Question

JK has endpoints J(-3,-1) and K(0,3). RS has endpoints R(1,1) and S(4,4). Is JK ~= RS? Explain how do you know? Need help with a lot

Answer 1

JK has endpoints J(-3,-1) and K(0,3).

Consider the length of JK.

For the given points
`(x_1,y_1)` and
`(x_2,y_2)`, distance(or length) is given by the formula
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Length JK =
`√((0+3)^2+(3+1)^2)`

=
`\sqrt {25}`

= 5 units

RS has endpoints R(1,1) and S(4,4).

Length JK =
`√((4-1)^2+(4-1)^2)`

=
`\sqrt {18}`

=
`3 \sqrt2` units

Since, length of both the segments are not equal.

Therefore, the segments JK and RS are not congruent.