Distances — Quiz 2

Questions in this quiz (6)

1. The point (5,4) could be the midpoint of which of the following lines?

   • line with endpoints at (2,3) and (8,5)
   • A line with endpoints at (6,5) and (4,4)
   • A line with endpoints at (3,2) and (7,7)
   • A line with endpoints at (1,1) and (9,9)

2. A graphic designer updated a company's webpage layout on a square coordinate grid marked in centimeter units. The logo was initially positioned at $$(3,-4)$$, located 3 centimeters to the right and 4 centimeters down from the center of the webpage. The designer shifted the logo 5 centimeters to the left and 2 centimeters up. What is the straight-line distance, in centimeters, between the new position of the logo and the center of the webpage?

   • $$2\sqrt{2}$$
   • $$2\sqrt{5}$$
   • $$\sqrt{41}$$
   • $$\sqrt{50}$$

3. Sarah designed a blueprint for a park using a square coordinate grid, where each unit represents one meter. The fountain was originally placed at $$(6,-3)$$, meaning it was 6 meters to the right and 3 meters down from the center of the park. Sarah then relocated the fountain by moving it 8 meters to the left and 4 meters up. What is the straight-line distance, in meters, between the new location of the fountain and the center of the park?

   • $$\sqrt{5}$$
   • $$\sqrt{6}$$
   • $$6$$
   • $$3\sqrt{6}$$

4. Use the given endpoint R and midpoint M of segment RS to find the coordinates of the other endpoint S.$$R(6,0),\ M(0,2)$$

   • $$(6,2)$$
   • $$(3,-1)$$
   • $$(3,1)$$
   • $$(-6,4)$$

5. Which two towns are closest together?

   • Dunkirk and Allentown
   • Lake City and Allentown
   • Dunkirk and Clearfield
   • Allentown and Cleafield

6. Which of the following are the coordinates of B, if the distance between B and D is 17 units and the coordinates of D are (-8,5)?

   • (8,-2)
   • (10,-2)
   • (10,-2)
   • (7,-3)