*If line segment AB is divided at point C, what is the length of segment AC?*
1️⃣ 2AB
2️⃣ segment CB
3️⃣ Line AB
4️⃣ 1/3 AB
Answers
Correct Question 1) :- If line segment AB is divided at point C at half , what is the length of segment AC ?
1) 2AB
2) segment CB
3) Line AB
4) 1/3 AB
Solution :-
Point C is dividing line segment AB at half , that means in ratio as 1 : 1 .
- AC = CB .
then,
→ AC = (1 / 1 + 1) of AB
→ AC = (1/2) of AB
therefore, we can conclude that,
→ AC = CB . (Option 2) (Ans.)
Correct Question 2) :- If line segment AB is divided at point C in ratio 1 : 2 , what is the length of segment AC ?
1) 2AB
2) segment CB
3) Line AB
4) 1/3 AB
Solution :-
Point C is dividing line segment AB in ratio 1 : 2 .
so,
- AC : CB = 1 : 2
then,
→ AC = (1/1 + 2) of AB
→ AC = (1/3) of AB
→ AC = (1/3)AB . (Option 4) (Ans.)
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SOLUTION
TO CHOOSE THE CORRECT OPTION
If line segment AB is divided at point C, what is the length of segment AC
1. 2AB
2. Segment CB
3. Line AB
4. 1/3 AB
EVALUATION
Here it is given that the line segment AB is divided at point C
⇒ C is the midpoint of the line segment AB
⇒ AC = CB
⇒ The length of segment AC = The length of segment CB
FINAL ANSWER
Hence the correct option is
2. Segment CB
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