Coordinate Geometry Shape Classification

What are the coordinates of point Q?

• (a,b)

• (a/2, b/2)

• (a,2b)

• (-a,-b)

What is the length of QR?

• 2b

• 2a

• a+b

• 4a

Given ABCD is a parallelogram, what are the coordinates of point C?

• (3c,b)

• (a+c,b)

• (2a-c,b)

• (a+2c,b)

ABCD is a parallelogram, so the diagonals bisect each other. What is the midpoint of the diagonals?

• (a+c,b)

• (c/2,b/2)

• ((a+c)/2,b/2)

• (a/2,b/2)

The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a

• Square

• Rectangle

• Rhombus

• Trapezium

AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is 

•  5 

•  3 

•  √(34)

•  4

If I want to show two lines are parallel what formula do I use?

• Slope

• Distance

• Midpoint

• Pythagorean Theorm

If I am proving that a figure is a rectangle by definition (four right angles), how many times should I use the slope formula?

• 1

• 2

• 3

• 4

What are the coordinates of point R?

• (3a,2b)

• (2a, 3b)

• (3a,b)

• (2a,-b)

What conclusion would you make if the you calculated the slopes to be this?

• Opposite sides parallel

• Consecutive sides or Diagonals are perpendicular

• Opposite sides are congruent

• none of these