Question

preimage image g scale factor = 4 9 × 4 = 36 36 144 i 9 h i 36 h before you continue, we recommend completing the day 2 activity, \what goes together?\ did christy calculate the scale factor correctly? why or why not? no, because she tried to apply a scale factor of 4 but made a mistake in her calculations. yes, the image was correctly scaled up by a scale factor of 4 because she used corresponding parts. no, because she did not use corresponding parts. she matched up side gi in the preimage to side gh in the image. no, the image was scaled up by a factor of 5

Explanation:

To calculate the scale factor, we need to use corresponding parts. In the pre - image, the base \(IH = 9\) and in the image, the base \(IH=36\). The scale factor \(k=\frac{\text{image length}}{\text{pre - image length}}\). If we use the base, \(k = \frac{36}{9}=4\). But Christy used \(GI = 36\) (a non - base side of the pre - image) and tried to relate it to \(GH\) (a non - base side of the image). Corresponding parts should be of the same type (e.g., both bases or both non - base sides). She did not use corresponding parts correctly.

Answer:

No, because she did not use corresponding parts. She matched up side \(GI\) in the preimage to side \(GH\) in the image.