Geometric Solids/Lines
Triangles (Trig and Similarity)
Volume
Coordinate Geometry
Miscellaneous
100

What 3D shape is created when a rectangle is rotated about one of it's sides?

A cylinder

100
In an isosceles triangle, one base angle measures 13 degrees. What is the measure of the vertex angle?
154 degrees
100

Find the volume of a cylinder when the radius is 6 and the height is 4. Leave your answer in terms of pi. 

144pi

100

Find the distance between (-1,2) and (3,-5) to the nearest tenth.

8.1

100
Which quadrilateral has diagonals that are perpendicular and congruent? a. rhombus b. square c. trapezoid d. parallelogram
square
200

What would be the slope of a line perpendicular to the line 3x+2y=6?

m= 2/3

200

A right triangle has an angle of elevation of 20 degrees. If the hypotenuse is 12ft then what is the length of the side opposite the 20 degree angle, rounded to the nearest tenth?

4.1 ft

200

The volume of a rectangular pyramid is 192 cubic feet. The length of one side of the rectangular base is 6 ft and the height of the pyramid is 12 feet. What is the length of the other side of the rectangular base?

8 ft

200

What is the slope of the line determined by the points (-1,2) and (-3,7)?

-5/2

200
What is the y-intercept of the equation: y=-2x -8?
-8
300

What is the shape of the cross-section when a cone is cut parallel to its base?

A circle

300
A 10 foot ladder leans against a garage. The base of the ladder is 6 feet from the base of the garage. How high is the garage?
8 feet
300

A cement brick in the shape of a rectangular prism has a length of 2 ft, a width of 3 ft and a height of 1.5 ft. If the cement weighs 1.2 lbs/ft3 what is the total weight of the cement brick?


10.8 pounds

300

What is the area of the triangle whose coordinates are A: (1,6) B:(2,2) and C:(5,4)

A=7 square units

300
The sides of a rectangle are 12 and 16. What is the measure of a diagonal?
20
400

Write the equation of a line parallel to the line y=3x-2 which passes through the point (1,6). Write your answer in y=mx+b form.

y=3x+3

400
The lengths of the sides of a triangle are 7, 8, and 10. If the length of the shortest side of a similar triangle is 21, what is the length of the longest side?
30
400

A cone has a height of 4 inches while its circular base has a circumference of 12pi. Find the volume of the cone to the nearest tenth.

150.8 ft3

400

Plot the triangle with points A:(-2,2), B:(-3,4), and C:(-5,2). Rotate Triangle ABC 90 degrees about the origin and state the coordinates of Triangle A'B'C'


A': (-2,-2)

B':(-4,-3)

C':(-2,-5)

400

What is the minimum number of degrees it would take to rotate a pentagon onto itself?

72 degrees

500

write the equation of a line perpendicular to the line y=4/5x-6 that goes through the point (3,-2). Laave your answer in point slope form. (HINT: NOT y=mx+b)

y+2=-5/4(x-3)

500

Honus stands 30 ft from a lighthouse which stands 50 feet tall. What is the angle of elevation from Honus to the top of the lighthouse, rounded to the nearest degree?

59 degrees

500

Find the radius of a sphere whose volume is 36pi cm3. 

r = 3cm

500

Plot the triangle with points A:(-2,2), B:(-3,4), and C:(-5,2). Reflect Triangle ABC over the line x=1 about the origin and state the coordinates of Triangle A'B'C'

A':(4,2)

B'(5,4)

C'(7,2)

500

List out each angle that would rotate an octagon onto itself.

45, 90, 135, 180, 225, 270, 315, 360.

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