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Term1/19
Is it possible for two skew lines to be perpendicular
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.

Term1/19
Do the angles that form a linear pair have to be adjacent
Definition1/19

The measures of two adjacent interior angles sum to 180 because they form a linear pair.

B. False

Term1/19
Which of the following is the converse of the statement If it your birthday then it is September
Definition1/19

if its September its your birthday

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
Definition1/19

true

Term1/19
Angle formed by supplementary and complementary angles
Definition1/19

Supplementary angles forms a 180o angle (or a straight line). Complementary angles form a 90o angle.

Term1/19
Quadrilateral ABCD is a parallelogram in which angle A equals 40 degrees Which two angles below are complementary
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.

Term1/19
Is it true that if you took an if-then statement inserted a not in each clause and reversed the clauses the new statement would also be true
Definition1/19

If the conditional (if, then) is true, then the contrapositive (reversed; if not, then not) will be also true. And vice versa, if the conditional is false, its contrapositive will be also false. for example,

If a graph passes the vertical line test, then it is a graph of a function. (True)

If a graph is not a graph of a function, then it will not pass the vertical line test. (True)
Yes, but only if the original if-then was true.

Term1/19
What is the converse of the statement if it is summer then its warm outside
Definition1/19

The converse of the statement "If it is summer, then it is warm outside' would be if it is warm outside then it is summer.

Term1/19
What is the inverse of this statement
Definition1/19

What isn't the inverse of this statement(?)

Term1/19
How does biconditional statement different from a conditional statement
Definition1/19

a condtional statement may be true or false but only in one direction

a biconditional statement is true in both directions

Term1/19
Which of the following is the inverse of the statement 'if like math then i like science
Definition1/19

If I do not like Math then I do not like Science.

Term1/19
Why can't a quadrilateral have four obtuse angles
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.

Term1/19
The second statement is the what of the first.
Definition1/19

Inverse (Tested)

Term1/19
Choose the true biconditional statement that can be formed from the conditional statement If the area of a square is 25 square meters then the side length of the square is 5 meters and its converse.
Definition1/19

The area of a square is 25 square meters if and only if the side length of the square is 5 meters

Term1/19
True or false If you took a true if-then statement and reversed the clauses the new statement would also be true.
Definition1/19

The answer is false

Term1/19
True or false if you took a true if then statement inserted a not in each clase and reversed the clauses the new staement would also be true
Definition1/19

True. In that case, each of the statements is said to be the contrapositive of the other.

Term1/19
If point C is between points A and B then AC plus CB .
Definition1/19

The real answer is Bc . Hate these @

Term1/19
Which of the diagrams below represents the statement If it is a square then it is a quadrilateral
Definition1/19

Figure B

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.
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.

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

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.

Is it true that if you took an if-then statement inserted a not in each clause and reversed the clauses the new statement would also be true

If the conditional (if, then) is true, then the contrapositive (reversed; if not, then not) will be also true. And vice versa, if the conditional is false, its contrapositive will be also false. for example,

If a graph passes the vertical line test, then it is a graph of a function. (True)

If a graph is not a graph of a function, then it will not pass the vertical line test. (True)
Yes, but only if the original if-then was true.

What is the converse of the statement if it is summer then its warm outside

The converse of the statement "If it is summer, then it is warm outside' would be if it is warm outside then it is summer.

What is the inverse of this statement

What isn't the inverse of this statement(?)

How does biconditional statement different from a conditional statement

a condtional statement may be true or false but only in one direction

a biconditional statement is true in both directions

Which of the following is the inverse of the statement 'if like math then i like science

If I do not like Math then I do not like Science.

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.

The second statement is the what of the first.

Inverse (Tested)

Choose the true biconditional statement that can be formed from the conditional statement If the area of a square is 25 square meters then the side length of the square is 5 meters and its converse.

The area of a square is 25 square meters if and only if the side length of the square is 5 meters

True or false If you took a true if-then statement and reversed the clauses the new statement would also be true.

The answer is false

True or false if you took a true if then statement inserted a not in each clase and reversed the clauses the new staement would also be true

True. In that case, each of the statements is said to be the contrapositive of the other.

If point C is between points A and B then AC plus CB .

The real answer is Bc . Hate these @

Which of the diagrams below represents the statement If it is a square then it is a quadrilateral

Figure B

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.

An integer n is odd if and only if n^2 is odd.

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