Question 1

In the diagram below, lines $ℓ$ , $m$ , $n$ , and $p$ intersect line $r$ .

Which statement is true?

Accepted Answer

Answer

Answer

Answer

Question 2

Which transformation would not always produce an image that would be congruent to the original figure?

Accepted Answer

dilation

Answer

rotation

Answer

reflection

Answer

translation

Question 3

If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?

Accepted Answer

cone

Answer

pyramid

Answer

prism

Answer

sphere

Question 4

In the diagram below, $ℓ$ , $m$ , and $n$ .

Which statement is true?

Accepted Answer

$ℓ||p$ is isosceles.

Answer

$ℓ||p$ is obtuse.

Answer

Answer

$ℓ||p$ is scalene.

Question 5

Which point shown in the graph below is the image of point $ℓ$ after a counterclockwise rotation of $m$ about the origin?

Accepted Answer

Answer

Answer

Answer

Question 6

In $ℓ$ , where $m$ is a right angle, $n$ . What is $p$ ?

Accepted Answer

Answer

Answer

Answer

Question 7

Quadrilateral $ℓ$ with diagonals $m$ and $n$ is shown in the diagram below.

Which information is not enough to prove $ABCD$ is a parallelogram?

Accepted Answer

$ℓ||p$ and $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Answer

$ℓ||p$ and $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Answer

$ℓ||p$ and $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Answer

$ℓ||p$ and $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Question 8

An equilateral triangle has sides of length $ℓ$ . To the nearest tenth, what is the height of the equilateral triangle?

Accepted Answer

Answer

Answer

Answer

Question 9

Given: $ℓ$ , $m$ , and $n$

What is a correct sequence of similarity transformations that shows $\Delta AEC\sim\Delta DEF$ ?

Accepted Answer

a counterclockwise rotation of $ℓ$ degrees about point $m$ followed by a dilation with a scale factor of $n$ centered at point $p$

Answer

a counterclockwise rotation of $ℓ$ degrees about point $m$ followed by a horizontal translation

Answer

a rotation of $ℓ$ degrees about point $m$ followed by a horizontal translation

Answer

a rotation of $ℓ$ degrees about point $m$ followed by a dilation with a scale factor of $n$ centered at point $p$

Question 10

In the diagram of right triangle $ℓ$ , $m$ intersects hypotenuse $n$ at $p$ .

If $ABCD$ and $DB=6$ , which length of $\overline{\mathrm{AC}}$ makes $\overline{\mathrm{CD}}\perp\overline{\mathrm{AB}}$ ?

Accepted Answer

Answer

Answer

Answer

Question 11

Segment $ℓ$ is the perpendicular bisector of $m$ at $n$ . Which pair of segments does not have to be congruent?

Accepted Answer

$ℓ||p$ , $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Answer

$ℓ||p$ , $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Answer

$ℓ||p$ , $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Answer

$ℓ||p$ , $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$

Question 12

In triangle $ℓ$ , $m$ is on $n$ , and $p$ is on $r$ so that $∠H\cong∠RDO$ .

If $\overline{\mathrm{AC}}$ , $\overline{\mathrm{CD}}\perp\overline{\mathrm{AB}}$ , and $OH=4$ , what is the length of $\overline{\mathrm{CD}}$ ?

Accepted Answer

Answer

Answer

Answer

Question 13

The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a

Accepted Answer

triangle

Answer

circle

Answer

square

Answer

rectangle

Question 14

The diagonals of rhombus $ℓ$ intersect at $m$ . If the equation of the line that contains diagonal $n$ is $p$ , what is the equation of a line that contains diagonal $r$ ?

Accepted Answer

Answer

Answer

Answer

Question 15

The coordinates of vertices $ℓ$ and $m$ of $n$ are $p$ and $r$ . If the area of $∠H\cong∠RDO$ is $24$ square units, what could be the coordinates of point $C$ ?

Accepted Answer

Answer

Answer

Answer

Question 16

What are the coordinates of the center and the length of the radius of the circle represented by the equation $ℓ$ ?

Accepted Answer

center $ℓ$ and radius $m$

Answer

center $ℓ$ and radius $m$

Answer

center $ℓ$ and radius $m$

Answer

center $ℓ$ and radius $m$

Question 17

The density of the American white oak tree is $ℓ$ kilograms per cubic meter. If the trunk of an American white oak tree has a circumference of $m$ meters and the height of the trunk is $n$ meters, what is the approximate number of kilograms of the trunk?

Accepted Answer

Answer

Answer

Answer

Question 18

Point $ℓ$ is on the directed line segment from point $m$ to point $n$ and divides the segment in the ratio $p$ . What are the coordinates of point $r$ ?

Accepted Answer

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

Answer

<math>\left(4,5\frac{1}{2}\right)</math>

Answer

<math>\left(-4\frac{1}{2},0\right)</math>

Answer

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

Question 19

In circle $ℓ$ , diameter $m$ , chord $n$ , and radius $p$ are drawn, and the measure of arc $r$ is $∠H\cong∠RDO$ .

Some students wrote these formulas to find the area of sector $\overline{\mathrm{AC}}$ :

Amy $\frac{3}{10}\cdot\pi\cdot\left(BC\right)^2$

Beth $\overline{\mathrm{CD}}$

Carl $\frac{3}{10}\cdot\pi\cdot\left(\frac{1}{2}AB\right)^2$

Dex $\frac{108}{360}\cdot\pi\cdot\frac{1}{2}\left(AB\right)^2$

Which students wrote correct formulas?

Accepted Answer

Beth and Carl

Answer

Amy and Dex

Answer

Dex and Beth

Answer

Carl and Amy

Question 20

Tennis balls are sold in cylindrical cans with the balls stacked one on top of the other. A tennis ball has a diameter of $ℓ$ cm. To the nearest cubic centimeter, what is the minimum volume of the can that holds a stack of $n$ tennis balls?

Accepted Answer

Answer

Answer

Answer

Question 21

Line segment $ℓ$ , whose endpoints are $m$ and $n$ , is the image of $p$ after a dilation of $r$ centered at the origin. What is the length of $∠H\cong∠RDO$ ?

Accepted Answer

Answer

Answer

Answer

Question 22

Given: $ℓ$ and $m$ shown in the diagram below with $n$

Which statement is needed to prove $\Delta AEC\sim\Delta DEF$ using only SAS $\cong$ SAS?

Accepted Answer

<math>\overline{\mathrm{AD}}\cong\overline{\mathrm{CE}}</math>

Answer

<math>\overline{\mathrm{AE}}\cong\overline{\mathrm{CD}}</math>

Answer

<math>\angle AFD\cong\angle EFC</math>

Answer

<math>\angle CDB\cong\angle AEB</math>

Question 23

In the diagram below, $ℓ$ is the diameter of circle $m$ .

Point $D$ , which is unique from points $B$ and $ABCD$ , is plotted on circle $DB=6$ . Which statement must always be true?

Accepted Answer

$ℓ||p$ is a right triangle.

Answer

$ℓ||p$ is an isosceles triangle.

Answer

$ℓ||p$ and $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$ are similar triangles.

Answer

$ℓ||p$ and $\overline{\mathrm{BC}}\parallel\overline{\mathrm{AD}}$ are congruent triangles.

Question 24

In the diagram below, $ℓ$ is a parallelogram, $m$ is extended through $n$ to $p$ , and $r$ is drawn.

If $DB=6$ and $\overline{\mathrm{AC}}$ , what is $\overline{\mathrm{CD}}\perp\overline{\mathrm{AB}}$ ?

Accepted Answer

Answer

Answer

Answer

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