Question
ΔA'B'C' is a translation of ΔABC. What is the length of A'C' ?
An image displaying the triangle ABC of sides AB equals 5 units, BC equals 3 units and AC equals 6 units in the first quadrant and its translation A'B'C' in the fourth quadrant.
A.
6 units
B.
3 units
C.
14 units
D.
5 units
An image displaying the triangle ABC of sides AB equals 5 units, BC equals 3 units and AC equals 6 units in the first quadrant and its translation A'B'C' in the fourth quadrant.
A.
6 units
B.
3 units
C.
14 units
D.
5 units
Answers
GPT-4o mini
In a translation, the lengths of the sides of the triangle remain unchanged. Therefore, since ΔA'B'C' is a translation of ΔABC, the side lengths of ΔA'B'C' will be the same as those of ΔABC.
In your provided information, we understand:
- AB = 5 units
- BC = 3 units
- AC = 6 units
Since we're specifically interested in the length of side A'C', we can look at the corresponding side in triangle ABC which is AC. Hence, the length of A'C' will also be 6 units.
So, the answer is:
**A. 6 units**
In your provided information, we understand:
- AB = 5 units
- BC = 3 units
- AC = 6 units
Since we're specifically interested in the length of side A'C', we can look at the corresponding side in triangle ABC which is AC. Hence, the length of A'C' will also be 6 units.
So, the answer is:
**A. 6 units**