Question
Triangle HIJ is dilated by a scale factor of 3 to form triangle H’I’J’. What is the measure of side
I’J’?
I’J’?
Ask by Beck Reid. in the United States
Jan 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To find the length of side
, multiply the original length of side
by 3. So,
.
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Beyond the Answer
In dilation, each side of the original triangle is multiplied by the scale factor. If side IJ of triangle HIJ has a certain length, you can find the length of side I’J’ in triangle H’I’J’ by simply multiplying the original length by the scale factor of 3. For example, if IJ measures 4 units, then I’J’ would measure 4 x 3 = 12 units. Just remember to apply the scale factor to the lengths of each side you wish to find!
To find additional engaging context, consider how dilation transforms shapes while preserving their proportions, allowing artists to create larger or smaller versions of their work without distorting the original design. This concept is not only important in geometry but also in fields like architecture and design!