Pentagon FGHJK is similar to pentagon MPQST.
What is the value of x?
Question 9 options:
13.5
12
9.5
Not here
Without any additional information about the pentagons FGHJK and MPQST, it is not possible to determine the value of x.
Pentagon FGHJK is shown on the coordinate grid. Pentagon FGHJK is dilated with the origin as
the center of the dilation using the rule (x, y) → ( 1 x, 1 y) to create pentagon F'G'H'J'K'.
3 3
Which statement is true?
Responses
A Pentagon F'G'H'J'K' is smaller than pentagon FGHJK because the scale factor is greater than one.Pentagon F'G'H'J'K' is smaller than pentagon FGHJK because the scale factor is greater than one.
B Pentagon F'G'H'J'K' is smaller than pentagon FGHJK because the scale factor is less than one. Pentagon F'G'H'J'K' is smaller than pentagon FGHJK because the scale factor is less than one.
C Pentagon FGHJK is smaller than pentagon F'G'H'J'K' because the scale factor is less than one. Pentagon FGHJK is smaller than pentagon F'G'H'J'K' because the scale factor is less than one.
D Pentagon F'G'H'J'K' is larger than pentagon FGHJK because the scale factor is less than one. Pentagon F'G'H'J'K' is larger than pentagon FGHJK because the scale factor is less than one.
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To determine if pentagon F'G'H'J'K' is smaller or larger than pentagon FGHJK after a dilation with a scale factor of 3, we need to compare the lengths of corresponding sides.
Let's choose one side of pentagon FGHJK, such as side FG, and compare it to the corresponding side of pentagon F'G'H'J'K', which would be F'G'.
The length of FG can be calculated using the distance formula:
FG = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Assuming the coordinates of F are (x1, y1) and the coordinates of G are (x2, y2), we need the specific coordinate values to calculate the length of FG.
Similarly, the length of F'G' can be calculated using the distance formula with the dilated coordinates.
Without the specific coordinates, it is not possible to determine whether pentagon F'G'H'J'K' is smaller or larger than pentagon FGHJK after the dilation.