Map Diagram Question Use the map diagram to complete the question. If Adam Ct. is perpendicular to Charles St., and Charles St. is parallel to Edward Rd., what must be true? (1 point) Responses Adam Ct. Edward Rd. Adam Ct. Image with alt text: perpendicular symbol Edward Rd. Adam Ct. || Dana La. Adam Ct. || Dana La. Bertha Dr. || Charles St. Bertha Dr. || Charles St. Dana La. Charles St. Dana La. Image with alt text: perpendicular symbol Charles St.
If Adam Ct. is perpendicular to Charles St., and Charles St. is parallel to Edward Rd., then it must be true that Adam Ct. is perpendicular to Edward Rd.
Based on the given map diagram, if Adam Ct. is perpendicular to Charles St., and Charles St. is parallel to Edward Rd., the following must be true:
1. Adam Ct. must be perpendicular to Edward Rd. as well since it is perpendicular to Charles St.
2. Adam Ct. and Edward Rd. must be parallel to each other since they are both parallel to Charles St.
Based on the given information and map diagram, we can conclude that Adam Ct. must be perpendicular to Edward Rd.
Here's how we arrive at this answer:
1. The statement "Adam Ct. is perpendicular to Charles St." tells us that Adam Ct. and Charles St. intersect at a right angle (perpendicular). We can represent this relationship with the perpendicular symbol.
2. The statement "Charles St. is parallel to Edward Rd." tells us that Charles St. and Edward Rd. never intersect and remain equidistant throughout their length. We can represent this relationship with parallel lines, indicated by the parallel symbol.
3. Since Adam Ct. intersects Charles St. perpendicularly and Charles St. is parallel to Edward Rd., we can deduce that Adam Ct. is perpendicular to Edward Rd.
Therefore, the correct answer is that Adam Ct. must be perpendicular to Edward Rd.