Math: Congruency in Triangles Unit Test, PART 2

Circle P has a diameter with endpoints at (-4, 3) and (1, 6). Find the center of the circle. A. (-1.5, 4.5) B. (1, 2) C. (0, 0) D. (-2.5, -1.5) Please select the best answer from the choices provided

A.

Analyze the image below and answer the question that follows. Image by Robert Nunnally Ignoring color, what kind of symmetry does the pinwheel have? A. rotational symmetry B. line symmetry C. both rotational and line symmetry D. neither Please select the best answer from the choices provided

A. rotational symmetry

The midpoint of 2004-06-02-01-00_files/i0180000.jpg is (-6, -3). One endpoint of 2004-06-02-01-00_files/i0180001.jpg is P(-1, -4). What are the coordinates of Q? A. Q(-11, -2) B. Q(-3.5, -3.5) C. Q(2, 11) D. Q(11, 2) Please select the best answer from the choices provided

A. Q(-11, -2)

A line contains the point (-3, 4). If the slope of the line is -2/3, write the equation of the line using slope-intercept form. Please select the best answer from the choices provided

A. y=-2/3x+2

Analyze the columns below and complete the instructions that follow. Column A Column B The slope of the line through the points 2004-06-02-02-00_files/i0180000.jpg and 2004-06-02-02-00_files/i0180001.jpg The slope of the line through the points 2004-06-02-02-00_files/i0180002.jpg and 2004-06-02-02-00_files/i0180003.jpg Compare the quantity in column A with the quantity in column B. A. The quantity in column A is greater. B. The quantity in column B is greater. C. The quantities in the two columns are equal. D. The quantities in the two columns cannot be compared. Please select the best answer from the choices provided

B.

Describe the relationship between x and y in a line with negative slope. A. y stays constant as x increases. B. y decreases as x increases. C. y decreases as x stays constant. D. y increases as x increases. Please select the best answer from the choices provide

B.

Quadrilateral DEFG is a rectangle with vertices D(-8, 2), E(2, 7), F(5, 1), and G(-5, -4). Find the area of the rectangle. A. 60 u2 B. 75 u2 C. 112 u2 D. 150 u2 Please select the best answer from the choices provided

B.

Quadrilateral TUVW has vertices 2004-06-02-02-00_files/i0260001.jpg, 2004-06-02-02-00_files/i0260002.jpg, 2004-06-02-02-00_files/i0260003.jpg, and 2004-06-02-02-00_files/i0260004.jpg. Determine if quadrilateral 2004-06-02-02-00_files/i0260005.jpg is a parallelogram.. A. No, quadrilateral 2004-06-02-02-00_files/i0260006.jpg is not a parallelogram. B. Yes, quadrilateral TUVW is a parallelogram because there are two pairs of parallel sides. C. Yes, quadrilateral 2004-06-02-02-00_files/i0260008.jpg is a parallelogram because the slopes of the diagonals are perpendicular. D. There is not enough information to determine. Please select the best answer from the choices provided

B.

The square 2004-06-02-03-00_files/i0250000.jpg has vertices P(-8, 4), Q(-5, 4), R(-5, 1), and S(-8, 1). A student determined that the equation of the line 2004-06-02-03-00_files/i0250001.jpg is 2004-06-02-03-00_files/i0250002.jpg. Evaluate the student's response. A. The student calculated the equation correctly. B. The student calculated the y-intercept correctly but did not calculate the slope correctly. C. The student calculated the slope correctly but did not calculate the y-intercept correctly. D. The student calculated neither the slope nor y-intercept correctly. Please select the best answer from the choices provided

B.

Two lines are parallel if their slopes are __________. A. 0 B. identical C. negative reciprocals D. positive Please select the best answer from the choices provided

B.

