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MATH-G
HTH Roeser Coordinate Relations, Transformations, Similitude
Exam not valid for Paper Pencil Test Sessions
[Exam ID:2AHJW8
1 Given: S (-1, 8) and T (7, -9)
What is the length of ST ?A √23B 5C 5√13D √353
2 Given: P (5, 7) and T (-3, 3)
What is the slope of ?A -2
B -1 2
C 1 2
D 2
3 If the coordinates of A are (1,1) and the midpoint of AB is (-2,0) then the
coordinates of B are —A (-5, -1)B (0.5, 0.5)C (-0.5, 0.5)D (-1,0)
4 Parallelogram RSTV has coordinates R (0, 0), S (2, 4), T (6,0), and V (4, -
4). Which ordered pair represents the intersection of the diagonals of this parallelogram? (The coordinate grid may be used to help answer this question.)
A (2, 0)B (4, -1)C (3, 1) D (3, 0)
5 P (-3, 5), Q (1, 7), R (8, 1), and S (-4, -5) are connected to form a trapezoid.
What is the midpoint of SR ?A (4, -1)B (3, -1.5)C (0, -3)D (2, -2)
6 Rectangle ABCD is placed on a grid as shown.
Which is closest to the length of diagonal AC ?A 10.0B 11.3C 8.0D 11.7
7 Directions: Click on a box to choose each point you want to select. You must select all correct points.
Line t contains the points (-8, 5) and (8, -3). Identify the points other than point P with integral coordinates that is on a line parallel to t and passes through point P.
(2, -5) (-9, 1) (-6, -1)
(-2, -4) (0, -4) (-4, -2)
8 For which polygon are both x = -1 and y = -2 lines of symmetry?
A C
B D
9 Figure STARFIND is symmetric with respect to the x-axis. The coordinates of point A
are (8, 6). What are the coordinates of point N ?
A (6, -8)B (-6, 8)C (-8, 6)D (8, -6)
10 A regular quadrilateral has what type of symmetry?
A Point symmetry onlyB Both point and line symmetryC Neither point nor line symmetryD Line symmetry only
11
Which of the following statements must be true about this Venn diagram?A Quadrilaterals are not rhombi or rectangles.B All rectangles are rhombi.C Some rhombi are rectangles.D All quadrilaterals are rhombi and rectangles.
12
Which line segment is congruent to BC?A PTB PRC PQD PS
13 Beth is drawing the perpendicular bisector of ST .
Which point is on the perpendicular bisector of ST ?A WB XC YD Z
14 A bisector of AB contains which line segment?
A CGB EFC DFD DG
15 Which best describes the construction in the diagram shown?
A The bisector of a line segmentB A line segment congruent to a given line segmentC A perpendicular to a given line at a point on the lineD A perpendicular to a given line from a point not on the line
16 What type of construction is illustrated in the figure?
A The bisection of ∠DB The bisection of BDC An angle congruent to ∠DD A line segment congruent to AB
17 Which point lies on the bisector of angle PQR ?
A ZB XC WD Y
18
Which of the following statements must be true?A BD = 2BAB m∠CBD = 2m∠ABCC BA = BCD m∠ABD = m∠CBD
19 An angle congruent to angle A is being constructed.
Which ray could be drawn to construct an angle congruent to ∠∠∠∠A ?
A
B
C
D
20 A rectangular pyramid is shown.
What is the volume of the pyramid?A 864 cm3
B 432 cm3
C 288 cm3
D 108 cm3
21 A fish tank in the shape of a rectangular prism has these dimensions:
• length = 20 inches • width = 10 inches • height = 12 inches
What is the volume of water in the tank when it is full?4 5
A 2,400 cu in.B 1,920 cu in.C 1,120 cu in.D 3,000 cu in.
22 The volume of a cube is 64 cubic centimeters. What is the surface area of the cube?
A 16 cm2
B 96 cm2
C 256 cm2
D 384 cm2
23 A cone has a slant height of 10 centimeters and a lateral area of 60 π square
centimeters. What is the volume of a sphere with a radius equal to that of the cone?A 1,333π cm3
B 288π cm3
C 102π cm3
D 144π cm3
24 Directions: Click and drag each selection number to the correct box.
The ratio of the lengths of the radii of two spheres is 3:5. What is the ratio of the volumes of these two spheres?
27 125
25 The cylinders shown are similar.
What is the volume of the larger cylinder?A B C D
26
The ratio of the circumference of two circles is . The radius of the smaller circle is
8 inches. What is the radius of the larger circle?
3 2
A 12 inchesB 9 inchesC 6 inches
D 5 inches1 3
27 If a cube with side length 6 inches has its dimensions divided in half, what will be the
volume of the new cube?A 9 cubic inchesB 108 cubic inchesC 54 cubic inchesD 27 cubic inches
28 A man who is 6 feet tall casts a shadow that is 4 feet long. At the same time, a
nearby flagpole casts a shadow that is 18 feet long. How tall is the flagpole?A 22 ft.B 10 ft.C 12 ft.D 27 ft.
29 A company is creating a new cylindrical container to replace its original cylindrical
container. •The new container will have 4 times the volume of the original container. •The height of the new container will remain the same as the height of the original
container. The length of the radius of the new container will be —A 2 times the length of the radius of the original containerB 4 times the length of the radius of the original containerC 8 times the length of the radius of the original containerD 16 times the length of the radius of the original container
30 A cell phone box in the shape of a rectangular prism is shown. The height of the box
is 4 cm.
The height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included. Which is closest to the total surface area of the new box?A 479 cm2
B 707 cm2
C 738 cm2
D 959 cm2