Mixed Bag
Algebra Proofs
Segment Proofs
Angle Proofs
Conditional Statements
Definitions
100
This is what collinear means.
What is points on the same line?
100
The first reason on any algebra proof is this ____.
Given
100
Point a is in between point C and point B. Point C and point B are collinear. Therefore CA + AB = AC. This is an example of which postulate?
What is segment addition postulate
100
The following is an example of the ______ property.
m<1 = 150 degrees.
m<1 + m<2 = 180 degrees
150 + m<2 = 180 degrees
What is substitution?
100
Write the statement as a conditional statement (IF/THEN)
All students love geometry
If you are a student, then you love geometry
100
Supplementary Angles add to _______°
180°
200
Two lines intersect in one __________
Point
200
Give an example of the subtraction property.
x + 8 = 58
x = 50
200
Give an example of the segment addition postulate, with a drawing. (Use the points A, B, and C).
AB + BC = AC
200
Explain how the angle bisector theorem is different then the angle addition postulate.
With the angle bisector theorem the angle is split into two equal pieces.
200
What is the hypothesis of the statement...
If the students study, then they will get a good grade on the next test.
If the students study.
200
The point that divides a segment into two congruent segments.
Midpoint
300
A 98 degree angle can be classified as this type of angle.
What is obtuse?
300
This would be an example of the which property?
If /_A+/_B=180° and /_B+/_C=180°
then
/_A=/_C
Transitive
300
True/False. Definition of congruence is only used with segment proofs.
False.
300
Give an example of a property that is used just with angles.
Angle Addition Postulate
Angle Bisector
Supplementary Angles
Complementary Angles
300
What is the conclusion in the statement...
If you live in Saint Joseph, then you live in Missouri
You live in Missouri
300
A pair of opposite angles made by two intersecting lines that are congruent.
Vertical angles
400
What is the midpoint formula?
(x1 + x2)/(2),(y1 + y2)/(2)
400
What is the last reason for the following algebra proof?
What is the division property of equality?
400
This reason justifies statement 2 in the following proof.
What is the definition of midpoint?
400
Which theorem tells us that
If
/_1 and /_2 are supplements
and /_2 and /_3
are supplements.
Then
/_1 cong/_3
Congruent supplements theorem
400
What is the contrapositive of the following statement
If the number is prime, then it is odd
If the number is not odd (even), then the number is not prime.
400
Two angles that are next to one another, have a common side, a common vertex, and don't overlap.
Adjacent Angles
500
Find the distance between these two points:
(-7,-4) and (-11,-8)
sqrt(32) or 5.7
500
What is a logical 2nd statement (assuming the first is a given):
x + y = w + v
500
What would be the last reason in the following proof?
Definition of segment congruence
500
Give statement #6
What is m<1 + m<5 = 180?
500
The statement that you use to connect a conditional with its converse to make a biconditional.
If and only if
500
A statement that needs to be proven before we can use it.
We prove these with definitions, postulates, and properties.
Theorems