Pythagorean Theorem And Trig
When finding the missing side of a right triangle, which formula must we use?
A2+B2=C2
True or false: central angles are congruent to their arcs.
True
What makes two polygons similar?
The polygons have corresponding angles that are congruent and corresponding sides that are proportional
What is the definition of a figures surface area.
The total area of the "face" or surface of the shape
What is my weekly Wednesday tradition?
Wearing Pink, SLAYYYYYYY!
Which trigonometric function describes the following scenario:
Opposite/Hypotenuse
Sine
Given x2+(y-4)2=4, what is the radius of the circle when plotted on a graph AND where is the center of the circle located?
Center:(0,4)
Radius: 2
A trapezoid is scaled up by a given scaling factor. The original shape has two side lengths labeled as 14 and 14. When scaled up, these sides become 35. The original trapezoid also has a side labeled as 16. When scaled up, what is the new measurement of this side?
40
What is the surface area of a cube with the following measurements:
Length: 7
Width: 2
Height: 8
172 Units2
How many siblings do I have? (Bonus points if you can list how many brothers and sisters I have)(Extra if you can list their ages)
5 siblings (4 brothers 1 sister) (29,22,12,9,6)
Calculate the missing angle of the triangle described below:
If I am given two side lengths of a triangle, the opposite of the angle is 43 and the hypotenuse is 51.
Missing Angle is 57.47o
Given center point (-7,-2) and r=5, write the equation for the given circle
(x+7)2+(y+2)2=25
A triangle is scaled up. The original triangle has side lengths 8 and 10. The scaled up triangle has side lengths 15 and 12. What is the scale factor?
2/3
What is the Volume of the given cylinder?
22 cm Diameter and a height of 6 cm
2280.8 cm3
What is the name of my roomate's dog? (Bonus points if you can name what kind of dog he is)
Rico (Yorkie)
Calculate the missing side of the given triangle:
I am given an angle measurement of 41o and the hypotenuse of the triangle is 17. What is the measurement of the side opposite of the given angle.
Solve for X in the given scenario
The radius of a circle is 12.1 units. The circle has two tangent lines, one being 14x+1 and the other being 15x. What is x?
1
A trapezoid has been scaled by a scalar factor. The sides of the original trapezoid are 12 and 12.8. The new trapezoid has been scaled up. The side length that correlates with 12 is 18+x and the side length that correlates with 12.8 is 32. Solve for X AND give the Scalar factor. You MUST give both for answer credit.
X = 12
Scalar Factor is 2.5
A sphere has a radius of 9km. What is the volume of the sphere?
3053.63 km3
What is my go to (homemade) breakfast sandwich? (Have to list every aspect of the sandwich to get the points)
Turkey and cheese with mayo on (sliced) bread
Calculate the area of the given triangle.
I have a triangle which is divided by a dotted line from top to bottom. The triangle on the left has a given angle of 38o, and the dotted line is opposite of that angle. The triangle on the right has a given angle of 42o and the adjacent side to the given angle is 8. What is the area of the given triangle?
The Area of the triangle is 61.992 Units2
Find the diameter of the circle with the given information.
A triangle is formed from connecting the tangent line to the diameter. The measurement of the tangent line is not given. The angle opposite of the tangent line is 39o. What is the measurement of the diameter of the circle? Bonus points for giving the answer of the length of the tangent line.
Tangent line = 13.85
Diameter = 17.09
The following polygons are similar to each other, solve for x.
An arrow has side lengths 2x+10 and 36. When the figure undergoes the scalar factor, the side correlating with 2x+10 becomes 20, and the side correlating with 36 becomes 30. Solve for x
X=7
VALENTIN WILL DRAW THE FIGURE ON THE BOARD
161.2 Units2