The graph shows the locations of karen's, amanda's, and zaley's houses on a coordinate plane. each unit on the graph represents 1 block.

a coordinate plane is shown. amandas house is located at 1, negative 1, karens house is located at 1, 5, and zaleys house is located at 6, negative 1. line segments connect the three points to form a right triangle.

zaley is going to babysit for amanda and karen. how many total blocks will she travel if she goes to amanda's house, then to karen's, and finally back home? round your answer to the nearest whole block.

well here we would use the Pythagorean theorem: A^2 +B^2 =C^2

A and B are the legs, so Amanda's distance is A and Zaley's is B

5^2+6^2= C^2

now we find the square root of 5 and 6

5x5= 25 and 6x6= 36

25+36= 61

now we have 61^2 = C^2 and we find the square root,

the square root of 61 is 7.8 but we can round up to 8

so Karen's distance is 8 blocks

now we take Amanda, Zaley and Karen's blocks and add them.

5+6+8 = 19

so Zaley is traveling 19 blocks total

i hope this helped (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

19 blocks

Step-by-step explanation:well here we would use the Pythagorean theorem: A^2 +B^2 =C^2A and B are the legs, so Amanda's distance is A and Zaley's is B5^2+6^2= C^2now we find the square root of 5 and 6 5x5= 25 and 6x6= 36 25+36= 61now we have 61^2 = C^2 and we find the square root, the square root of 61 is 7.8 but we can round up to 8 so Karen's distance is 8 blocks now we take Amanda, Zaley and Karen's blocks and add them.5+6+8 = 19 so Zaley is traveling 19 blocks total

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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