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.
i need help lol-
C is true only if the scale is 1:3
E is true only if the scale is 1:1
Better review the topic and think again.
No problem! Let's break it down step by step.
The scale on a drawing is 3:1. This means that for every 3 units on the drawing, it represents 1 unit in real life.
Now, let's go through each statement:
A. The scale drawing is three times the size of the actual object.
To check if this statement is true, we can compare the ratio. Since the ratio is 3:1, the scale drawing is actually smaller than the actual object, not three times larger. This statement is false.
B. The scale drawing is 31 times the size of the actual object.
This statement is not directly related to the given ratio of 3:1. It is incorrect as it does not represent the correct relationship between the scale drawing and the actual object.
C. The scale drawing is one-third the size of the actual object.
This statement is true. Given the ratio of 3:1, the scale drawing is indeed one-third the size of the actual object. This means that if the actual object is 3 units long, the scale drawing will be 1 unit long.
D. If the actual object is 2 cm long, the scale drawing will be 6 cm long.
To check this statement, we can multiply the length of the actual object (2 cm) by the ratio's first term (3). If we multiply 2 by 3, we get 6. Therefore, this statement is true.
E. If the actual object is 6 cm long, the scale drawing will be 6 cm long.
To check this statement, we can multiply the length of the actual object (6 cm) by the ratio's second term (1). If we multiply 6 by 1, we get 6. Therefore, this statement is true.
F. If the actual object is 6 cm long, the scale drawing will be 2 cm long.
This statement is not consistent with the given ratio. According to the ratio of 3:1, the scale drawing should be smaller than the actual object. Therefore, this statement is false.
In summary, the true statements are:
- 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.