The radius of a sphere is 5 feet. Find the area of the great circle of this sphere in terms of pi.
25pi
100
If triangle ABC is similar to triangle DEF, what is the relationship of the corresponding angles?
They are congruent.
100
Which quadrilateral has congruent diagonals that do not bisect each other?
isosceles trapezoid
100
Chords AB and CD intersect at E. If CE =6, ED =4, and AE =3, find EB.
EB = 8
100
State the rule used to rotate 180 degrees.
(-x, -y)
200
A cylinder and a cone each have a radius of 3 in. and a height of 8 in. What is the ratio of the volume of the cone to the volume of the cylinder in simplest form?
1:3
200
Two angles of a triangle measure 24 degrees and 48 degrees. What type of triangle is triangle ABC ?
a) right
b) isosceles
c) obtuse
d) acute
c) obtuse
200
If two consecutive sides of a rhombus are represented by 3x - 6 and x + 14, find the perimeter of the rhombus.
perimeter = 96
200
Tangent AB and secant ACD are drawn to circle O from point A. If AB = 6 and AC = 4. Find AD.
AD = 9
200
State the rule used to reflect over the line y = - x.
(-y, -x)
300
What is a polygon called if the sum of its interior angles equals 1440°?
decagon
300
Two sides of an isosceles triangle measure 3 and 7. Which of the following could be the measure of the third side? Explain.
a) 9
b) 7
c) 5
d) 3
b) 7
Triangle Inequality Theorem must be satisfied. (4<7<10)
300
In rectangle DATE, diagonals DT and AE intersect at S. If AE = 40 and ST = x + 5, find the value of x.
x = 15
300
State the formulas used to calculate the circumference of a circle and the area of a circle.
C = (pi)(diameter) OR C = 2(pi)(r)
A = (pi)(radius squared)
300
Define point symmetry. Give an example.
Turn the figure up-side-down (180 degrees) and it looks like the original figure.
The letter S has point symmetry.
400
Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?
(Round answer to the nearest tenth of a cubic inch.)?
18.8
400
The vertex angle of an isosceles triangle measures eight times the measure of a base angle. Find the measure of a base angle.
18 degrees
400
The perimeter of a rhombus is 60. If the length of its longer diagonal measures 24, find the length of the shorter diagonal.
shorter diagonal = 18
400
Secant AB intersects circle O at D, secant AC intersects circle O at E. If AE = 4, AC = 24, and AB = 16, find AD.
AD = 6
400
Find the coordinates of A(-2,3) after a reflection over the line y = x followed by a rotation of 90 degrees.
(2, 3)
500
Find the volume of a prism whose base is an equilateral triangle with a side of 4 and whose length is 6.
24 radical 3
500
The sides of a triangle are 5, 6 and 10. Find the perimeter of a similar triangle whose shortest side is 15.
perimeter = 63
500
The perimeter of a square is 24.
In simplest radical form, find the
length of the diagonal of the square.
6 radical 2
500
Two chords intersect within a circle to form an angle whose measure is 53°. If the intercepted arcs are represented by 3x + 3 and 10x - 14, find the measure of larger of these two arcs.
76 degrees
500
State the coordinates of (-1, 4) after completing the following transformations:
1st reflect over the line y = 2, then translate 3,-2, then reflect through the point (0,1).