This theorem states that if two angles are vertical angles, then their measures are equal.
What is the Vertical Angles Theorem?
100
Name and define the three postulates of equality.
Reflexive Property of Equality: a=a
Symmetric Property of Equality: If a=b, then b=a
Transitive Property of Equality: If a=b and b=c, then a=c
100
This definition states that _______ is the union of two rays that have the same endpoint.
What is the Definition of Angle?
100
How many degrees are in half of a circle?
What is 180 degrees?
100
What is the measure of the clock hands at 5:00?
What is 150 degrees?
200
This theorem states that if two angles form a linear pair, then they are supplementary.
What is the Linear Pair Theorem?! :)
200
Pretty please- name and define the two Postulates of Equality and Operations.
Addition Property of Equality: If a=b, then a+c= b+c
Multiplication Property of Equality:If a=b, then ac=bc
200
This definition states that two non-straight and nonzero angles are ______ if and only if a common side is the interior of the angle formed by the non-common sides.
What is the Definition of Adjacent Angles?
200
Name all central angles.
What is angle AOE, EGD, COD, BOC, BOA, EOC, and DOB?
200
Let's say you and all your friends ordered pie from the yellow house located at 40 Allen Drive. If this pie made up of 217 body parts is cut into 8 equal slices what is the degree measure of the arc of 3 pieces of pie?
What is 135 degrees?!
300
This theorem states that two non-vertical lines are parallel if and only if they have the same slope.
What is the Parallel Lines and Slopes Theorem?
300
Name the two equations for the Multiplication Property of Inequality.
If a0, then acbc
300
A _____ of a circle is a set of points made up of two points on the circle, called the endpoints of the _____.
What is the definition of Arc?
300
Suppose the measure of arc DE =45. Find the measure of angle EOD and the measure of arc DAE.
What is 45 and 315?
300
(See separate document)
Conclusions:
1. Angle 1 and Angle 2 form a linear pair.
2. Angle 1 and Angle 2 are supplementary angles.
3. The measure of Angle 1 + The measure of Angle 2 = 180.
Give the justifications.
1. What is the given (from the figure)?
2. What is the Linear Pair Theorem?
3. What is the Definition of Supplementary Angles?
400
This theorem states that
a. if two angles have the same measure, their complements have the same measure
b. if two angles have the same measure, their supplements have the same measure
What is the Equal Angles Theorem?
400
Name and define the two Postulates of Equality and Inequality.
Equation to Inequality Property: If a and b are positive numbers and a+b=c, the c>a and c>b
Substitution Property: If a=b, then a must be substituted for b in any expression
400
This definition states that _____ is a correspondence between two sets of points such that each point in the pre-image set has exactly one image and each point in the image set has exactly one preimage.
HINT
(this is also known as map)
What is the definition of Transformation?
400
True or false- the measure of arc ECD= the measure of arc EBD.
What is true?
400
If you were facing east and wished to face northwest, by how much must you turn?
What is 135 degrees?
500
This theorem states that two nonvertical lines are perpendicular if and only if the product of their slopes is -1.
What is the Perpendicular Lines and Slopes Theorem?
500
Name and define two of the Postulates of Inequality and Operations (don't do the Multiplication Property of Inequality).
Transitive Property of Inequality: If a
500
This definition states that ______ of a conditional is a sequence of justified conclusions starting with the antecedent and ending with the consequent.
What is the Definition of Proof?
500
Suppose ray OB bisects angle AOD. What is the measure of BA?
What is 90 degrees?
500
Why are we learning about what is in chapter 3? What are some real-life examples of some of the concepts taught in chapter 3?