Coordinate Geometry
What is the distance between point 1 (4,10) and point 2 (2,5)?
d=5.3852 units
Classify this triangle by its angles and by its sides.
Side 1= 3 inches. Angle 1= 40º
Side 2= 4.596 inches. Angle 2= 40º
Side 3= 3 inches. Angle 3= 100º
Obtuse, Isosceles
What is the equation to find the volume of a prism?
V=Bh
(Volume)=(area of the Base)(Height of the prism)
What is the circumference of a circle with a diameter of 28? Answer in terms of π (pi).
28π units
A polygon that has 4 congruent sides and 4 congruent angles
Square
What is the midpoint of point 1 (0, 2) and point 2 (6, 1)?
m=(3, 1.5)
In triangle DEF, angle D= 90º. What is the sum of angle E and angle F?
90º
Find the lateral surface area of a rectangular prism with a length of 3, a width of 7, and a height of 11.
231 units
What is the circumference of a circle with a radius of 17? Pi=3.14
106.76 units
Two angles whose measures have a sum of 180º
What is the slope of a line that is parallel to a line with the equation y=5/16x+3
5/16
In Triangle ABC, angle B is 35º and angle A is 72º. Point C lies on line BD. What is the measure of angle ACD?
107º
What is the height of a rectangular prism with a volume of 1566, a length of 12, and a width of 9?
14.5 units
What is the radius of a circle with a circumference of 37.68 inches? Pi=3.14
6 inches
A line that is in the same plane as a circle and intersects the circle at exactly one point.
Tangent (of a circle)
What is the slope of a line that is perpendicular to a line with the equation y=-4/3x+7
3/4
In Triangle HIK, Point J lies on line IK, and line HJ bisects line IK. Find the measure of line IJ if HK = 15, JK = 8, and HI = 20. Round your answer to the nearest thousandth.
IJ = 10.667
Find the volume of a pentagonal prism with a side length of 5 inches and a height of 8 inches. HINT: the distance from the midpoint of a side of the pentagon to the middle of the pentagon is 3.44 inches.
344 cubic inches
What is the area of a circle with a radius of 13.5 meters? Pi=3.14. Round your answer to the nearest hundredth.
572.27 square meters
A polygon that consists of 12 sides.
Dodecagon
Solve this system of equations:
y=-1/3x-1
y=-16/24x+5
These lines are parallel, therefore there is no solution.
Find the centroid of triangle XYZ with vertices at X(-3, 5), Y(-2, 1), and Z(-7, 3). Note: A graph is recommended.
(-4, 3)
Find the lateral surface area of a cone with a radius of 6 inches and a slant height of 13 inches. Round to the nearest hundredth. Pi=3.14.
244.92 inches
What is the area of a circle with a diameter of 142.95 kilometers? Pi=3.14. do not round.
16041.24146 square kilometers
The point of concurrency of the three perpendicular bisectors of a triangle.
Circumcenter (of a triangle)