Andy was given a line segment. He constructed a line segment bisector of the line segment using the paper folding method. He was told that the line segment bisector divided his line segment into pieces that are each 2.9 centimeters long. How long was Andy’s original line segment?
(1 point)
Responses
5.8 cm
5.8 cm
1.45 cm
1.45 cm
2 cm
2 cm
2.9 cm
Andy’s original line segment was 5.8 cm long.
To find the length of Andy's original line segment, we can multiply the length of each of the bisected pieces by the number of pieces.
Since each bisected piece is 2.9 centimeters long, and Andy has two pieces after the line segment is divided, we can calculate the original line segment length by multiplying 2.9 centimeters by 2.
Therefore, the length of Andy's original line segment is 2.9 cm * 2 = 5.8 cm.
So the correct answer is 5.8 cm.
To solve this problem, we can use the concept of folding a line segment to find its bisector. Let's break down the steps to find the length of Andy's original line segment:
Step 1: Understand the problem
Andy has been given a line segment, and he constructed a line segment bisector using the paper folding method. The bisector divides the line segment into two equal parts, each measuring 2.9 centimeters.
Step 2: Determine the length of one part
Since the bisector divides the line segment into two equal parts, each measuring 2.9 centimeters, we need to find the length of one part.
Step 3: Calculate the length of the original line segment
To find the length of the original line segment, we need to double the length of one part (since the bisector divides it into two equal parts).
Now let's calculate the length of the original line segment:
Length of one part = 2.9 cm
Length of the original line segment = 2 * Length of one part
Length of the original line segment = 2 * 2.9 cm
Length of the original line segment = 5.8 cm
Therefore, Andy's original line segment measures 5.8 centimeters.