Pythagorean Theorem
SOH CAH TOA
LAW OF COSINES and SINES
Transformations
Similarity
Trivia
100
Find X. Hint: use Pythagorean Theorem
12^(2)+9^(2) = x^(2)
144 + 81 = x^(2)
x^(2)=225
x=sqrt(225) x=15
100
Express each ratio as a fraction
1. SinA
2. CosB
3. TanC
1. sinA =36/45
2. CosA =27/45
3. TanC =27/36
100
Find angle C (hint use Law of Sines).
Find angle C.
sin(C)/19=sin(97)/22
sin(C)=(19(0.99))/22
sin(C)=(18.81)/22
sin(C)=0.86
C=59.32
100
What transformation does not change the size, shape, orientation of a figure but only moves (slides) it in a specific direction? For example:
(x,y) --> (x+a,y+b)
What transformation does not change the size or shape of a figure but only moves (slides) it in a specific direction? For example:
Translation
(x,y) --> (x+a,y+b)
100
What could you use (SSS, SAS, AAS, or AA) to prove the triangles are similar? Show why and write a similarity statement.
What could you use (SSS, SAS, AAS, or AA) to prove the triangles are similar? Show how why and write a similarity statement.
Yes, by SAS. Corresponding sides are proportional and the corresponding angles inbetween the sides are congruent.
4/2 = 3/1.5 = 2
58 = 58
/_\BAC ~ /_\EDF
100
What superhero is known as the "caped crusader"?
What superhero is known as the "caped crusader"?
Batman
200
Find X using a trig function.
tan(52)=x/16
1.28=x/16
20.48=x
200
Which is used to find the side AB Law of Sines or Law of Cosines?
Which is used to find the side AB Law of Sines or Law of Cosines?
If 2 sides are given and the given angle is across the side you are looking for then you must use Law of Cosines
200
The vertices of a triangle are given as A(-1,-5), B(2, 4), and C(-3, 4). Rotate the triangle 270 degrees by coordinate notation.
The vertices of a triangle are given as A(-1,-5), B(2, 4), and C(-3, 4). Rotate the triangle 270 degrees by coordinate notation.
(x, y) --> (y, -x)
A(-1,-5) --> A'(-5,1)
B(2,4) --> B'(4,-2)
C(-3,4) --> C'(-,3)
200
The two triangles are similar. Solve for the missing side AC in triangle 2
The two triangles are similar. Solve for the missing side AC in triangle 2
(OG)/(AT) = (OD)/(AC)
16/4 = 20/(AC)
16AC=80
AC=80/16
AC=5
200
What does NPC mean in gaming?
What does NPC mean in gaming?
Non-Playable-Character
300
Solve the right triangle (find all angles and sides)
Solve the right triangle (find all angles and sides)
∠B=180−(90+28) ∠B=62
cos(28∘)=29.3/(BA)
BA=29.3/0.88
BA=33.29
tan(28)=BC/(29.3)
BC=29.3(0.53)
BC=15.52
300
Solve the triangle (find all angles and all sides)
Solve the triangle (find all angles and all sides)
c^(2)=8.22+7.62−2(8.2)(7.6)cos(65)
c^(2)=67.24+57.76−52.35 c^(2)=72.65
c=8.52
8.2/sin(A)=8.52/sin(65)
sin(A)=(8.2(sin(65)))/8.52
sin(A)=0.88
A=61.64
B=180−(65+61.64) B=53.36
300
The vertices of a triangle are given as A(-2,-3), B(1, 5), and C(-6, 1). Rotate the triangle 270 degrees clockwise then translate 2 units right and 3 units down by coordinate notation.
The vertices of a triangle are given as A(-2,-3), B(1, 5), and C(-6, 1). Rotate the triangle 270 degrees clockwise then translate 2 units right and 3 units down by coordinate notation.
(x, y) --> (-y, x)
A(-2,-3) --> A'(3,-2)
B(1,5) --> B'(-5,1)
C(-6,1) --> C'(1-,6)
(x, y) --> (x+2, y-3)
A'(3,-2) --> A''(5,-5)
B'(-5,1) --> B''(3,-2)
C'(1-,6) --> C''(3-,9)
300
Are the following triangles are similar why or why not? If so, by what (SSS, SAS, AAS, or AA)?
Are the following triangles are similar why or why not? If so, by what (SSS, SAS, AAS, or AA)?
Yes by AA. They both have a right angle. And the missing angle for the left triangle is 50 degrees. This missing angle is congruent with the given angle of the right triangle.
180 - (40 + 90) = 50
300
What blood type is the universal donor?
What blood type is the universal donor?
O negative
400
What is the only big cat that cannot roar?
What is the only big cat that cannot roar?
Cheetah