Question

J(-3,4), K(3,0), L(5,3), M (-1,7). Find the desired slopes and lengths, then fill in the words that BEST identifies the type of quadrilateral. Answer Attempt 1 out of 2

slope of JK =
slope of KL =
slope of LM =
slope of MJ =
Quadrilateral JKLM can BEST be described as
length of JK =
length of KL =
length of LM =
length of MJ = ​

Answer 1

The desired slopes and lengths of quadrilateral JKLM can be calculated using specific formulas. Based on these values, the quadrilateral can be described as a parallelogram.

Step-by-step explanation:

The slopes can be calculated using the formula m = (Y2 - Y1)/(X2 - X1).
Let's find the slopes first:
slope of JK = (0 - 4)/(3 - (-3))

= -4/6

= -2/3
slope of KL = (3 - 0)/(5 - 3)

= 3/2
slope of LM = (7 - 3)/(-1 - 5)

= 4/-6

= -2/3
slope of MJ = (4 - 7)/(-3 - (-1))

= -3/-2

= 3/2

Now, let's find the lengths:

length of JK = sqrt((3 - (-3))^2 + (0 - 4)^2)

= sqrt(36 + 16)

= sqrt(52)

= 2sqrt(13)

length of KL = sqrt((5 - 3)^2 + (3 - 0)^2)

= sqrt(4 + 9)

= sqrt(13)

length of LM = sqrt((-1 - 5)^2 + (7 - 3)^2)

= sqrt(36 + 16)

= sqrt(52)

= 2sqrt(13)

length of MJ = sqrt((-3 - (-1))^2 + (4 - 7)^2)

= sqrt(4 + 9)

= sqrt(13)

Based on the slopes and lengths, the quadrilateral JKLM can be described as a

parallelogram