QUIZ 3 A. Refer to trapezoid EFGH 1. If \( \mathrm{IJ}=x, \mathrm{HG}=8 \) and what is the value of \( x \) 2. If \( \mathrm{IJ}=y+3, \mathrm{HG}=1 \) what is the value of, 3. If \( \mathrm{HG}=x, \mathrm{IJ}=16 \) an what is value of \( x \) ? 4. If \( \mathrm{HG}=y-2, \mathrm{IJ}=2 \) 5. If \( \mathrm{HI}=10 \) and \( \mathrm{IE}= \)

To solve the problems related to trapezoid EFGH, we need to extract the known conditions from each part of the quiz. Let's go through each question step by step. ### A. Refer to trapezoid EFGH 1. **If \( \mathrm{IJ}=x, \mathrm{HG}=8 \)** We need to find the value of \( x \). However, there is no additional information provided to relate \( \mathrm{IJ} \) and \( \mathrm{HG} \). Therefore, we cannot determine \( x \) without more context. 2. **If \( \mathrm{IJ}=y+3, \mathrm{HG}=1 \)** Here, we have \( \mathrm{IJ} = y + 3 \) and \( \mathrm{HG} = 1 \). Again, without additional information or a relationship between \( \mathrm{IJ} \) and \( \mathrm{HG} \), we cannot solve for \( y \) or \( \mathrm{IJ} \). 3. **If \( \mathrm{HG}=x, \mathrm{IJ}=16 \)** We have \( \mathrm{HG} = x \) and \( \mathrm{IJ} = 16 \). Since \( \mathrm{HG} \) is given as \( x \), we can directly state that: \[ x = 16 \] 4. **If \( \mathrm{HG}=y-2, \mathrm{IJ}=2 \)** Here, we have \( \mathrm{HG} = y - 2 \) and \( \mathrm{IJ} = 2 \). We can set up the equation: \[ y - 2 = \mathrm{HG} \] Since we don't have a value for \( \mathrm{HG} \), we cannot solve for \( y \) without additional information. 5. **If \( \mathrm{HI}=10 \) and \( \mathrm{IE}=\)** This statement is incomplete as it does not provide a value or relationship for \( \mathrm{IE} \). Therefore, we cannot determine anything further without more information. ### Summary of Findings - For question 1, we cannot determine \( x \). - For question 2, we cannot determine \( y \) or \( \mathrm{IJ} \). - For question 3, we found \( x = 16 \). - For question 4, we cannot determine \( y \). - For question 5, we need more information to determine \( \mathrm{IE} \). If you have additional information or relationships between these segments, please provide them, and I can assist further!