Show:
Radicals
Polygons
Squares and Rhombus
Vocabulary Terms
Trig
100
When radicals are added and subtracted on the what can be the same?
only the endings are the same
100
The sides with common endpoints have to be what?
non colinear
100
What are three things that describe a square?
- all sides and angles are congruent -diagnols are the same -diagnols are perpendicular (they bisect)
100
What is an isometry?
The figure does not change its shape or size.
100
What is the phrase used to remember the forms/equations for trig?
SOH CAH TOA
200
When dividing two radicals what do you need to do?
rationalize
200
What does it mean when a polygon is convex? What does it mean when it is concave?
convex- all vertices point outward concave- there is at least one vertex that points inwards
200
What is the difference between a rhombus and a square?
-In a rhombus only opposite angles are congruent -diagnols are not the same -diagnols create isosceles triangles
200
What is a central angle? What is an inscribed angle?
A central angle is when the vertex touches the center making the angle the same degree as the arc. An inscribed angle is half the degree of the arc and touches the other side of the circle.
200
What is the term you use to find the angles in trig?
the inverse of SOH CAH TOA
300
What are the first three popular perfect squares and what are their simplified answers?
1. (radical 4)--2 2. (radical 9)--3 4. (radical 1)--1
300
What is the degree of each angle in a regular decagon?
Each angle is 144 degrees
300
In a square when isosceles triangles form from diagnols they also create what?
right angles that are congruent
300
What is a common tangent? What is a tangent circle?
A line that is a tangent to two circles. A tangent circle is two coplaner circles that intersect at one point.
300
What is the answer to the equation sin27=x/13.6
x=6.17
400
What is the simplified answer to radical 450 + radical 32
19 (radical 2)
400
What is the total degree in a 18-gon? What is the degree of a single angle? What is the degree of exterior angle?
total= 2880 interior= 160 exterior= 20
400
What is the total degree of two opposite angles in a rhombus?
180 degrees
400
What is a midsegment? Also what is the equation?
midsegment- segments whose endpoints are the midpoints of the legs. EQ- Base+base/2
400
What is the answer to the equation tan18= 12/x
36.93=x
500
Can you add radicals if the numbers outside the radicals are the same, but the ones inside the radicals are not? Why or Why not?
No, you can not add the numbers because to be able to add them the variable/number inside the radical need to be the same not the outside one.
500
What is the equation to find the number of sides in a polygon?
360/ exterior angle
500
True or False: A square is a rhombus but a rhombus is not a square
True- Every rhombus is not a square but every square is a rhombus
500
What is the vertex and non vertex angles in a kite?
vertex angles- do not get bisected non vertex angles- get bisected
500
What is the answer to the equation cos x= 7/9
x= 39 degrees