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Worksheet: Coordinates of Figures' Vertices on the xy-Plane

Q1:

What are the coordinates of the missing point which would complete the square.

  • A ( 2 , 3 )
  • B ( 3 , 6 )
  • C ( 2 , 7 )
  • D ( 6 , 3 )
  • E ( 7 , 7 )

Q2:

Find the coordinates of the point that would complete the rectangle. Give your answer as an ordered pair.

  • A ( 2 , 3 )
  • B ( 6 , 2 )
  • C ( 7 , 3 )
  • D ( 2 , 6 )
  • E ( 7 , 6 )

Q3:

Figures (a) and (b) show the graphs of functions 𝑓 and 𝑔 respectively. Describe the curve parameterized by π‘₯ = 𝑓 ( 𝑑 ) , 𝑦 = 𝑔 ( 𝑑 ) .

  • A the square on vertices 𝐴 ( 1 , 1 ) , 𝐡 ( 3 , 3 ) , 𝐢 ( 5 , 3 ) , and 𝐷 ( 7 , 1 ) traced as 𝐴 𝐡 𝐢 𝐷 𝐴
  • B the square on vertices 𝐴 ( 1 , 1 ) , 𝐡 ( 3 , 1 ) , 𝐢 ( 3 , 3 ) , and 𝐷 ( 1 , 3 ) traced as 𝐴 𝐡 𝐢 𝐷 𝐴
  • C the square on vertices 𝐴 ( 1 , 1 ) , 𝐡 ( 3 , 3 ) , 𝐢 ( 3 , 5 ) , and 𝐷 ( 1 , 7 ) traced as 𝐴 𝐡 𝐢 𝐷 𝐴
  • D the square on vertices 𝐴 ( 1 , 1 ) , 𝐡 ( 1 , 3 ) , 𝐢 ( 3 , 3 ) , and 𝐷 ( 3 , 1 ) traced as 𝐴 𝐡 𝐢 𝐷 𝐴
  • E the square on vertices 𝐴 ( 1 , 1 ) , 𝐡 ( 1 , 3 ) , 𝐢 ( 3 , 5 ) , and 𝐷 ( 5 , 1 ) traced as 𝐴 𝐡 𝐢 𝐷 𝐴

Q4:

Find the coordinate pairs for the vertices of β–³ 𝐴 𝐡 𝐢 .

  • A 𝐴 = ( 4 , 6 ) , 𝐡 = ( 7 , 2 ) , 𝐢 = ( 3 , 2 )
  • B 𝐴 = ( 6 , 4 ) , 𝐡 = ( 2 , 7 ) , 𝐢 = ( 3 , 2 )
  • C 𝐴 = ( 6 , 4 ) , 𝐡 = ( 2 , 7 ) , 𝐢 = ( 2 , 3 )
  • D 𝐴 = ( 4 , 6 ) , 𝐡 = ( 7 , 2 ) , 𝐢 = ( 2 , 3 )
  • E 𝐴 = ( 4 , 6 ) , 𝐡 = ( 2 , 7 ) , 𝐢 = ( 3 , 2 )

Q5:

Name the polygon that can be graphed in the coordinate plane with vertices at (0,5), ( 0 , βˆ’ 2 ) , and ( 6 , βˆ’ 2 ) .

  • A square
  • B rhombus
  • C equilateral triangle
  • D right triangle

Q6:

Which ordered pair represents a point located inside both the triangle and the diamond?

  • A ( 6 , 5 )
  • B ( 4 , 2 )
  • C ( 5 , 6 )
  • D ( 3 , 4 )
  • E ( 2 , 2 )