The length of DE is 10 units
Find the length of DE using the distance formula.
just did it.
Is there a picture included?
First, find the distance AB by the formula:
If A(0,-7) and B(8,8), then
Dilating polygon ABCD by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′, you increase the distance AB twice, A'B'=2AB. Thus, A'B'=2·17=34 units.
AB=17 units, A'B'=34 units.
d = √1156 units
We have given end-points of AB.
(0,-7) and (8,8)
We have to find length of A⁰B⁰.
Scale factor is 2.
Hence, end-points of A⁰B⁰ are
2(0,-7) and 2(8,8)
(0,-14) and (16,16)
Hence, we can find length of A⁰B⁰ by using distance formula.
d = √(x₂-x₁)²+(y₂-y₁)²
Putting values ,we have
d = √(16-0)²+(16-(-14))²
d = √(16)²+(16+14)²
d = √256+900
d = √1156 units which is the answer.
Given: We can find the length of FG using the Distance Formula:
[Distance formula to find length of line from point to point is given by :-
Hence, the formula also represents the length of FG is .
The scale of factor is 2. Then, you must multiply the coordinates of the endpoints AB by 2 to obtain the coordinates od the enpoints A'B':
Substitute values into the formula, then you obtain that the length A'B' is: