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Question
question a figure containing ∠hij is dilated by a scale factor of 4 to form a new figure which contains ∠hij. ∠hij measures 128°. what is the measure of ∠hij? answer attempt 1 out of 2 m∠hij = ° submit answer
Step1: Recall dilation property
Dilation is a transformation that changes the size of a figure but not the shape. Angles are preserved under dilation.
Step2: Determine angle measure
Since $\angle HIJ$ and $\angle H'I'J'$ are corresponding angles and angles are preserved under dilation, $m\angle HIJ=m\angle H'I'J'$. Given $m\angle H'I'J' = 128^{\circ}$, so $m\angle HIJ=128^{\circ}$.
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$128$