Question
Triangle HIJ is dilated by a scale factor of 3/4 to form triangle H'I'J'. What is the measure of side IJ?
J'I' - 18
J'H' - 20.1
I'H' - 20.1
J'I' - 18
J'H' - 20.1
I'H' - 20.1
Answers
GPT 3.5
First, we know that the scale factor for the dilation is 3/4. This means that the ratio of the corresponding sides of the two triangles should be 3/4.
Given:
J'I' = 18
J'H' = 20.1
I'H' = 20.1
Since J'I' corresponds to IJ, we can set up the following equation:
IJ / 18 = 3/4
Cross multiplying, we get:
4IJ = 18 * 3
4IJ = 54
IJ = 54 / 4
IJ = 13.5
Therefore, the measure of side IJ is 13.5 units.
Given:
J'I' = 18
J'H' = 20.1
I'H' = 20.1
Since J'I' corresponds to IJ, we can set up the following equation:
IJ / 18 = 3/4
Cross multiplying, we get:
4IJ = 18 * 3
4IJ = 54
IJ = 54 / 4
IJ = 13.5
Therefore, the measure of side IJ is 13.5 units.