Triangles
How many degrees are there in any given triangle?
180 degrees
Define the radius of a circle.
The line from the outside or circumference of the circle to the center of the circle.
What is the formula for the area of a triangle?
a = 1/2 b x h
Name the 4 main transformations that we have studied.
Translation, Reflection, Rotation, Dilation
4x + 3 = 27
x = 6
Solve for x in the following triangle:
One angle is a right angle, one angle is 63 degrees, find the missing angle.
Find the circumference of a circle with a radius of 6 inches.
c = pi x d --> c = 3.14 x 12
c = 37.68 inches
Find the area of a circle with diameter of 14 inches.
a = pi x r^2 --> a = 3.14 x 7 x 7
a = 153.86 inches^2
A shape in quadrant 3 is reflected over the y-axis. Which quadrant does it end in?
Quadrant 4
Find the population density of Germany when there are 83,200,000 people and 138,065 square miles in Germany. Round your answer to the nearest hundredth.
= 83,200,000 / 138,065
= 602.61 people/mi^2
Name the 5 triangle congruence theorems.
Solve for x:
x = 101 degrees
Find the volume of a cube with side length 8 cm.
v = l x w x h --> 8 x 8 x 8
v = 512 cm^3
A shape in quadrant 2 is rotated 270 degrees clockwise. Which quadrant does it end in?
Quadrant 3
Solve for x:
5/2 x - 1 = 8 + 2x
x = 18
Solve for side x in the right triangle:
The short side is 6cm, and the hypotenuse is 10cm. Find the missing side length.
8cm
(Pythagorean Theorem)
Solve for x:
x = 53 degrees
Find the volume of a cylinder with a height of 12 inches and a diameter of 16 inches.
v = pi x r^2 x h --> 3.14 x 8 x 8 x 12
v = 2,411.52 inches^2
Translate the following shape up 2 and right 3:
A (2,1), B (4,2), C (1,4)
Find the slope of line AB, with A (1,2) and B (3, -3).
Solve for x in the triangle:
75 degrees
What percentage of a circle is the sector with a 60-degree angle and a 9cm radius?
60 / 360 = 1 / 6
= 16.7%
Find the unused space inside a cube with a side length of 16 cm, after a sphere with a radius of 7 cm has been placed inside the cube.
volume of the cube - volume of the sphere
(16 x 16 x 16) = 4,096
(4/3 x 3.14 x 7 x 7 x 7) = 1,436.02
4,096 - 1,436.02 = 2,659.98 cm^3
A shape in quadrant 4 undergoes the following transformations:
-a reflection over the y-axis
-a reflection over the line y=x
-a rotation 180 degrees clockwise about the origin
Which quadrant does it end in?
Quadrant 1
A survery shows that 85% of people in a restaurant were satisfied with their food. Of that 85%, 40% had previously eaten there within the last month. What percentage of people had been satisfied and NOT eaten there within the last month?
100 - 40 = 60% have not eaten there within the month
60 x 85 = 51%