Question 1

In the diagram below, a sequence of rigid motions maps $ABCD$ onto $JKLM$ .

If $\mathrm{m}∠A=82°$ , $\mathrm{m}∠B=104°$ , and $\mathrm{m}∠L=121°$ , the measure of $∠M$ is

Accepted Answer

Answer

Answer

Answer

Question 2

Parallelogram $ABCD$ is drawn below with diagonals $JKLM$ and $\overline{\mathrm{AD}}$ intersecting at $S$ .

Which statement is always true?

Accepted Answer

Answer

<math>\angle HDS\cong\angle NDS</math>

Answer

<math>\angle AHS\cong\angle ANS</math>

Answer

Question 3

The graph below shows two congruent triangles, $ABCD$ and $JKLM$ .

Which rigid motion would map $\mathrm{m}∠A=82°$ onto $\mathrm{m}∠B=104°$ ?

Accepted Answer

a reflection over the line $ABCD$

Answer

a translation of three units to the left and three units up

Answer

a rotation of $ABCD$ degrees about the origin

Answer

a rotation of $ABCD$ degrees counterclockwise about the origin

Question 4

A man was parasailing above a lake at an angle of elevation of $ABCD$ from a boat, as modeled in the diagram below.

If $129.5$ meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man?

Accepted Answer

Answer

Answer

Answer

Question 5

A right hexagonal prism is shown below. A two-dimensional cross section that is perpendicular to the base is taken from the prism.

Which figure describes the two-dimensional cross section?

Accepted Answer

rectangle

Answer

hexagon

Answer

pentagon

Answer

triangle

Question 6

In the diagram below, $ABCD$ has endpoints with coordinates $JKLM$ and $\overline{\mathrm{AD}}$ .

If $\mathrm{m}∠B=104°$ is a point on $\mathrm{m}∠L=121°$ and $∠M$ , what are the coordinates of $B$ ?

Accepted Answer

<math>\left(-2,-2\right)</math>

Answer

<math>\left(0,-\frac{14}{3}\right)</math>

Answer

<math>\left(-\frac{1}{2},-4\right)</math>

Answer

<math>\left(1,-6\right)</math>

Question 7

An ice cream waffle cone can be modeled by a right circular cone with a base diameter of $ABCD$ centimeters and a volume of $JKLM$ cubic centimeters. What is the number of centimeters in the height of the waffle cone?

Accepted Answer

Answer

Answer

Answer

Question 8

The vertices of $ABCD$ have coordinates $JKLM$ , $\overline{\mathrm{AD}}$ , and $S$ . Under which transformation of $\Delta PQR$ are distance and angle measure preserved?

Accepted Answer

Answer

Answer

<math>\left(x,y)→(2x,y+3\right)</math>

Answer

Question 9

In $ABCD$ shown below, side $JKLM$ is extended to point $\overline{\mathrm{AD}}$ with $S$ , $\Delta PQR$ , and $\mathrm{m}∠C=(x+20)°$ .

What is $B$ ?

Accepted Answer

Answer

Answer

Answer

Question 10

Circle $ABCD$ is centered at the origin. In the diagram below, a quarter of circle $JKLM$ is graphed.

Which three-dimensional figure is generated when the quarter circle is continuously rotated about the $\mathrm{m}∠A=82°$ -axis?

Accepted Answer

hemisphere

Answer

cylinder

Answer

cone

Answer

sphere

Question 11

Rectangle $ABCD$ is the image of rectangle $JKLM$ after a dilation centered at point $\overline{\mathrm{AD}}$ by a scale factor of $S$ . Which statement is correct?

Accepted Answer

Rectangle $ABCD$ has a perimeter that is $JKLM$ the perimeter of rectangle $\overline{\mathrm{AD}}$ .

Answer

Rectangle $ABCD$ has a perimeter that is $JKLM$ the perimeter of rectangle $\overline{\mathrm{AD}}$ .

Answer

Rectangle $ABCD$ has an area that is $JKLM$ the area of rectangle $\overline{\mathrm{AD}}$ .

Answer

Rectangle $ABCD$ has an area that is $JKLM$ the area of rectangle $\overline{\mathrm{AD}}$ .

Question 12

The equation of a circle is $ABCD$ . What are the coordinates of the center and the length of the radius of the circle?

Accepted Answer

center $ABCD$ and radius $JKLM$

Answer

center $ABCD$ and radius $JKLM$

Answer

center $ABCD$ and radius $JKLM$

Answer

center $ABCD$ and radius $JKLM$

Question 13

In the diagram of $ABCD$ below, $JKLM$ is parallel to $\overline{\mathrm{AD}}$ , $S$ , $\Delta PQR$ , and $\mathrm{m}∠C=(x+20)°$ .

