Question 1

In the diagram below,

\overline{AEFB} \parallel \overline{CGD}

, and

\overline{GE}

and

\overline{GF}

are drawn. If

m\angle EFG=32 \degree

and

m\angle AEG=137\degree,

what is

m\angle EGF

?

Accepted Answer

$105\degree$

Answer

$75\degree$

Answer

$43\degree$

Answer

$11\degree$

Question 2

If

\overline{AEFB} \parallel \overline{CGD}

is mapped onto

\overline{GE}

after a line reflection and

\overline{GF}

is mapped onto

m\angle EFG=32 \degree

after a translation, the relationship between

m\angle AEG=137\degree,

and

m\angle EGF

is that they are always

Accepted Answer

congruent and similar

Answer

neither similar nor congruent

Answer

similar but not congruent

Answer

congruent but not similar

Question 3

An isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object. The three-dimensional object is a

Accepted Answer

cone with a diameter of 12

Answer

cylinder with a diameter of 6

Answer

cone with a diameter of 6

Answer

cylinder with a diameter of 12

Question 4

In regular hexagon

\overline{AEFB} \parallel \overline{CGD}

shown below,

\overline{GE}

,

\overline{GF}

, and

m\angle EFG=32 \degree

all intersect at

m\angle AEG=137\degree,

. When

m\angle EGF

is reflected over

\overline {BG}

and then rotated

180 \degree

about point

G

,

\bigtriangleup ABG

is mapped onto

Accepted Answer

$\overline{AEFB} \parallel \overline{CGD}$

Answer

$\overline{AEFB} \parallel \overline{CGD}$

Answer

$\overline{AEFB} \parallel \overline{CGD}$

Answer

$\overline{AEFB} \parallel \overline{CGD}$

Question 5

A right cylinder is cut perpendicular to its base. The shape of the cross section is a

Accepted Answer

rectangle

Answer

triangular prism

Answer

circle

Answer

cylinder

Question 6

Yolanda is making a springboard to use for gymnastics. She has

\overline{AEFB} \parallel \overline{CGD}

-inch-tall springs and wants to form a

\overline{GE}

angle with the base, as modeled in the diagram below. To the nearest tenth of an inch, what will be the length of the springboard,

m\angle EFG=32 \degree

?

Accepted Answer

28.2

Answer

8.3

Answer

27.0

Answer

2.3

Question 7

In the diagram below of right triangle $ABC$, altitude $\overline {BD}$ is drawn to hypotenuse $\overline {AC}$.
If $BD=4, AD=x-6$, and $CD=x$, what is the length of $\overline {CD}$?

Accepted Answer

8

Answer

11

Answer

2

Answer

5

Question 8

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 9

In the diagram below of

\overline{AEFB} \parallel \overline{CGD}

and

\overline{GE}

, angles

\overline{GF}

and

m\angle EFG=32 \degree

are right angles, and

m\angle AEG=137\degree,

. If

m\angle EGF

and

\overline {BG}

, what is the measure of angle

180 \degree

, to the

G

?

Accepted Answer

$23\degree$

Answer

$65\degree$

Answer

$25\degree$

Answer

$67\degree$

Question 10

In the diagram below,

\overline{AEFB} \parallel \overline{CGD}

,

\overline{GE}

,

\overline{GF}

, and

m\angle EFG=32 \degree

, are drawn such that

m\angle AEG=137\degree,

. Which additional statement is sufficient to prove

m\angle EGF

by

\overline {BG}

Accepted Answer

$\overline {AN} \parallel \overline {SC}$

Answer

$\overline{AS}$ and $\overline{NC}$ bisect each other.

Answer

$K$ is the midpoint of  $\overline {NC}$.

Answer

$\overline {AS} \bot \overline {CN}$

Question 11

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 12

In the diagram of

\overline{AEFB} \parallel \overline{CGD}

below, points

\overline{GE}

and

\overline{GF}

are on sides

m\angle EFG=32 \degree

and

m\angle AEG=137\degree,

respectively, such that

m\angle EGF

. If

\overline {BG}

is

180 \degree

more than

G

, and

\bigtriangleup ABG

, what is the length of

\overline {AD}?

