Is it possible for two skew lines to be perpendicular
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Definition1/19
perpendicular lines are lines that MEET at right angles (90
degrees). Skew lines are lines that dont meet at all. Even though
the gradients of two skew lines can multiply to be -1 (a property
of perpendicular lines) They will not really be perpendicular as
they don't accually meet. This can occur when the lines are in
different planes.
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Term1/19
What undefined geometry term has one dimension
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Definition1/19
A point.
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Term1/19
Do the angles that form a linear pair have to be adjacent
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Definition1/19
The measures of two adjacent interior angles sum to 180 because they form a linear pair.
B. False
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Term1/19
What is the measure of RVE
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Definition1/19
45
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Term1/19
True or false In the body of an indirect proof you must show that the assumption leads to a contradiction
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Definition1/19
True It is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
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Term1/19
What is the converse of the contrapositive of a statement
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Definition1/19
Look at the statement If 9 is an odd number, then 9 is divisible
by 2. The first part is true and second part is false so logically
the statement is false. The contrapositive is: If 9 is not
divisible by 2, then 9 is not an odd number. The first part is
true, the second part is false so the statement is true. Now the
converse of the contrapositive If 9 is not an odd number, then 9 is
not divisible by two. The first part is false and the second part
is true so it is false. The original statement is if p then q,the
contrapositive is if not q then not p and the converse of that is
if not p then not q
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Term1/19
A of a segment is the point that divides the segment into two congruent segments
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Definition1/19
A midpoint is a point that divides a segment into two congruent
segments. A angle bisector is a ray that divides an angle into two
congruent angles.
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Term1/19
Which of the following is the converse of the statement If it your birthday then it is September
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Definition1/19
if its September its your birthday
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Term1/19
If you took an if then statement inserted a not in each clause and reversed the clauses the new statement would also be true
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Definition1/19
true
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Term1/19
Angle formed by supplementary and complementary angles
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Definition1/19
Supplementary angles forms a 180o angle (or a straight line).
Complementary angles form a 90o angle.
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Term1/19
Quadrilateral ABCD is a parallelogram in which angle A equals 40 degrees Which two angles below are complementary
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Definition1/19
A and B, B and C, C and D, D and A, are all supplementary
pairs.
The figure has no complementary pairs of angles.
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Term1/19
What is the inverse of this statement
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Definition1/19
What isn't the inverse of this statement(?)
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Term1/19
Which of the following expressions will produce an answer with three significant figures. Check all that apply. A 2102dividedby23.7 B 22.67 13.6 C 20-40.8 D 100x3.4
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Definition1/19
A, B and C
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Term1/19
True of false in a two-column proof the left column states your reasons
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Definition1/19
In a two-column proof, it is true that the left column states
your reasons.
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Term1/19
What is A logical argument that is presented in graphical form using boxes and arrows is called a
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Definition1/19
A. Flowchart proof
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Term1/19
Why can't a quadrilateral have four obtuse angles
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Definition1/19
The sum of the 4 internal angles of a quadrilateral must sum to
360° (go look up the proof of this elsewhere).
For the sake of argument, let's call the 4 internal angles of a
quadrilateral A, B, C, and D.
If they were all obtuse, then (by definition):
180° > A > 90°
180° > B > 90°
180° > C > 90°
180° > D > 90°
If you add them all up, you find that for the sum of the angles
A+B+C+D
720° > A + B + C + D > 360°
but, A+B+C+D = 360°,
Since the assumption produces a result that contradicts this,
the assumption cannot be true.
Q.E.D.
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Term1/19
True or false A corollary is a statement that can be easily proved using a theorem.
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Definition1/19
FALSE
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Term1/19
If point C is between points A and B then AC plus CB .
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Definition1/19
The real answer is Bc . Hate these @
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Term1/19
Choose the true biconditional statement that can be formed from the conditional statement If a natural number n is odd then n2 is odd and its converse.
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Definition1/19
An integer n is odd if and only if n^2 is odd.
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Cards in this guide (19)
Is it possible for two skew lines to be perpendicular
perpendicular lines are lines that MEET at right angles (90
degrees). Skew lines are lines that dont meet at all. Even though
the gradients of two skew lines can multiply to be -1 (a property
of perpendicular lines) They will not really be perpendicular as
they don't accually meet. This can occur when the lines are in
different planes.
What undefined geometry term has one dimension
A point.
Do the angles that form a linear pair have to be adjacent
The measures of two adjacent interior angles sum to 180 because they form a linear pair.
B. False
What is the measure of RVE
45
True or false In the body of an indirect proof you must show that the assumption leads to a contradiction
True It is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
What is the converse of the contrapositive of a statement
Look at the statement If 9 is an odd number, then 9 is divisible
by 2. The first part is true and second part is false so logically
the statement is false. The contrapositive is: If 9 is not
divisible by 2, then 9 is not an odd number. The first part is
true, the second part is false so the statement is true. Now the
converse of the contrapositive If 9 is not an odd number, then 9 is
not divisible by two. The first part is false and the second part
is true so it is false. The original statement is if p then q,the
contrapositive is if not q then not p and the converse of that is
if not p then not q
A of a segment is the point that divides the segment into two congruent segments
A midpoint is a point that divides a segment into two congruent
segments. A angle bisector is a ray that divides an angle into two
congruent angles.
Which of the following is the converse of the statement If it your birthday then it is September
if its September its your birthday
If you took an if then statement inserted a not in each clause and reversed the clauses the new statement would also be true
true
Angle formed by supplementary and complementary angles
Supplementary angles forms a 180o angle (or a straight line).
Complementary angles form a 90o angle.
Quadrilateral ABCD is a parallelogram in which angle A equals 40 degrees Which two angles below are complementary
A and B, B and C, C and D, D and A, are all supplementary
pairs.
The figure has no complementary pairs of angles.
What is the inverse of this statement
What isn't the inverse of this statement(?)
Which of the following expressions will produce an answer with three significant figures. Check all that apply. A 2102dividedby23.7 B 22.67 13.6 C 20-40.8 D 100x3.4
A, B and C
True of false in a two-column proof the left column states your reasons
In a two-column proof, it is true that the left column states
your reasons.
What is A logical argument that is presented in graphical form using boxes and arrows is called a
A. Flowchart proof
Why can't a quadrilateral have four obtuse angles
The sum of the 4 internal angles of a quadrilateral must sum to
360° (go look up the proof of this elsewhere).
For the sake of argument, let's call the 4 internal angles of a
quadrilateral A, B, C, and D.
If they were all obtuse, then (by definition):
180° > A > 90°
180° > B > 90°
180° > C > 90°
180° > D > 90°
If you add them all up, you find that for the sum of the angles
A+B+C+D
720° > A + B + C + D > 360°
but, A+B+C+D = 360°,
Since the assumption produces a result that contradicts this,
the assumption cannot be true.
Q.E.D.
True or false A corollary is a statement that can be easily proved using a theorem.
FALSE
If point C is between points A and B then AC plus CB .
The real answer is Bc . Hate these @
Choose the true biconditional statement that can be formed from the conditional statement If a natural number n is odd then n2 is odd and its converse.