With the origin as the center of dilation, rectangle PQRS will be dilated by a scale factor of 6x24 to form rectangle P’Q’R’S’ .
220x219
What will be the length of 23x10 ?
A
3 units
B
2 units
C
27 units
D
18 units
I chose D, I read and watched a video on how to do this kind of stuff, but I still don't understand it. Like always, I'll be happy if you can help me solve it
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Answer: D. 18 units
To solve this problem, we need to understand how dilations work and how to apply them to find the length of line segments.
In a dilation, every point of the original figure moves along a straight line, from the center of dilation, either towards or away from it. The scale factor determines the factor by which the lengths of the line segments in the original figure are multiplied or divided to obtain the corresponding lengths in the dilated figure.
In this case, the scale factor is 6x24, which means that each length in the original rectangle will be multiplied by 6 along the x-axis and 24 along the y-axis to obtain the corresponding lengths in the dilated rectangle.
To find the length of 23 units on the x-axis in the dilated rectangle, we need to multiply it by the scale factor along the x-axis, which is 6.
23 units * 6 = 138 units.
Therefore, the length of 23 units in the original rectangle will be dilated to a length of 138 units in the dilated rectangle.
Since none of the provided answer choices are 138 units, it seems like there is a mistake in the question or answer choices. Please double-check the given information and options for accuracy.
If you have any further questions, feel free to ask!
To find the length of 23x10 after it is dilated with a scale factor of 6x24, you need to multiply the length of 23x10 by the scale factor.
The scale factor is the ratio of the corresponding sides of the original rectangle and the dilated rectangle. In this case, the ratio is 6:24, which can be simplified to 1:4.
So, if the length of the original rectangle is 23 units, the length of the dilated rectangle will be 23 x 4 = 92 units.
Therefore, the length of 23x10 after being dilated will be 92 units.
So the correct answer is not listed.