Using the side lengths of rectangle ABCD and rectangle EFGH, find the scale factor needed to transform from one shape to the other.
Xmin:
-10
Xmax:
10
Ymin:
-10
Ymax:
10
A(-10,6)
B(-10,-2)
C(-6,-2)
D(-6,6)
E(-5,3)
F(-5,-1)
G(-3,-1)
H(-3,3)
The scale factor needed to convert from ABCD to EFGH is:
The scale factor needed to convert from EFGH to ABCD is:
To find the scale factor needed to convert from ABCD to EFGH, we can compare the lengths of corresponding sides.
The length of side AB in ABCD is √((-10 - (-10))^2 + (-2 - 6)^2) = √(0^2 + 8^2) = 8.
The length of side EF in EFGH is √((-5 - (-5))^2 + (-1 - 3)^2) = √(0^2 + (-4)^2) = 4.
So, to convert from ABCD to EFGH, we need to scale down by a factor of 8/4 = 2.
Therefore, the scale factor needed to convert from ABCD to EFGH is 2.
To find the scale factor needed to convert from EFGH to ABCD, we can compare the lengths of corresponding sides in reverse.
The length of side EF in EFGH is √(0^2 + (-4)^2) = 4.
The length of side AB in ABCD is √(0^2 + 8^2) = 8.
So, to convert from EFGH to ABCD, we need to scale up by a factor of 8/4 = 2.
Therefore, the scale factor needed to convert from EFGH to ABCD is 2.
The scale factor needed to convert from ABCD to EFGH is:
2
The scale factor needed to convert from EFGH to ABCD is:
2
The scale factor needed to convert from ABCD to EFGH is=
1/2
The hypotenuse of a triangle was 7 cm and after a dilation the final hypotenuse is 1.05 cm. What is the scale factor?
To find the scale factor, we can divide the length of the final hypotenuse by the length of the original hypotenuse:
Scale factor = final hypotenuse length / original hypotenuse length
Scale factor = 1.05 cm / 7 cm
Scale factor = 0.15
Therefore, the scale factor is 0.15.