# Sample quiz on properties of triangles and quadrilaterals Main home here.

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