Answer:
The ratio of the circumference to its diameter remains the same.
Step-by-step explanation:
Given,
diameter of circle = 6 inch
diameter is doubled.
New diameter of circle = 2 x 6 = 12 inch
We know that,
The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.
Circumference of the circle when the diameter is 6 inches.
C₁ = 6π
Ratio of circumference to diameter
Ratio = 
Ratio = π
When the diameter is 12 inches
C₂ = 12 π
Ratio of circumference to diameter
Ratio = 
Ratio = π
Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.
By the ASA postulate we figure that:
Angles C and D are equal (noted by the line through these angles)
Lines CB and DE are parallel and equal in length (noted by the double line through these sides)
Angle B and E are both 90° (noted by the square at each of these angles)
From this information, we can say that triangle CBA = triangle DEA is true.
Answer:
Table 1
Step-by-step explanation:
Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.
Table 1:
4 32/5
10 16
11 88/5
Let's find the constant of proportionality for each row:
R1: (32/5) / 4 = 8/5
R2: 16/10 = 8/5
R3: (88/5) / 11 = 8/5
Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.
If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.
Hope this helps!