(a) 3.1 cm
(b) 6.2 cm
(c) 7.4 cm
(d) 9.3 cm
Construct the line segments equal in lengths to the line segments given belor
3. Construct the line segments of the following lengths using the compasses.bbzgnzjznz
Answers
Answer:
Essential Question ssential Question How can you measure and construct a
line segment?
Measuring Line Segments Using
Nonstandard Units
Work with a partner.
a. Draw a line segment that has a length
of 6 inches.
b. Use a standard-sized paper clip to
measure the length of the line segment.
Explain how you measured the line
segment in “paper clips.”
c. Write conversion factors from paper clips
to inches and vice versa.
1 paper clip = in.
1 in. = paper clip
d. A straightedge is a tool that you can use to draw a straight line. An example of a
straightedge is a ruler. Use only a pencil, straightedge, paper clip, and paper to draw
another line segment that is 6 inches long. Explain your process.
Measuring Line Segments Using
Nonstandard Units
Work with a partner.
a. Fold a 3-inch by 5-inch index card
on one of its diagonals.
b. Use the Pythagorean Theorem
to algebraically determine the
length of the diagonal in inches.
Use a ruler to check your answer.
c. Measure the length and width of the index card in paper clips.
d. Use the Pythagorean Theorem to algebraically determine the length of the diagonal
in paper clips. Then check your answer by measuring the length of the diagonal in
paper clips. Does the Pythagorean Theorem work for any unit of measure? Justify
your answer.
Measuring Heights Using Nonstandard Units
Work with a partner. Consider a unit of length that is equal to the length of the
diagonal you found in Exploration 2. Call this length “1 diag.” How tall are you in
diags? Explain how you obtained your answer.
Communicate Your Answer ommunicate Your Answer
4. How can you measure and construct a line segment?
MAKING SENSE
OF PROBLEMS
To be prof cient in math,
you need to explain to
yourself the meaning of
a problem and look for
entry points to its solution.