Question 1

In the diagram below, a line reflection followed by a rotation maps $\bigtriangleup ABC$ onto $\bigtriangleup DEF$ .

Which statement is always true?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 2

A circle is continuously rotated about its diameter. Which threedimensional object will be formed?

Accepted Answer

sphere

Answer

prism

Answer

cylinder

Answer

cone

Question 3

In the diagram below of $\bigtriangleup ABC$ .

If $CL=3.5,\ LE=7.5,$ and $EA=9.5,$ what is the length of $\overline{\mathrm{AR}}$ , to the nearest tenth?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 4

Right triangle $\bigtriangleup ABC$ is shown below.

Which trigonometric equation is always true for triangle $CL=3.5,\ LE=7.5,$ ?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 5

In the diagram of $\bigtriangleup ABC$ below, $\bigtriangleup DEF$ bisects angle $BAC$ , and altitude $\overline{\mathrm{B}D}$ is drawn.

If $m\angle C=50°$ and $m\angle ABC=60°,\ m\angle FEB$ is

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 6

A jewelry company makes copper heart pendants. Each heart uses $\bigtriangleup ABC$ of copper and there is $\bigtriangleup DEF$ pound of copper per cubic inch. If copper costs $BAC$ per pound, what is the total cost for $\overline{\mathrm{B}D}$ copper hearts?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 7

In right triangle $\bigtriangleup ABC$ shown below, $\bigtriangleup DEF$ , and $BAC$ .

The ratio of $\overline{\mathrm{AR}}$ is

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 8

In $\bigtriangleup ABC$ below, $\bigtriangleup DEF$ is drawn such that $BAC$ and $\overline{\mathrm{B}D}$ are on $\overline{\mathrm{AB}}$ and $\overline{\mathrm{AC}}$ , respectively.

If $\overline{\mathrm{DE}}\parallel\overline{\mathrm{BC}}$ , which equation will always be true?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 9

Which polygon does not always have congruent diagonals?

Accepted Answer

rhombus

Answer

isosceles trapezoid

Answer

rectangle

Answer

square

Question 10

If the circumference of a standard lacrosse ball is $\bigtriangleup ABC$ cm, what is the volume of this ball, to the nearest cubic centimeter?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 11

Which polygon always has a minimum rotation of 180° about its center to carry it onto itself?

Accepted Answer

https://uploads.quizalize.com/d095a2ff-88f1-41ba-ba95-a930bf0b0d71/question/cbc22a92045f958419d65933b9414ffe6627b14b.jpg

Answer

https://uploads.quizalize.com/d095a2ff-88f1-41ba-ba95-a930bf0b0d71/question/cff7f5414be837a5a499556439e8465e62122fbe.jpg

Answer

https://uploads.quizalize.com/d095a2ff-88f1-41ba-ba95-a930bf0b0d71/question/a31759861907f135991ba84ffbd45870c75d460e.jpg

Answer

https://uploads.quizalize.com/d095a2ff-88f1-41ba-ba95-a930bf0b0d71/question/44a33a5ce9473d00febabb728f2b467b4cf07791.jpg

Question 12

Circle $\bigtriangleup ABC$ is drawn below with secant $\bigtriangleup DEF$ . The length of tangent $BAC$ is $\overline{\mathrm{B}D}$ .

If the ratio of $m\angle C=50°$ is $m\angle ABC=60°,\ m\angle FEB$ , what is the length of $\overline{\mathrm{DE}}\parallel\overline{\mathrm{BC}}$ ?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 13

The equation of a line is $\bigtriangleup ABC$ . All lines perpendicular to this line must have a slope of

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 14

What are the coordinates of the center and length of the radius of the circle whose equation is $\bigtriangleup ABC$ ?

Accepted Answer

center $\bigtriangleup ABC$ and radius $\bigtriangleup DEF$

Answer

center $\bigtriangleup ABC$ and radius $\bigtriangleup DEF$

Answer

center $\bigtriangleup ABC$ and radius $\bigtriangleup DEF$

Answer

center $\bigtriangleup ABC$ and radius $\bigtriangleup DEF$

Question 15

In the diagram below of right triangle $\bigtriangleup ABC$ , altitude $\bigtriangleup DEF$ is drawn to hypotenuse $BAC$ .

If $\overline{\mathrm{AR}}$ and $m\angle C=50°$ , what is the length of $m\angle ABC=60°,\ m\angle FEB$ ?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 16

Segment $\bigtriangleup ABC$ is the perpendicular bisector of $\bigtriangleup DEF$ at point $BAC$ . Which statement is always true?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 17

In the diagram below of circle $\bigtriangleup ABC$ , $\bigtriangleup DEF$ and $BAC$ are chords, and $\overline{\mathrm{B}D}$ .

If $m\angle C=50°$ , the area of the shaded sector $m\angle ABC=60°,\ m\angle FEB$ is

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 18

Quadrilateral BEST has diagonals that intersect at point $\bigtriangleup DEF$ . Which statement would not be sufficient to prove quadrilateral BEST is a parallelogram?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Question 19

The equation of line $\bigtriangleup ABC$ is $\bigtriangleup DEF$ . Line $BAC$ is the image of line $\overline{\mathrm{B}D}$ after a dilation with a scale factor of $\overline{\mathrm{AB}}$ centered at the origin. What is an equation of line $\overline{\mathrm{AC}}$ ?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 20

A cylindrical pool has a diameter of $\bigtriangleup ABC$ feet and height of $\bigtriangleup DEF$ feet. The pool is filled to $BAC$ foot below the top. How much water does the pool contain, to the nearest gallon? $\overline{\mathrm{AB}}$

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 21

The area of $\bigtriangleup ABC$ is $\bigtriangleup DEF$ . A second triangle, $BAC$ , is formed by connecting the midpoints of each side of $\overline{\mathrm{B}D}$ . What is the area of $\overline{\mathrm{AB}}$ , in square centimeters?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 22

On the set of axes below, the endpoints of $\bigtriangleup ABC$ have coordinates $\bigtriangleup DEF$ and $BAC$ .

If $\overline{\mathrm{AR}}$ is dilated by a scale factor of $m\angle C=50°$ centered at $m\angle ABC=60°,\ m\angle FEB$ , what are the coordinates of the endpoints of its image, $\overline{\mathrm{DE}}\parallel\overline{\mathrm{BC}}$ ?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$ and $\overline{\mathrm{BE}}\parallel\overline{\mathrm{TS}}$

Question 23

In the circle below, $\bigtriangleup ABC$ and $\bigtriangleup DEF$ are chords, $BAC$ is tangent at point $\overline{\mathrm{B}D}$ , and $\overline{\mathrm{AB}}$ .

Which statement is always true?

Accepted Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Answer

$\overline{\mathrm{BC}}\cong\overline{\mathrm{EF}}$

Question 24

In the diagram below of $\bigtriangleup ABC$ , $\bigtriangleup DEF$ and $BAC$ are the midpoints of $\overline{\mathrm{B}D}$ and $\overline{\mathrm{AB}}$ , respectively, and $\overline{\mathrm{AC}}$ is drawn.

$I. AA \ similarity \ II. SSS \ similarity \ III. SAS \ similarity$

Which methods could be used to prove $\bigtriangleup ABC\sim\bigtriangleup ADE$ ?

Accepted Answer

I, II, and III

Answer

II and III, only

Answer

I and III, only

Answer

I and II, only

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