Coordinate Geometry Quiz

Coordinate Planes

• The y-coordinate of any point on the x-axis is 0.

Coordinate Systems

• The coordinates of the origin are (0, 0).

Graphing

• The x-coordinate of points on the y-axis is 0.

Linear Graphs

• The y-coordinate of any point on the line through (0, 1), parallel to the x-axis, is 1.

Linear Graphs

• The x-coordinate of any point on the line through (1, 0), parallel to the y-axis, is 1.

Distance Formula

• The length of AB in the triangle with vertices A(2, 1), B(10, 5) can be calculated using the distance formula: √((10-2)^2 + (5-1)^2) = √(8^2 + 4^2) = √(64 + 16) = √80.

Geometry

• To prove triangle ABC with vertices A(2, 1), B(10, 5), and C(4, 7) is an isosceles right triangle:
  • Calculate the lengths of the sides using the distance formula.
  • Show that two sides have equal lengths.
  • Verify that one of the angles is 90°.