Sample quiz on properties of triangles and quadrilaterals
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1. In $\triangle ABC$, the slope of the line that joins the midpoints of sides $AB$ and $AC$ is $\cdots$
   
   equal to one
   equal to zero
   equal to the slope of side $BC$
   equal to the slope of side $AB$
   
2. In $\triangle ABC$, the length of the line that joins the midpoints of sides $AB$ and $AC$ is $\cdots$
   
   half the length of side $BC$
   one-third of the length of side $BC$
   twice the length of side $BC$
   a quarter of the length of side $BC$
3. Let $\triangle ABC$ be such that $\angle A=90^{\circ}$. Then its orthocenter is located at $\cdots$?
   
   $(0,0)$
   $C$
   $B$
   $A$
4. Let $\triangle ABC$ be such that $\angle A=90^{\circ}$. Then its circumcenter is located at $\cdots$?
   
   $A$
   midpoint of side $CA$
   midpoint of side $AB$
   midpoint of side $BC$
5. In which of the following quadrilaterals do the diagonals not intersect at $90^{\circ}$?
   
   rectangle
   trapezoid
   rhombus
   square
6. A major difference between a square and a rhombus is that $\cdots$?
   
   a square has all angles $90^{\circ}$ while a rhombus doesn't
   a rhombus has all angles $90^{\circ}$ while a square doesn't
   a square has all sides equal while a rhombus doesn't
   a rhombus has all sides equal while a square doesn't
7. A major difference between a rectangle and a square is that $\cdots$?
   
   a square has all angles $90^{\circ}$, unlike a rectangle
   a rectangle has all angles $90^{\circ}$, unlike a square
   a square all sides equal, unlike a rectangle
   a rectangle has all sides equal, unlike a square
8. In which of the following quadrilaterals do the diagonals bisect each other?
   
   square
   rhombus
   rectangle
   all of the above
9. A major difference between a kite and a trapezoid is that $\cdots$?
   
   a trapezoid has one pair of parallel sides, unlike a kite
   a kite has one pair of parallel sides, unlike a trapezoid
   a kite has all angles $90^{\circ}$, unlike a trapezoid
   a trapezoid has all angles $90^{\circ}$, unlike a kite
10. Which of the following is an example of a parallelogram?
    
    square
    rhombus
    rectangle
    all of the above