Points, Lines, Planes, Segment Addition Postulate and Midpoints
Points on the same line are called ____________ points.
Collinear
Vertical angles are always ________________.
Congruent
Which is the symbolic notation for the converse of a conditional statement?
a. P --> Q
b. ~P --> ~Q
c. ~Q --> ~P
d. Q --> P
d. Q --> P
Which of the following symbolic notations represents the inverse of a conditional statement:
A. P --> Q
B. ~Q --> ~P
C. ~P --> ~Q
D. Q --> P
C. ~P --> ~Q
Which reason justifies the following statement:
"If AB = CD, then AB + XY = CD + XY
a. Subtraction Property
b. Substitution Property
c. Addition Property
d. Transitive Property
C. Addition Property
Two points that do not lie on the same plane would be referred to as ______________ points.
non-coplanar
1. Any 2 angles whose sum is 90 degrees are ___________ angles.
2. Any 2 angles whose sum is 180 degrees are ___________ angles.
1. Complementary
2. Supplementary
Which of the following symbolic notations represents p or the negation of q?
A. P ^ Q
B. P ^ ~Q
C. ~P v Q
D. P v ~Q
For a biconditional to be true, which 2 statements have to be true?
A. Conditional and Inverse
B. Conditional and Converse
C. Inverse and Converse
D. Conditional and Contrapositive
B. Conditional and Converse
Which reason justifies the following statement?
If AB = BC, then AB is congruent to BC
Definition of Congruence
Given point A (-2, 4) and point B (3, 5), what formula would I use to find the length of line segment AB?
Distance Formula
Two angles that are across from each other and formed by intersecting lines are what type of angles?
Vertical Angles
Which of the following compound statements is false
1. A circle has no sides and a pentagon has 5 sides
2. A circle has sides or a pentagon has 5 sides
3. A circle has no sides or a pentagon has 4 sides
4. A circle has sides and a pentagon has 5 sides
4. A circle has sides and a pentagon has 5 sides
Which law justifies the following conclusion:
Given: If Mark studies, then he will get an A.
Given: If Mark gets an A, then he will get $25.
Conclusion: If Mark studies, then he will get $25.
Law of Syllogism
What reason justifies the following statement:
If Angle 1 and Angle 2 form a linear pair, then Angle 1 and Angle 2 are supplementary.
A. Definiton of Supplementary Angles
B. Congruent Supplements Theorem
C. Linear Pair (Supplement) Theorem
D. Definition of Perpendicular
C. Linear Pair (Supplement) Theorem
6x + 1 + x + 7 = 36
If angle ABC and angle DBC are vertical angles and angle ABC = 3x + 23 and angle DBC = 7x - 37, what equation would I set up to solve for x?
3x + 23 = 7x - 37
What is the contrapositive of the following statement,
"If it is Saturday, then there is no school.
If there is school, then it is not Saturday.
What is the inverse of the following statement?
If I live in Cloverdale, then I live in Indiana.
If I do not live in Cloverdale, then I do not live in Indiana.
Which reason justifies the following statement
If Angle 1 + Angle 2 = Angle 4 and Angle 2 = Angle 3, then Angle 1 + Angle 3 = Angle 4
Substitution Property
If B is the midpoint of line AC, and AB = 9x-1 and BC=2X + 27, what would be the equation I would set up to solve for X.
9x - 1 = 2x + 27
If angles D and E are supplementary and Angle D = 7x+3 and Angle E = 16x-5, what equation would I set up to solve for x?
7x + 3 + 16x - 5 = 180
What would be a counterexample to the statement below:
Every single day has exactly 24 hours
A day when we move the clock up or back for daylight savings time
Is the following conclusion justified by the Law of Detachment, Law of Syllogism or is it invalid?
Given: If Mr. Williams buys a new golf club, then he will go golfing.
Given: Mr. Williams goes golfing
Conclusion: Mr. Williams bought a new golf club
Invalid
What reason justifies the following statement:
If WX = XY and XY = YZ, then WX = YZ
Transitive Property