Download Mathkaball Ch 1 and 2 Review

Mathkaball
Proofs
Compound
Statements
Segments
Angles
Conditional
Statements
1
1
1
1
1
2
2
2
2
2
3
3
3
3
3
4
4
4
4
4
Segments 1 point
Segments 2 points
Segments 3 points
R is between Q and S.
QR = 2x – 5
RS = x + 7
QS = 29
What is the value of x?
Segments 4 points
R is between Q and S.
QR = 2x – 5
RS = x + 7
QS = 29
What is the length of QR and RS?
Angles 1 point
Classify each angle.
Angles 2 points
Find the measure of angle QRS.
Angles 3 points
Angle ABD is 107 degrees. Find the value of x.
Angles 4 points
Is ray BC the angle bisector of angle ABD?
ABD = 107 degrees
Conditional Statements 1
Tell me the hypothesis and conclusion of the
conditional statement:
“If a bird is black, then
the bird is a crow.”
Conditional Statements 2
Write the converse of the conditional statement:
“If a bird is black, then
the bird is a crow.”
Conditional Statements 3
Is this conditional statement true or false? If
false find one counterexample.
“If a bird is black, then
the bird is a crow.”
Conditional Statements 4
Write the contrapositive of the conditional
statement:
“If a bird is black, then
the bird is a crow.”
Proofs 1
Every two column proof begins with the
____________ and ends with the _________
Proofs 2
Draw a diagram for the following given
information. Find the measure of ∠CBD.
Given : m∠ABC = 45 degrees and ∠ABC and CBD
form a linear pair.
Proofs 3
Fill in the missing statements and reasons in the
given two column proof.
Given: ∠EFG = 90 degrees and ∠XYZ = 90
degrees
Prove: ∠EFG and ∠XYZ are congruent
Statements
Reasons
1-
Given
2-
Substitution
3 - ∠EFG ≅ ∠XYZ
Proofs 4
Transfer the following two column proof
into a flow chart proof.
Statements
Reasons
1 - ∠EFG = 90 degrees and ∠XYZ =
90 degrees
Given
2 - ∠EFG = ∠XYZ
Substitution
3 - ∠EFG ≅ ∠XYZ
Definition of congruent angles
Compound Statements 1
Make a conjunction from the
two statements below.
1 – Geometry is fun
2 – Geometry is easy
Compound Statements 2
How many rows would a truth table have given
that there were 5 different statements?
Compound Statements 3
p: Irmo’s school colors are black and gold.
q: Mr. Riegel is Irmo’s principal
Write the disjunction of statements p,q.
Is this true or false? If false, provide a counter
example.
Compound Statements 4
Use these statements to complete the truth
table.
p: Irmo’s school colors are black and gold.
q: Mr. Riegel is Irmo’s principal
r: everybody owns an iPhone 4
p
q
~q
r
pVr
~q ^ r