Which statement correctly identifies the line of reflection?
1 answer:
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Answer:
Option D is correct.
FE = 13 units
Step-by-step explanation:
As per the statement: F is the midpoint of AB and E is the midpoint of AC.
If and
By midpoint theorem of line states that the points on a line segment equally distant from the two endpoints.
Then, by midpoint theorem of line we have;
Substitute the given values we have;
Multiply both sides by 2 we getl;
Using distributive property:
2x + 10 = 3x+ 2
Subtract 2 from both sides we get;
2x + 8 = 3x
Subtract 2x from both sides we have;
8 = x
or
x =8 units.
We have to find the value of FE.
FE = x +5 = 8+5 =13 units
Therefore, the value of FE is, 13