Accepted Answer

8

Answer

9

Answer

6

Answer

12

Question 13

Quadrilateral $MATH$ has both pairs of opposite sides congruent and parallel. Which statement about quadrilateral $MATH$ is always true?

Accepted Answer

$\angle{MAT} \cong\angle{MHT}$

Answer

$\overline{MT} \bot\overline{AH}$

Answer

$\overline{MT} \cong \overline{AH}$

Answer

$\angle{MHT} \cong\angle{ATH}$

Question 14

In the figure shown below, quadrilateral $TAEO$ is circumscribed around circle $D$. The midpoint of $\overline{TA}$ is $R$, and $\overline {HO} \cong \overline {PE}$.

If $AP=10$ and $EO=12$, what is the perimeter of quadrilateral $TAEO?$

Accepted Answer

64

Answer

76

Answer

56

Answer

72

Question 15

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 16

In triangle

\overline{AEFB} \parallel \overline{CGD}

, points

\overline{GE}

and

\overline{GF}

are on sides

m\angle EFG=32 \degree

and

m\angle AEG=137\degree,

, respectively, such that

m\angle EGF

, and

\overline {BG}

. If

180 \degree

and

G

, what is the length of

\bigtriangleup ABG

, to the

\overline {AD}?

Accepted Answer

5.9

Answer

5.6

Answer

15.7

Answer

3.8

Question 17

In the diagram below, rectangle

\overline{AEFB} \parallel \overline{CGD}

has vertices whose coordinates are

\overline{GE}

and

\overline{GF}

Which transformation will not carry the rectangle onto itself?

Accepted Answer

a rotation of $180 \degree$ about the point $(6, 6)$

Answer

a rotation of $180 \degree$ about the point $(5, 5)$

Answer

a reflection over the line $y= x$

Answer

a reflection over the line $y=- x+10$

Question 18

A circle with a diameter of

\overline{AEFB} \parallel \overline{CGD}

cm and a central angle of

\overline{GE}

is drawn below. What is the area, to the nearest tenth of a square centimeter, of the sector formed by the

m\angle EFG=32 \degree

angle?

Accepted Answer

6.5

Answer

5.2

Answer

13.1

Answer

26.2

Question 19

A child's tent can be modeled as a pyramid with a square base whose sides measure

\overline{AEFB} \parallel \overline{CGD}

inches and whose height measures

\overline{GE}

inches. What is the volume of the tent, to the nearest cubic foot?

Accepted Answer

58

Answer

82

Answer

35

Answer

175

Question 20

In the accompanying diagram of right triangle $ABC$, altitude $\overline {BD}$ is drawn to hypotenuse $\overline{AC}$.

Which statement must always be true?

Accepted Answer

$\frac{AD}{AB}=\frac{AB}{AC}$

Answer

$\frac{AD}{AB}=\frac{BC}{AC}$

Answer

$\frac{AB}{BC}=\frac{BD}{AC}$

Answer

$\frac{BD}{BC}=\frac{AB}{AD}$

Question 21

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 22

In

\overline{AEFB} \parallel \overline{CGD}

is the perpendicular bisector of

\overline{GE}

. Based upon this information, which statements below can be proven? I.

\overline{GF}

is a median. II.

m\angle EFG=32 \degree

bisects

m\angle AEG=137\degree,

. III.

m\angle EGF

is isosceles.

Accepted Answer

I, II, and III

Answer

I and II, only

Answer

II and III, only

Answer

I and III, only

Question 23

Triangle $RJM$ has an area of 6 and a perimeter of 12. If the triangle is dilated by a scale factor of 3 centered at the origin, what are the area and perimeter of its image, triangle $R'J'M'?$

Accepted Answer

area of 54 and perimeter of 36

Answer

area of 18 and perimeter of 36

Answer

area of 9 and perimeter of 15

Answer

area of 54 and perimeter of 108

Question 24

If $sin(2x+7)^\degree=cos(4x-7)^\degree$, what is the value of $x$?

Accepted Answer

15

Answer

7

Answer

30

Answer

21

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