Points, Lines, and Planes
Algebra Proofs
Segment Proofs
Angle Proofs
Conditional Statements
Definitions/Properties/
Postulates/Theorems
Postulates/Theorems
100
Always, Sometimes, or Never True:
If segment AB ≅ segment BC, then AB = BC.
Always
100
The first reason for ANY proof is this ____.
Given
100
Give an example of the segment addition postulate, with a drawing. (Use the points A, B, and C).
AB + BC = AC
100
If ∠A and ∠B are a linear pair and m∠A = 112°, what is m∠B in degrees?
m∠B = 68°
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
Always, Sometimes, or Never True:
Plane ABC contains non-collinear points A, B, and C.
Always
200
Give an example of the subtraction property of equality.
x + 8 = 58
x = 50
200
Give an example of Reflexive Property (with segments).
AB = AB
200
The following is an example of the ______ property.
m<1 = 150 degrees.
m<1 + m<2 = 180 degrees
150 + m<2 = 180 degrees
Substitution
200
What is the hypothesis of the statement...
If the students study, then they will get a good grade on the next test.
the students study
200
What vocab word means points on the same line?
Collinear
300
Always, Sometimes, or Never True:
Points A, B, and C are coplanar.
Sometimes
300
Fill in the missing reason.
Simplify
300
If WX≅XY and XY≅YZ , which property shows WX≅YZ.
Transitive Property
300
This would be an example of the which property?
If /_A+/_B=180° and /_B+/_C=180°
then
/_A=/_C
Transitive
300
What is the inverse of the statement...
If you live in Emporia, then you live in Kansas.
If you do not live in Emporia, then you do not live in Kansas.
300
Which property shows that if AB≅CD, then CD ≅AB?
Symmetric Property
400
Always, Sometimes, or Never True:
Segment XM is longer than Line XM.
Never
400
What is the last reason for the following algebra proof?
Division property of equality
400
What would be the last reason in the following proof?
Definition of congruence segments
400
Angle G and angle H are supplementary and
∠G ≅ ∠K. If m∠G = (16x − 7)° and
m∠H = (21x + 2)°, what is m∠K in degrees?
m∠K = 73°
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
Given: PS ≅ HG
If PS = 3/4x in. and HG = 0.6 in., what is the value of x?
x = 0.8
500
Always, Sometimes, or Never True:
If AB + BC = AC, then BC > AC.
Never
500
Give an example of distributive property.
2(x+4) = 10
2x + 8 = 10
500
Point Y lies on XZ. If XZ = 52 cm and XY = 2x-8 cm., for what value of x is XY≅YZ?
x=17
500
See picture.
m∠AXB = 80°
500
The statement/phrase that you use in a biconditional statement.
If and only if
500
Which property shows that m<ABC=m<ABC?
Reflexive Property