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Geometry

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Laurine Lueilwitz

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Cards in this guide (23)
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.

In logical mathematics there are two examples I present first Roses are flowerssecond Red roses are flowers what do you cll the first and second statement

the first is "all statement" and the second is " existential statement"

True or False You can rely solely upon induction to prove that your conclusion is correct

False

What is the inverse statement of if you like carrots then you like vegetables

if i dont not like carrots then i do not like vegetables

If the statement If it is midnight then the sun is not shining is assumed to be true is its negation If it is not midnight then the sun is shining also always true

No, it is not.

What is a square that is not a quadrilateral

All squares are quadrilaterals.

All quadrilaterals are not squares.

There is no square that is not a quadrilateral.

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

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(?)

If a is not a subset of b and b is not a subst of a then find out the false statement from the following

a is intersection b and b is a subset

Organizing is best described as

Organizing is best described

Which of the following is the inverse of the statement If you do your homework then it will snow

If you do not do your homework then it will not snow.
If I do not do my homework, then it will not snow.

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.

What can you determine when you use deduction and start and start from a given set of rules and conditions

What must be true

Which term best describes a mathematical statement of the form shown below if athen b

A conditional statement.

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.

If the pattern below follows the rule Starting with five every consecutive line has a number that is four less than twice the previous line how many marbles must be in the sixth lineAsk us anything

20

True or false In deductive thinking you start with a given set of rules and conditions and determine what must be true as a consequenceAsk us anything

It is True!

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

The real answer is Bc . Hate these @

When you start from a given set of rules and conditions to determine what must be true what form of reasoning are you using reasoning

deductive reasoning

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

Figure B apex

In geometry you can use deductive rules

In geometry, deductive rules can be used to prove conjectures.

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