The scale on a drawing is 3:1. Which statement is true? Select all that apply.
A.
The scale drawing is three times the size of the actual object.
B.
The scale drawing is 31 times the size of the actual object.
C.
The scale drawing is one-third the size of the actual object.
D.
If the actual object is 2 cm long, the scale drawing will be 6 cm long.
E.
If the actual object is 6 cm long, the scale drawing will be 6 cm long.
F.
If the actual object is 6 cm long, the scale drawing will be 2 cm long.
C is right. D is wrong.
what is the other one?
Huh?????
i meant f
Yes, f.
you was wrong it was d and a
Pretty sure it’s c
To determine which statements are true, we need to understand how the scale works. The scale of 3:1 indicates that for every 3 units on the scale drawing, there is 1 unit in the actual object.
Now let's evaluate each statement:
A. The scale drawing is three times the size of the actual object.
This statement is true. Since the scale is 3:1, the scale drawing is indeed three times the size of the actual object.
B. The scale drawing is 31 times the size of the actual object.
This statement is false. The scale is 3:1, not 31:1. So the scale drawing is not 31 times the size of the actual object.
C. The scale drawing is one-third the size of the actual object.
This statement is false. The scale drawing is actually three times the size of the actual object, not one-third.
D. If the actual object is 2 cm long, the scale drawing will be 6 cm long.
This statement is true. Since the scale is 3:1, if the actual object is 2 cm long, the scale drawing will be 6 cm long (2 x 3).
E. If the actual object is 6 cm long, the scale drawing will be 6 cm long.
This statement is false. If the actual object is 6 cm long, the scale drawing will not be the same length. It will be 18 cm long (6 x 3).
F. If the actual object is 6 cm long, the scale drawing will be 2 cm long.
This statement is false. If the actual object is 6 cm long, the scale drawing will be 18 cm long (6 x 3), not 2 cm long.
Therefore, the true statements are A and D.