Coordinate Geometry Quiz

What is the formula to determine the distance between two points (x1, y1) and (x2, y2) in the coordinate plane?

• (x2 - x1)^2 + (y2 - y1)^2

• sqrt((x2 - x1) + (y2 - y1))

• (x2 - x1) + (y2 - y1)

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

Which theorem is used to solve problems involving right triangles in coordinate geometry?

• Pascal's theorem

• Thales' theorem

• Ceva's theorem

• Pythagorean theorem

How do you determine the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

• (x1 * x2, y1 * y2)

• ((x1 - x2)/2, (y1 - y2)/2)

• (x1 + x2, y1 + y2)

• ((x1 + x2)/2, (y1 + y2)/2)

What is the perimeter of a rectangle with vertices at (0,0), (0,3), (4,0), and (4,3)?

• 10

• 16

• 12

• 14

Which of the following is NOT a property of geometric shapes that can be identified using coordinate geometry?

• Midpoint

• Area

• Distance

• Color

Match each concept with the correct formula.

• Area of a parallelogram with base b and height h

• Area of a rectangle with length L and width W

• Area of a trapezoid

• Area of a square

• Area of a triangle

Match the following shape to the correct formula:

• 
• 
• bh

• 
• 
• 

How is AB written in the distance formula?

• 
  $d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$
  

• $d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

• $d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

• $d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

Find the distance.

• 7.1
• 7.8
• 8.7
• 8.9

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16