Distances — Quiz 3

Questions in this quiz (5)

1. Rhina decided to print her research project in a computer shop. She prepares a grid representing the location of the four computer shops in their town as shown below. If Rhina's house is located at the origin, what is the nearest computer shop to her house?

   • Yack
   • Xyle
   • Wenz
   • Zun

2. Santos family is traveling to Baguio City to visit friends. After a few hours, the driver checks the GPS, which shows their location on the coordinate grid as the point (18,75), while their friend's house is located at the point (50,40). What is the shortest distance between their current location and the house if each unit on the grid represents 1 kilometer?

   • 52.13
   • 47.43
   • 39.15
   • 40.20

3. The coordinates of the endpoints of segment AB are A(-3,4) and B(9,y), respectively. Suppose the distance between A and B is 13 units. What values of y would satisfy this condition?

   • $$y=-9$$ or $$y=1$$
   • $$y=9$$ or $$y=1$$
   • $$y=-9$$ or $$y=-1$$
   • $$y=9$$ or $$y=-1$$

4. A playground is planned to be built halfway between the school and the library. On a coordinate grid map, the school is located at (-6,4) and the library is at (8,-2). What are the coordinates of the location where the playground should be built?

   • $$(1,1)$$
   • $$(1.5,2)$$
   • $$(-1.5,-2)$$
   • $$(-2,2)$$

5. What is the value of x in the points (x,6) and (10,-2), if the coordinate of the midpoint is (4,2)?

   • $$-1$$
   • $$-2$$
   • $$1$$
   • $$0$$