Answer:
The scale factor used to go from P to Q is 1/4
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x -----> area of polygon Q
y -----> area of polygon P
we have
Find the area of polygon Q
Divide the the area of polygon Q in two triangles and three squares
The area of the polygon Q is equal to the area of two triangles plus the area of three squares
see the attached figure N 2
Find the area of triangle 1
Find the area of three squares (A2,A3 and A4)
Find the area of triangle 5
The area of polygon Q is
Find the scale factor
we have
substitute and solve for z
square root both sides
therefore
The scale factor used to go from P to Q is 1/4
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3,897.003 in expanded form is:
3,000 + 800 + 90 + 7 + 0.003
The <em>rigid</em> transformations used for each figure:
- Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
- Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)
<h3>What transformation rules do create the resulting images?</h3>
In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:
Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.
(x, y) → (- x, - y)
Figure 6 - Translation one unit in the +x direction and two units in the -y direction.
(x, y) → (x + 1, y - 2)
To learn more on transformation rules: brainly.com/question/9201867
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When a point P(a, b) is reflected about the y-axis, the coordinates of the reflected point are P'(-a, b).
Thus, the reflection of point (3, 7) is (-3, 7), as shown in the picture.
Answer: (-3, 7)
