Questions: Find the scale factor for the similar quadrilaterals below.

Find the scale factor for the similar quadrilaterals below.
Transcript text: Find the scale factor for the similar quadrilaterals below.
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Solution

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Solution Steps

Step 1: Identify corresponding sides

Identify the corresponding sides of the similar quadrilaterals. For quadrilateral LMNO and quadrilateral UVWX:

  • LM corresponds to UV
  • LN corresponds to UW
  • NO corresponds to WX
  • MO corresponds to VX
Step 2: Select a pair of corresponding sides

Select a pair of corresponding sides to find the scale factor. For example, let's use sides LM and UV.

Step 3: Calculate the scale factor

Calculate the scale factor by dividing the length of a side in the larger quadrilateral by the length of the corresponding side in the smaller quadrilateral. \[ \text{Scale Factor} = \frac{\text{Length of UV}}{\text{Length of LM}} = \frac{30}{5} = 6 \]

Final Answer

The scale factor for the similar quadrilaterals is 6.

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