560657075808590951001051101151201251301351401451501551601651701751801851901952002052102152202252302352402452502552602652702752802852902953003053103153203253303353403453503553603653703753803853903954004054104154204254304354404454504554604654704754804854904955005055105155205255305355405455505555605655705755805855905956006056106156206256306356406456506556606656706756806856906957007057107157207257307357407457507557607657707757807857907958008058108158208258308358408458508558608658708758808858908959009059109159209259309359409459509559609659709759809859909951000

4. A rectangular park has vertices at (1, 1), (1, 7), (9, 7), and (9, 1). What is the perimeter of the park?

a

14 units

b

24 units

c

32 units

d

48 units

5. A ship is located at (5, 12) on a naval map. A distress signal is detected from a submarine at (1, 9). If the ship can travel 2 units per hour, how long will it take the ship to reach the submarine? (Assume a straight path and that each unit represents 1 nautical mile).

024681012142468101214

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