Pythagorean Theorem and Inverse
Centers and Constructions
Special Right Triangles
Trigonometry
Similar and Congruent
100
When using Pythagoras Theorem, the Hypotenuse is labeled with what letter?
c
100
What type of center is displayed below?
orthocenter
100
In a 45, 45, 90 right triangle, what operation must you do to go from the hypotenuse to the leg?
divide by sqrt2
100
Find Angle A.
angle A= 43.34 degrees
100
What are the 5 ways to tell if two triangles are congruent?
SSS, SAS, ASA, AAS, and HL
200
In a triangle, if a2+b2 > c2, what type of triangle do we have?
Obtuse triangle
200
This center is made by creating perpendicular biscetors of each side of the triangle and finding where they intersect.
Circumcenter
200
The length of the shorter leg of a 30°-60°-90° triangle is 3. What is the length of the hypotenuse?
6
200
Find side b.
b=3.7 units
200
What are the 3 ways to tell if triangles are similar?
AA, SSS, SAS
300
Calculate the length of the hypotenuse:
26
300
To create the incenter, you need to use what type of construction?
Angle bisectors.
300
The length of the longer leg of a 30°-60°-90° triangle
sqrt(108)
is. What is the length of the shorter leg?
6
300
Find x. Round to the nearest hundredths.
x=7.73 units
300
If the following triangles are similar by AA, what is the missing side length, x?
x = 14 units
400
Calculate x:
19.24
400
In the triangle below, G represents....
Centroid
400
The length of one leg of a 45°-45°-90° triangle is
sqrt(3
. What is the length of the hypotenuse?
sqrt 6
400
We use this to help us find missing angles and side lengths in right triangles? What is the saying that helps us remember it?
Trigonometry- SOH CAH TOA
400
Are the following triangles congruent, similar, or neither? If congruent or similar, state by which theorem.
Similar by AA
500
Do the following side lengths form a triangle? If so, what type of triangle is it?
3, 4.5, 5
yes, acute!
500
What is the only center that can fall outside of the triangle?
Orthocenter
500
The long leg of a 30-60-90 triangle is 10. What are the lengths of the short leg and the hypotenuse?
Short leg:
(10 sqrt3)/3
Hypotenuse:
(20sqrt3)/3
500
What equation would we use to solve for k?
Cos (53) = 45/k
500
Are the following triangles congruent, similar, or neither? If congruent or similar, state by which theorem.
Neither