sat-dog

What is the area, in square units, of the triangle formed by connecting the three points shown?

Circle $A$ has a radius of $3n$ and circle $B$ has a radius of $129n$, where $n$ is a positive constant. The area of circle $B$ is how many times the area of circle $A$?

In a right triangle, the tangent of one of the two acute angles is . What is the tangent of the other acute angle?

In the right triangle shown above, what is the length of  ?

Each side of a square has a length of $45$. What is the perimeter of this square?

In the figure, parallel lines $q$ and $t$ are intersected by lines $r$ and $s$. If $a=43$ and $b=122$, what is the value of $w$?

What is the area of a rectangle with a length of $4 \text{centimeters} \left(\text{cm}\right)$ and a width of $2 \text{cm}$?

A rectangle has a length of $64$ inches and a width of $32$ inches. What is the area, in square inches, of the rectangle?

The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches. What is the surface area, in square inches, of the prism?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angle $C$ corresponds to angle $F$.  Angles $C$ and $F$ are right angles. If $\tan \left(A\right)=\frac{50}{7}$, what is the value of  $\tan \left(E\right)$?

In the figure above, lines m and n are parallel. What is the value of b ?

In the figure above, is parallel to . What is the length of ?

A circle in the xy-plane has equation . Which of the following points does NOT lie in the interior of the circle?

Right triangles $LMN$ and $PQR$ are similar, where $L$ and $M$ correspond to $P$ and $Q$, respectively. Angle $M$ has a measure of $53°$. What is the measure of angle $Q$?

In triangle $JKL$, $\cos \left(K\right)=\frac{24}{51}$ and angle $J$ is a right angle. What is the value of $\cos \left(L\right)$?

In a right triangle, the measure of one of the acute angles is $51°$. What is the measure, in degrees, of the other acute angle?

The figure shows the lengths, in centimeters (cm), of the edges of a right rectangular prism. The volume V of a right rectangular prism is , where is the length of the prism, w is the width of the prism, and h is the height of the prism. What is the volume, in cubic centimeters, of the prism?

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of , and the height of the can is 10 cm. If of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?

In the figure above, two sides of a triangle are extended. What is the value of x ?

A right triangle has sides of length $2\sqrt{2}$, $6\sqrt{2}$, and $\sqrt{80}$ units. What is the area of the triangle, in square units?

In the figure above, and . What is the length of ?

The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. What is the value of k, in centimeters?

What is the perimeter, in inches, of a rectangle with a length of $4$ inches and a width of $9$ inches?

A circle in the xy-plane has its center at $\left(-4,5\right)$ and the point $\left(-8,8\right)$ lies on the circle. Which equation represents this circle?

Triangles $\text{A}\text{B}\text{C}$ and $\text{D}\text{E}\text{F}$ are similar. Each side length of triangle $\text{A}\text{B}\text{C}$ is $4$ times the corresponding side length of triangle $\text{D}\text{E}\text{F}$. The area of triangle $\text{A}\text{B}\text{C}$ is $270$ square inches. What is the area, in square inches, of triangle $\text{D}\text{E}\text{F}$?