Answer:
C. JK and LM are congruent
Step-by-step explanation:
Given the coordinates J(-2,8), K(0,8), L(1,0), and M(1,-2), in other to determine whether JK is congruent to LM, we need to determine if the length of side JK and LM are equal i.e JK = LM
To get JK:
We will find the distance between the coordinates J(-2,8), K(0,8) to get the length JK using the formula:
JK =√(x2-x1)²+(y2-y1)²
JK = √(0-(-2))²+(8-8)²
JK = √2²+0²
JK = √4
JK = 2
For the length of LM with coordinate L(1,0), and M(1,-2)
LM = √(1-1)²+(-2-0)²
LM = √0²+(-2)²
LM = √0²+2²
LM = √0+4
LM =√4
LM = 2
Since JK = LM = 2 units, this means that JK and LM are congruent.
