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

In this worksheet, we will practice finding the ordered pair of any point by finding the coordinates of a polygon's vertex in 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.

  • A
  • B
  • C
  • D
  • E

Q3:

Find the coordinate pairs for the vertices of 𝐴 𝐵 𝐶 .

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

Q4:

Which coordinates represent a point located inside both the triangle and the diamond?

  • A
  • B
  • C
  • D
  • E

Q5:

Figures (a) and (b) show the graphs of functions 𝑓 and 𝑔 respectively. Describe the curve parameterized by 𝑥 = 𝑓 ( 𝑡 ) , 𝑦 = 𝑔 ( 𝑡 ) .

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

Q6:

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

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

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