Blake drew square ABCD. Then, he drew the image of it, square A ' B ' C ' D', 2 centimeters to the right of the original figure. Line segment BC is 3 centimeters. How long is ¯¯¯¯¯¯¯¯ B ' C'?
A.
1 cm
B.
3 cm
C.
5 cm
D.
6 cm
To find the length of segment B'C', we need to understand the properties of squares and their corresponding sides.
Since square ABCD and square A'B'C'D' are congruent, we know that they have the same side lengths.
Given that line segment BC is 3 centimeters, we can determine that all sides of square ABCD are also 3 centimeters.
Since square A'B'C'D' is 2 centimeters to the right of square ABCD, we know that the length of B'C' is equal to the length of BC plus 2 centimeters.
Therefore, the length of B'C' is 3 cm + 2 cm = 5 cm.
Answer: C. 5 cm
To find the length of segment B'C', we need to consider the given information. Since line segment BC is 3 centimeters long, we can conclude that segment B'C' is also 3 centimeters long.
Therefore, the correct answer is B. 3 cm.
math
since you don't say anything about scaling or dilation, all the sides of the image are the same as the original sides. ABCD is congruent to A'B'C'D'.
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