Draw the line of reflection that reflects ABC onto AA'B'C'.
1 answer:
Answer:
Line of reflection → x = 1
Step-by-step explanation:
Coordinates of B → (3, 2)
Coordinates of B' → (-1, 2)
If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.
Coordinates of the midpoint of the segment joining B and B'
=
=
= (1, 2)
Line of reflection will pass through this midpoint (1, 2)
Therefore, equation of the line of reflection will be,
x = 1
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Answer:
FG = 9.7ft
Step-by-step explanation:
Find the diagram in the attachment.
The diagram is a right angled triangle since one of its angle is 90°
Using SOH CAH TOA to calculate the length FG which is the hypotenuse.
According to SOH
Sin∠G = Opposite/Hypotenuse
To get the ∠G,
∠F+∠H+∠G = 180°
18°+90°+∠G = 180°
∠G = 180°-108°
∠G = 72°
Sin72° = 9.2/FG
FG = 9.2/sin72°
FG = 9.67feet
FG = 9.7ft (to the nearest tenth of a foot)
