Question 1

Rhombus $STAR$ has vertices $S(-1,2), T(2,3), A(3,0)$, and $R(0,-1)$.
What is the perimeter of rhombus $STAR$?

Accepted Answer

$4\sqrt{10}$

Answer

$4\sqrt{34}$

Answer

$\sqrt{10}$

Answer

$\sqrt{34}$

Question 2

Which equation represents a line that is perpendicular to the line represented by $y=\frac{2}{3}x+1?$

Accepted Answer

$3x+2y=12$

Answer

$y=-\frac{2}{3}x+4$

Answer

$y=\frac{3}{2}x+2$

Answer

$3x-2y=12$

Question 3

The coordinates of the endpoints of directed line segment $ABC$ are $A(-8,7)$ and $C(7,-13)$. If $AB:BC=3:2$,  the coordinates of $B$ are

Accepted Answer

(1,-5)

Answer

(-2,-1)

Answer

(3,-6)

Answer

(-3,0)

Question 4

An equation of circle $O$ is $x^2+y^2+4x-8y=-16$. The statement that best describes circle $O$ is the

Accepted Answer

center is $(-2,4)$ and is tangent to the $y-axis$

Answer

center is $(2,-4)$ and is tangent to the $x-axis$

Answer

center is $(-2,4)$ and is tangent to the $x-axis$

Answer

center is $(2,-4)$ and is tangent to the $y-axis$

Question 5

Point $M$ divides $\overline{AB}$ so that $AM:MB=1:2$. If $A$  has coordinates $(-1,-3)$ and $B$ has coordinates $(8,9)$, the coordinates of $M$ are

Accepted Answer

$(2,1)$

Answer

$(\frac{23}{3},8)$

Answer

$(5,5)$

Answer

$(\frac{5}{3},0)$

Question 6

What is an equation of a circle whose center is (1,4) and diameter is 10?

Accepted Answer

$x^2-2x+y^2-8y=8$

Answer

$x^2-2x+y^2-8y=83$

Answer

$x^2+2x+y^2+8y=8$

Answer

$x^2+2x+y^2+8y=83$

Question 7

On the set of axes below, $\Delta ABC$, altitude $\overline {CG}$, and median $\overline {CM}$ are drawn.

Which expression represents the area of  $\Delta ABC$?

Accepted Answer

$\frac {(GC)(AB)}{2}$

Answer

$\frac {(GC)(BC)}{2}$

Answer

$\frac {(BC)(AC)}{2}$

Answer

$\frac {(CM)(AB)}{2}$

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