In a video game, two golfers tee off at hole 6, which has the coordinates (-32, -27). Golfer A's ball lands at (-43, -18). Golfer B's ball lands at (-44, -16). Which golfer hit the longer shot? A. Golfer A B. Golfer B C. neither, they traveled the same distance D. not enough information to determine Please select the best answer from the choices provided

B. Golfer B

The equation of PQ is y=4x+3. The equation of VT is 2x+8y. Rewrite the equation of VT in slope-intercept form and determine if PQ and VT are perpendicular. A. 2004-06-02-02-00_files/i0220007.jpg; the lines are not perpendicular. B. 2004-06-02-02-00_files/i0220008.jpg; the lines are perpendicular. C. 2004-06-02-02-00_files/i0220009.jpg; the lines are not perpendicular. D. 2004-06-02-02-00_files/i0220010.jpg; the lines are perpendicular. Please select the best answer from the choices provided

B. y=-1/4x+2; the lines are perpendicular.

Analyze the graph below and complete the instructions that follow. Quadrilateral 2004-06-02-02-00_files/i0190001.jpg has vertices at the points 2004-06-02-02-00_files/i0190002.jpg, 2004-06-02-02-00_files/i0190003.jpg, 2004-06-02-02-00_files/i0190004.jpg, and 2004-06-02-02-00_files/i0190005.jpg. Find the slope of 2004-06-02-02-00_files/i0190006.jpg. A. -4 B. -2 C. -1 D. undefined Please select the best answer from the choices provided

B. -2

Analyze the image below and answer the question that follows. Photo by Josey What is the angle of rotation of this shape? Round to the nearest tenth of a degree. A. 24.0° B. 25.7° C. 27.7° D. 30.0° Please select the best answer from the choices provided

B. 25.7

Analyze the graph below and answer the question that follows. Figure DEFG is a square. The slope of DE is 3/2. What are the slopes of EF and FG? Please select the best answer from the choices provide

B. EF, -2/3, FG, 3/2

Analyze the image below and answer the question that follows. Photo by fdecomite What kind of symmetry does the toy have? A. rotational symmetry B. line symmetry C. both rotational and line symmetry D. neither Please select the best answer from the choices provided

B. Line symmetry

Quadrilateral RSTU has vertices at R(2, -2), S(4, -3), T(4, -6), and U(2, -7). Which of the following statements is true? A. The diagonals are the same length, which is greater than 5. B. The diagonals are the same length, which is less than 5. C. The length of diagonal 2004-06-02-01-00_files/i0270001.jpg is greater than that of diagonal 2004-06-02-01-00_files/i0270002.jpg. D. The length of diagonal 2004-06-02-01-00_files/i0270003.jpg is less than that of diagonal 2004-06-02-01-00_files/i0270004.jpg. Please select the best answer from the choices provided

B. The diagonals are the same length, which is less than 5.

Write the equation of the line that passes through the point (-6, 2) and is parallel to the line whose equation is x = -10, then write the equation of the line that passes through the point (-6, 2) and is perpendicular to the line whose equation is x = -10. Please select the best answer from the choices provided

B. x=-6, y=2

Analyze the graph below and complete the instructions that follow. Write the equation of the line that is parallel to the given segment and that passes through the point (-3, 0). Please select the best answer from the choices provided

B. y=-1/3x-1

Analyze the graph below and complete the instructions that follow. JKL has vertices at 2004-06-02-02-00_files/i0280002.jpg, 2004-06-02-02-00_files/i0280003.jpg, and 2004-06-02-02-00_files/i0280004.jpg. Determine if is a right triangle. A. No, is an equilateral triangle. B. No, is an obtuse triangle. C. Yes, is a right triangle. D. There is not enough information to determine. Please select the best answer from the choices provided

C.

Analyze the image below and answer the question that follows. Image by Enrique Flouret What is the angle of rotation of the image? A. 60° B. 90° C. 120° D. 180° Please select the best answer from the choices provided

C.

