Converse Activity

For each statement below, drag a statement choice that is a converse of the given conditional statement to the blank space. The resulting converse statement may or may not be mathematically correct.

Conditional Statement 1:

Conditional Statement 2:

Conditional Statement 3:


If you are in Houston, then you are in Texas.

The converse of Statement 1 is _________________________________________
    A
  • If you are not in Houston, then you are not in Texas.
    • B
  • If you are in Texas, then you are in Houston.
    • C
  • If you are not in Texas, then you are not in Houston.
  •  

If a triangle is a right triangle, then the square of the longest side of the triangle is equal to the sum of the squares of the other two sides.

The converse of Statement 2 is
_________________________________________________________
_________________________________________________________
    A
  • If a triangle is not a right triangle, then the square of the longest side of the triangle is not equal to the sum of the squares of the other two sides.
    • B
  • A triangle is a right triangle if an only if the square of the longest side of the triangle is equal to the sum of the squares of the other two sides.
    • C
  • If the square of the longest side of the triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
  •  

If a figure is a rectangle then it has four right angles.

The converse of Statement 3 is _____________________________________________________
    A
  • If a figure has four right angles, then it is a rectangle.
    • B
  • If a figure does not have four right angles, then it is not a rectangle.
    • C
  • If a figure is not a rectangle, then it does not have four right angles.
  •