2.1 and 2.2
Find the next two numbers and state the rule describing each pattern.
1) 64, 32, 16, 8, 4...
2) 3, 4, 7, 11, 18...
3) 1, 4, 9, 16, 25...
1) 2, 1- Divide the previous number by two
2) 29, 47- Add the two previous numbers
3) 36, 49- Each number is the square of its position
State whether each statement is a disjunction or a conjunction and whether it is true or false
15) birds fly or fish swim
18) A tetrahedron has four faces or a heptahedron has nine sides.
What is
Disjunction, True
State the proper subsets of the real numbers to which each listed real number belongs
-3
What is Integers and Rational Numbers
42) Y is the midpoint of XZ
find a, YZ, and XZ
What is
a= 22
YZ = 65
XZ = 130
Supply each missing statement
1) <XYZ and <ZYW are adjacent angles 1. Given
2) _____________ 2) Angle Addition Postulate
What is
m<XYZ + m<ZYW = m<XYW
Make a conjecture describing each instance of completing the sentence.
4) The sum of two even numbers is...
5) The product of two negative numbers is...
What is...
4) even
5) positive
State whether each statement is a disjunction or a conjunction and whether it is true or false
16) Blue and orange are each primary colors of light
17) Every pyramid is a cone and every prism is a cylinder
What is
Conjunction, False
Conjunction, True
State the proper subsets of the real numbers to which each listed real number belongs
-2.89
What is rational numbers
Use the figure to find each value
43) x, m<GKJ, m<FKG
What is
x= 8
m<GKJ = 41
m<FKG = 139
Supply each missing statement
1. _____________ 1) Given
2) <R ≅ <S 2) All right angles are congruent
What is
<R and <S are right angles
State whether each sentence is a true statement, a false statement, or not a statement.
8) Every polygon is a quadrilateral.
9) Every triangle is a polygon.
10) 3x = 9x
What is...
8) False
9) True
10) Not a statement
Write each statement in if-then form, Then write an equivalent disjunction for the conditional.
20) Two parallel lines never intersect
What is
if two lines are parallel, then they do not intersect
Two lines are not parallel or they do not intersect
State the property illustrated by each statement
7 * 1 = 7
What is the Identity Property of Multiplication
44) x, m<PQS, m<SQR
What is
x= 10
m<PQS= 127
m<SQR = 53
Supply each missing statement
1) _______________ 1) Given
2) m<M + m<N = 180° 2) Definition of supplementary
What is
<M and <N are supplementary
Write each statement given p: "Three points are collinear."
~p
Ɐp
ꓱp
What is
Three points are noncollinear
All three points are collinear
There exist three points that are collinear
Write the converse, inverse, and contrapositive of the conditional statement. State whether it is true or false.
21) If two angles are adjacent angles, then they have a common side.
Converse- If two angles have a common side, then they are adjacent angles
Inverse- If two angles are not adjacent angles, then they do not have a common side
Contrapositive- If two angles do not have a common side, then they are not adjacent angles.
Only the contrapositive is true.
State the property illustrated by each statement
(3*5)*4 = 3*(5*4)
What is the Associative Property of Multiplication
If M is the midpoint of XY and XM = 39, find XY.
What is 78
Supply each missing statement
1) AB bisects CD at point P 1) Given
2) _______________ 2) definition of segment bisector
What is
P is the midpoint of CD
Negate Each statement:
Some sports are not fun
No students like math
All babies are beautiful
What is
All sports are fun
Some students like math
Some babies are not beautiful
Write the converse of each conditional and the related biconditional. State whether the original conditional, its converse, and the biconditional are true or false.
24) If three points are coplanar then they are collinear.
What is
Converse: If three points are collinear, then they are coplanar.
Biconditional: Three points are coplanar if and only if they are collinear.
Only the converse is true.
Name the definition, postulate, or property that justifies each statement
Which three properties must be true in any equivalence relation?
What is reflexive, symmetric, and transitive
If the midpoint, M, of XY has m = 17 and XM = 28, state the coordinates of X and Y.
What is -11 and 45
Supply the missing reasons to complete the proof
1) <4 ≅ <5
2) <1 ≅ 4; <5 ≅ <7
3) <1 ≅ <7
What is
1) Given
2) Vertical Angle Theorem
3) Transitive Property of Congruent Angles