1. The first problem asks to find the distance using the formula $4^2 + 3^2$. 2. Calculate each square: $4^2 = 16$ and $3^2 = 9$. 3. Add the results: $16 + 9 = 25$. 4. The distance is the square root of 25, so $\sqrt{25} = 5$. 5. The second problem involves a map scale where 1 cm represents 5 km. 6. Given the actual distance between Nakuru and Kisii is 120 km, find the distance on the map by dividing the actual distance by the scale: $\frac{120}{5} = 24$ cm. 7. The distance on the map is 24 cm. 8. The third problem asks to draw the image of a trapezoid reflected across a vertical mirror line. 9. Reflection across a vertical line means each point of the trapezoid is mirrored horizontally at the same distance from the mirror line but on the opposite side. 10. The reflected trapezoid will have the same shape and size but flipped horizontally to the right side of the mirror line. Final answers: - Distance from $4^2 + 3^2$ is 5. - Distance on the map is 24 cm. - The reflected trapezoid is the mirror image on the right side of the vertical mirror line.