The length of $B$ is

Accepted Answer

Answer

Answer

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Question 14

The line whose equation is $ABCD$ is dilated by a scale factor of $JKLM$ centered at the origin. Which statement is correct?

Accepted Answer

The image of the line has the same slope as the pre-image but a different $ABCD$ -intercept.

Answer

The image of the line has the same $ABCD$ -intercept as the pre-image but a different slope.

Answer

The image of the line has the same slope and the same $ABCD$ -intercept as the pre-image.

Answer

The image of the line has a different slope and a different $ABCD$ -intercept from the pre-image.

Question 15

Which transformation would not carry a square onto itself?

Accepted Answer

a $ABCD$ rotation about one of its vertices

Answer

a $ABCD$ rotation clockwise about its center

Answer

a reflection over the perpendicular bisector of one side

Answer

a reflection over one of its diagonals

Question 16

In circle $ABCD$ below, diameter $JKLM$ , chords $\overline{\mathrm{AD}}$ and $S$ , and radius $\Delta PQR$ are drawn.

Which statement is not true?

Accepted Answer

<math>\mathrm{m}\stackrel{\Large\frown}{AB}=\frac{1}{2}\mathrm{m}\angle ACB</math>

Answer

$53°$ is a right triangle.

Answer

$53°$ is isosceles.

Answer

<math>\mathrm{m}\stackrel{\Large\frown}{BC}=\mathrm{m}\angle BMC</math>

Question 17

In the diagram below, $ABCD$ and $JKLM$ intersect at $\overline{\mathrm{AD}}$ . Segments $S$ and $\Delta PQR$ are drawn perpendicular to $\mathrm{m}∠C=(x+20)°$ to form triangles $XYZ$ and $SRZ$ .

Which statement is always true?

Accepted Answer

Answer

Answer

<math>\Delta XYZ\cong\Delta SRZ</math>

Answer

<math>\overline{\mathrm{XS}}\cong\overline{\mathrm{YR}}</math>

Question 18

As shown in the diagram below, $ABCD$ and $JKLM$ .

If $\mathrm{m}∠A=82°$ , then $\mathrm{m}∠B=104°$ is

Accepted Answer

Answer

Answer

Answer

Question 19

A parallelogram must be a rhombus if its diagonals

Accepted Answer

are perpendicular to each other

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bisect each other

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are congruent

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do not bisect its angles

Question 20

What is an equation of a line which passes through $ABCD$ and is perpendicular to the line whose equation is $JKLM$ ?

Accepted Answer

Answer

Answer

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Question 21

Quadrilateral $ABCD$ is inscribed in circle $JKLM$ , as shown below.

If $\mathrm{m}∠A=82°$ , $\mathrm{m}∠B=104°$ , $\mathrm{m}∠L=121°$ , and $∠M$ , which statement is true?

Accepted Answer

$53°$ and $y=70$

Answer

$53°$ and $y=70$

Answer

$53°$ and $y=70$

Answer

$53°$ and $y=70$

Question 22

A regular pyramid has a square base. The perimeter of the base is $ABCD$ inches and the height of the pyramid is $JKLM$ inches. What is the volume of the pyramid in cubic inches?

Accepted Answer

Answer

Answer

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Question 23

In the diagram below of $ABCD$ , $JKLM$ is a right angle, $\overline{\mathrm{AD}}$ , $S$ , and altitude $\Delta PQR$ is drawn.

What is the length of $∠M$ ?

Accepted Answer

Answer

Answer

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Question 24

In the diagram below, two concentric circles with center $ABCD$ , and radii $JKLM$ , $\overline{\mathrm{AD}}$ , $S$ , and $\Delta PQR$ are drawn.

If $∠M$ and $B$ , which relationship between the length of arc $EF$ and the length of arc $CD$ is always true?

Accepted Answer

The length of arc $ABCD$ is $JKLM$ times the length of arc $\overline{\mathrm{AD}}$ .

Answer

The length of arc $ABCD$ is $JKLM$ times the length of arc $\overline{\mathrm{AD}}$ .

Answer

The length of arc $ABCD$ is $JKLM$ units longer than the length of arc $\overline{\mathrm{AD}}$ .

Answer

The length of arc $ABCD$ is $JKLM$ units longer than the length of arc $\overline{\mathrm{AD}}$ .

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