Answer:
GH = 7.2 FALSE
m∠I = 105° FALSE
m∠G = 105° TRUE
FI = 6.8 TRUE
Step-by-step explanation:
Polygon JKLM is reflected across a vertical line to FGHI
Since it is a vertical reflection, the reflected image has the following relationship to the original image
Original Reflected
Point Point
L ⇔ H
K ⇔ G
M ⇔ I
J ⇔ F
Original Reflected
Line Line
--------------------------------
LK ⇔ GH
JK ⇔ FG
GH = 7.2
Since value of LK is not given and GH ≠ LM
the statement GH = 7.2 is FALSE
m∠I = 105°
∠I corresponds to ∠M which is not 105°
Hence this statement is false
m∠G = 105°
∠G corresponds to ∠K
m∠G = m∠K = 105°
This statement is TRUE
FI = 6.8
FI corresponds to side JM
FI = JM = 6.8
So this statement is true
