Congruence and Similarity
In a bowtie proof, what can be assumed to be true?
The central angles are vertical and congruent
On the diagram, if <ADC is 150, what is the measure of arc AC?
150
a + b = c
-a -a
Subtraction Property of Equality
Adjacent Angles
Two angles that share a side
Area of a Trapezoid
(b1+b2)/2 * h
In diagram A, are the triangles congruent? If so, by what theorem?
No
124
AB = BC and BC = CD
AB = CD
Substitution
Inscribed Angle
Angle created by two chords, where the vertex lies on the circle's edge
Area of a Circle
pi r 2
In diagram B, are the triangles congruent? If so, by what theorem?
Yes. Hypotenuse Leg
On the diagram, what is line BC?
Corresponding Angles
A Polygon with all sides and angles congruent
Midpoint Formula
(x+x/2, y+y/2)
In diagram C, are the triangles congruent? If so, by what theorem?
Yes. SAS
On the diagram, what is line AB?
Secant Line
Diagram X
SameSide Interior Angles
Intercepted Arc (in the context of last week's lesson)
An arc created by an inscribed angle / central angle
Distance Formula
Root(x-x)2 + (y-y)2
DAILY DOUBLE!!!
Name all Similarity Theorems we covered in class so far
AA, SAS, SSS
If you draw an inscribed quadrilateral, what is true?
Opposite angles are supplementary
Alternate Exterior Angles
What is the difference between a ratio and a proportion?
Ratio compares two numbers (A:B)
Proportion compares two relationships(A/B:C/D)
Distance from a Point to a Line Formula
|ax12+bx2+c| / root(a2+b2)