Answer: XY = 2 units
Step-by-step explanation:
Given that :
ΔEFG ≅ ΔXYZ
Then, segments :
EF = XY, FG = YZ and EG = XZ
GIVEN THAT :
E (0, 0), F (0, 2), and G (3, 0)
We can find the distance between coordinates E (0, 0), F (0, 2) to get the measure of XY since they are both congruent.
EF = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
x1 = 0, y1= 0, x2 = 0, y2 = 2
EF = sqrt[(0 - 0)^2 + (2 - 0)^2]
EF = sqrt[ 0 + 4]
EF = 2
SINCE EF = XY
XY = 2 units
