Show:
Definitions and Postulates
Angle Relationships
Segments
Theorems and Conditional Statements
Properties of Equality and Congruence
100
A plane contains at least ____________ points
What is three non collinear
100
If angle A and angle B are complementary, and angle A=64, what is the measure of angle B?
What is 26 degrees
100
If segment AC=16 and point B is the midpoint of segment AC, what is the distance from point B to point C?
What is 8 units
100
If two angles are vertical angles, then they are congruent.
What is the Vertical Angles Theorem
100
a=a by the _____________
What is the reflexive property of equality
200
If two angles are congruent, then the measures of the two angles are equal by the _____________
What is the definition of congruent angles
200
Angle F and angle G are vertical angles. If angle F is 157 degrees, what is the measure of angle G?
What is 157 degrees.
200
Complete the statement. XY+____=XZ by the segment addition postulate.
What is YZ
200
If two angles are complimentary to the same angle or to congruent angles, then they are congruent.
What is the Congruent Compliments Theorem
200
a(b+c)=ab+ac by the ________
What is the distributive property
300
If two angles form a linear pair, then they are supplementary, i.e., the sum of their measure is 180 degrees by the ______________
What is the linear pair postulate
300
Let angle A and angle B be supplementary angles. If angle A is x+40 and angle B is 3x-20, what is the measure of angle A and angle B?
What is 80 degrees and 100 degrees
300
Let S be the point (-7,0) and T be the point (1,0). Find the distance between S and T.
What is 8 units
300
Give a counter example of the following statement. If an angle is obtuse, then it is 130 degrees.
What is any angle between 91 and 179 degrees (excluding 130)
300
If angle A is congruent to angle B then angle B is congruent to angle A by the ____________
What is the Symmetric property of congruence
400
Two angles that share a common vertex, one common side, and have no common interior points are __________
What are Adjacent Angles
400
Let Q be in the interior of angle POR. If the measure of angle POQ=s+4, the measure of angle QOR=2s-2 and the measure of angle POR=26, what is the value of s?
What is 8
400
Let D be the point (-1,1) and E be the point (3,4). Find the distance between D and E.
What is 5 units
400
If two angles are supplementary to the same angle or to congruent angles, then they are congruent.
What is the Congruent Supplements Theorem
400
If a=b then b can be substituted in for a in any expression or equation
What is the Substitution property
500
AB+BC=AC
What is the Segment Addition Postulate
500
If angle 1 and angle 2 are supplementary, then we can say the measure of angle 1 plus the measure of angle 2 equals 180 degrees by
What is the definition of supplementary angles
500
Point C is between point A and point D, and point B is between point A and point C. AD=20, BC=6 and segment AB is congruent to segment CD. Determine the distance from point C to point D
What is 7
500
Is this a biconditional statement? If two angles are vertical angles, then they are congruent? Provide a counter example
What is no, answers may vary.
500
If the measure of angle 1 plus the measure of angle 2 equals 180 degrees, and the measure of angle 3 plus the measure of angle 4 equals 180 degrees, then we say that the measure of angle 1 plus the measure of angle two equals the measure of angle 3 plus the measure of angle 4 by the_____________
What is the Transitive property of equality