Random #1
Random #2
Random #3
Random #4
Random #5
You Guessed it, Random #6
100
A pile of 6 tons of salt is in the shape of a cone. A contractor is designing a cylindrical storage container with the same diameter and height as the cone. How many tons of salt will the new container hold?
The new container will hold 18 tons of salt when full.
100
A circle has center (5, −4) and radius 8. What is the equation for the circle?
(x-5)^2+(y+4)^2=64
100
Which is equivalent to cos 35°?
𝖠 sin 35°
𝖡 sin 55°
𝖢 sin 110°
𝖣 sin 145°
B. sin 55
100
n △ABC, AC = BC and m∠C = 40°. Find m∠B.
m∠B=70
100
If △ABC is a dilation of △XYZ, select all statements that must be true.
A. m∠A = m∠X
B. m∠C = m∠Z
C. AC‾ ≅ XZ‾
D. area of △ABC is greater than area of △XYZ
E. perimeter of △ABC is less than perimeter of △XYZ
A and B
100
Select all the steps that could be used to help prove that parallelogram ABCD is a rhombus.
A. Check that each vertex is a right angle.
B. Check that all side lengths are equal.
C. Check that the diagonals are perpendicular.
D. Check that the diagonals are the same length.
E. Check that the adjacent sides are different lengths.
B and C
200
A ray of sunlight forms a 24 degree angle with the ground. What is the length of the shadow cast by a person 1.82 m tall?
4.09 m
200
What additional information proves △PQR ≅ △STU? Select all that apply.
A. △PQR is a translation of △STU.
B. △PQR is a dilation of △STU.
C. ∠P ≅ ∠S
D. ∠Q ≅ ∠T
E. ∠R ≅ ∠U
A and C
200
When constructing the perpendicular bisector of a segment, which of the following steps should be done first?
𝖠 Draw an arc with the compass.
𝖡 Draw a line with the straightedge.
𝖢 Set the length of the compass to longer than half the length of the segment.
𝖣 Set the point of the compass on an endpoint.
C
200
Sort the following steps into ones that are required, and ones that are not required to show that △ABC ≅ △DEC.
1. By the diagram notation, m∠BAC = m∠CDE, and AC = CD.
2. By the properties of congruent triangles, ∠ABC ≅ ∠DEC.
3. By the Angle-Side-Angle theorem, △ABC ≅ △DEC.
4. By the Vertical Angles Theorem, ∠BCA ≅ DCE.
Required: 1, 3, 4
Not required: 2
200
Line segment UV is 12 cm long and dilated with a scale factor of 1.5. What is the difference between the lengths of UV and U′V′?
6 cm
200
Select all the scale factors of dilations with center A that map △ABC to △AEF.
A. AE/AB
B. AF/AC
C. AC/AF
D. BC/EF
E. EF/BC
A, B, and E
300
Triangle XYZ is rotated 90°counterclockwise about the origin to produce △X′Y′Z′. What are the coordinates of △X′Y′Z′?
X'(1,1), Y'(-3,2), Z'(-2,5)
300
What term best describes the quadrilateral formed by A(2, 3), B(4, 6), C(8, 9), and D(5, 5)?
kite
300
What is the result of a dilation with scale factor 2 and center at (–1, 2) on the line y = 2x + 4? The result is a line that is
◻ parallel
◻ perpendicular
◻ skew
◻ unchanged
unchanged
300
A sphere of radius 7 in. is placed inside a rectangular prism with length 15 in., width 18 in., and height 20 in. What is the volume of the prism not occupied by the sphere?
3963.2 cubic inches
300
What is the area of △JKL, in square units?
8.5
300
Find the measure of ∠T.
41 degrees
400
Parallel line segments AB and CD are reflected across the perpendicular bisector of AB. Select all the true statements.
A. A’B’ is perpendicular to AB.
B. A’B’ is perpendicular to C’D’.
C. A’B’ is parallel to C’D’.
D. A’B’ is congruent to AB.
E. A’B’ is congruent to C’D’.
C and D
400
Suppose △ABC has coordinates A(2, 3), B(5, 1), C(4, 4), and △ABC is mapped to △A′B′C′ by a reflection across the line y = −5 followed by a translation 1 unit left. Select all the statements that are true about △A′B′C′.
A. All the vertices of △A′B′C′are in Quadrant II.
B. All the vertices of △A′B′C′are in Quadrant IV.
C. The x-coordinates of A′, B′, and C′ are all negative.
D. The y-coordinates of A′, B′, and C′ are all positive.
E. The y-coordinates of A′, B′, and C′ are all negative.
B and E
400
Find BD.
6
400
If the arc shown has length 8 units, what is the area of the sector to the nearest tenth of a square unit?
24.0
400
What solid will each figure form?
Figure A: cylinder
Figure B: cylinder
Figure C: sphere
400
Luke rolls a number cube and will win a game with an outcome of an even number or 5. Complete the statement.The winning outcomes are the [◻ union◻ intersection◻ complement◻ probability◻ distribution] of {2, 4, 6} and {5}.
union
500
Points A, B, and C are collinear. If BC = 6.4 units and AC = 11.2 units, what are all possible values of AB.
4.8 units and 17.6 units
500
Complete the sentence to make a true statement about the symmetry of a regular polygon.A regular polygon with ten sides [◻ does OR◻ does not have] rotational symmetry and [◻ does OR ◻ does not have] reflectional symmetry.
Complete the sentence to make a true statement about the symmetry of a regular polygon.A regular polygon with ten sides does have rotational symmetry and does have reflectional symmetry.
500
Label each set of angles with their angle relationship
∠2 ≅ ∠6
∠4 ≅ ∠5
∠6 ≅ ∠7
∠5 ≅ ∠8
∠2 ≅ ∠6: corresponding angles
∠4 ≅ ∠5: alternate interior angles
∠6 ≅ ∠7: vertical angles
∠5 ≅ ∠8: vertical angles
500
What is cos C?
(4sqrt13)/17
500
Find the volume of a basketball with diameter 9.5 inches. Use 3.14 for 𝜋 and round to the nearest hundredth.
V=448.69 cubic inches