Analyze the image below and answer the question that follows. 2004-05-02-02-00_files/i0090000.jpg Photo courtesy of the US Army What order does the star shown here have? Please select the best answer from the choices provided

C. order 5

Analyze the graph below and answer the question that follows. 2004-06-02-01-00_files/i0220000.jpg If the vertices of / are B(-3, 3), C(3, 5), and D(-1, 0), what is the perimeter? A. 10.89 units B. 11.41 units C. 16.33 units D. 17.00 units Please select the best answer from the choices provided

C. 16.33 units

Analyze the graph below and complete the statement that follows. / If the rise of BC is 8 and the run of BC is 2, the slope of BC is _____. A. 2004-06-02-02-00_files/i0200005.jpg B. 2004-06-02-02-00_files/i0200004.jpg C. 2004-06-02-02-00_files/i0200006.jpg D. 2004-06-02-02-00_files/i0200007.jpg Please select the best answer from the choices provided

C. 4

A bus travels through the city and stops every mile. The first stop on the route is the 8th Avenue Coffee Shop, which is located 15 blocks east and 22 blocks north of the central station. The last stop on the route is the airport, which is located 25 blocks west and 36 blocks south of the central station. A student calculated the middle stop along the bus route to be located 20 blocks east and 29 blocks north of the central station. Evaluate the student's answer. A. The answer is correct. B. The answer is not correct. The student averaged a horizontal movement with a vertical movement. C. The answer is not correct. The student did not compute the sums of the horizontal and vertical directions correctly. D. The answer is not correct. The student did not average the distances. Please select the best answer from the choices provided

C. The answer is not correct. The student did not compute the sums of the horizontal and vertical directions correctly.

A line segment can have __________. A. line symmetry B. rotational symmetry C. both line symmetry and rotational symmetry D. neither line symmetry nor rotational symmetry Please select the best answer from the choices provided

C. both line symmetry and rotational symmetry

The equation of KL is y+3=2/3(x-6). Rewrite the equation of the line in slope-intercept form. Please select the best answer from the choices provided

C. y=2/3x-7

Find the distance between the points A(10, -9) and B(8, 7). Round your answer to the nearest hundredth. A. 5.09 B. 10.63 C. 15.00 D. 16.12 Please select the best answer from the choices provided

D.

Which figure has the correct lines of symmetry drawn in? A. 2004-05-02-02-00_files/i0230000.jpg B. 2004-05-02-02-00_files/i0230001.jpg C. 2004-05-02-02-00_files/i0230002.jpg D. 2004-05-02-02-00_files/i0230003.jpg Please select the best answer from the choices provided

D.

Which figure has the correct lines of symmetry drawn in? Please select the best answer from the choices provided

D.

Find the perimeter of rectangle 2004-06-02-01-00_files/i0250000.jpg, whose vertices are Q(-2, 2), R(1, 0), S(0, -1), and T(-3, 1). A. 5.02 units B. 5.09 units C. 7.29 units D. 10.04 units Please select the best answer from the choices provided

D. 10.04

What angle of rotation does the letter S have? A. 0° B. 90° C. 120° D. 180° Please select the best answer from the choices provided

D. 180

Analyze the graph below and answer the question that follows. Figure LMNO is a rectangle. The slope of 2004-06-02-02-00_files/i0250002.jpg is 2004-06-02-02-00_files/i0250003.jpg. What are the slopes of 2004-06-02-02-00_files/i0250004.jpg and 2004-06-02-02-00_files/i0250005.jpg? Please select the best answer from the choices provided

D. MN: 2; OL: 2

A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (-12, -16), and San Francisco is located at (-36, 5). Along the trip, the family stops in Blythe, located at (-20, -9), and Los Angeles, located at (-33, -4) on the map. Find the total distance of the trip. A. d = 21.26 B. d = 24.19 C. d = 28.24 D. d = 34.05 Please select the best answer from the choices provided

D. d = 34.05

What is the equation of the line that passes through the points (-12, -8) and (-17, -16)? Please select the best answer from the choices provided

D. y+16=8/5(x+17)

A line contains the points (3, -2) and (-6, -8). Write the equation of the line using point-slope form. Please select the best answer from the choices provided

D. y+8=2/3(x+6)

Analyze the graph below and complete the instructions that follow. Write the equation of the perpendicular bisector of RS. Point R is located at (-1, 3), and point S is located at (3, 1). Please select the best answer from the choices provided

D. y=2x

Write the equation of the line that is parallel to the line whose equation is y = -4 and that passes through the point (1, 5). Please select the best answer from the choices provided

D. y=5

The equation of a line is y = 3. Write an equation in slope-intercept form of a line parallel to y = 3 that passes through (0, 6).

y=6