Question

Distances in a City $\quad$ A city has streets that run north and south, and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points $A$ and $B$ is 7 blocks $-$ that is, 3 blocks east and 4 blocks north. To find the straight-line distances $d,$ we must use the Distance Formula. (a) Find the straight-line distance (in blocks) between $A$ and $B$ . (b) Find the walking distance and the straight-line distance between the corner of 4 th St. and 2 nd Ave. and the corner of 11 th St. and 26 th Ave. (c) What must be true about the points $P$ and $Q$ if the walking distance between $P$ and $Q$ equals the straight-line distance between $P$ and $Q ?$

          Distances in a City $\quad$ A city has streets that run north and south, and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points $A$ and $B$ is 7 blocks $-$ that is, 3 blocks east and 4 blocks north. To find the straight-line distances $d,$ we must use the Distance Formula.
(a) Find the straight-line distance (in blocks) between $A$ and $B$ .
(b) Find the walking distance and the straight-line distance between the corner of 4 th St. and 2 nd Ave. and the corner of 11 th St. and 26 th Ave.
(c) What must be true about the points $P$ and $Q$ if the walking distance between $P$ and $Q$ equals the straight-line distance between $P$ and $Q ?$

Added by Timothy A.

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