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Given the following statements, what can you deduce? Every shop in town is closed. Every successful shop in town is an auto repair shop. Pavan's Auto Repair is a shop in town.

Given the following statements, what can you deduce? All new computers are fast. All cheetahs are fast. All cheetahs are mammals. Don is a cheetah with a new computer.

Given the following statements, what can you deduce? Everyone who lives on third street has a car. Everyone who owns a pet lives on third street. Susan owns a pet.

Given the following statements, what can you deduce? All squares are rhombuses. All rhombuses are parallelograms. All parallelograms are quadrilaterals. All quadrilaterals are polygons. Figure Q is a parallelogram.

Given the following statements, what can you deduce? If the stock market crashes, Tony's family will lose a lot of money. If a criminal robs the bank, Tony's family will lost a lot of money. Tony's family lost a lost of money.

>From which of the following groups of statements can the following be deduced? Jerry is a pilot.

Which of the following deductions is faulty?

Which of the following is a statement?

Which of the following is not a statement?

How is statement
*a*
related to statement
*p*
?
*a*
: The ground is wet.
*p*
: The ground is not wet.

How is statement
*a*
related to statement
*p*
?
*a*
: If it snows, Frank will go on a ski vacation.
*p*
: If it does not snow, Frank will not go on a ski vacation.

How is statement
*a*
related to statement
*d*
?
*a*
: If Tony leaves, Ken will leave.
*d*
: If Ken
does not leave, Tony will not leave.

Which of the following is the conjunction of statements
*p*
and
*q*
?
*p*
: The grass is
green.
*q*
:
The flowers are blooming.

Which of the following statements is the implication of statements
*p*
and
*q*
, with
*p*
as the hypothesis and
*q*
as the conclusion?
*p*
: The book is published.
*q*
: The public will get angry.

Which of the following statements is the disjunction of statements
*p*
and
*q*
?
*p*
: The blade is sharp.
*q*
: The material is strong.

How is statement
*a*
related to statements
*p*
and
*q*
?
*a*
: The moon is bright and the star is dim.
*p*
: The moon is bright.
*q*
: The star is dim.

Given:
*p*
is true,
*q*
is true, and
*r*
is false. Which of the following statements has the same truth value as this statement:
(*p*âá’*q*)âàè*r*
.

Given:
*j*
is true,
*k*
is false, and
*l*
is false. Which of the following statements has the same truth value as this statement:
(*j*âá’âàü*k*)âàçâàü*l*
.

Given:
*s*
is false,
*t*
is false,
*u*
is false, and
*v*
is true. Which of the
following statements has
the same truth value as this statement:
(*s*âàè*v*)âàç(*v*âá’*u*)
.

Given:
*a*
is true,
*b*
is false, and
*c*
is true. Which of the following statements has the same truth value as this statement:
(*a*âá’*b*)âá’*c*
.

Given:
(*p*âàç*q*)
is true. Which of the following is also true?

If the conditional statement
(*p*âá’*q*)
is true, which of the following is
always true?

If statements
*p*
and
*q*
are true, which of the following is also true?

What must be true of an implication that is true?

Given:
*p*
,
*q*
, and
âàü*s*
are all true. Which of the following is also true?

Given: the statement,
(*p*âá’*q*)âàè*q*
, is true. Which of the following always has a truth value of False?

The following are all examples of what? The reflexive property, the addition axiom, and the transitive property.

Which property tells us that a segment is congruent to itself?

Which property tells us that if two angles are congruent to a third angle, then they are congruent to each other?

Which property tells us that the union of supplementary angles is a straight angle?

If triangle ABC is congruent to triangle DEF, for what reason is segment BC congruent to segment EF?

What happens when a contradiction occurs?

If a median is drawn in a triangle, what can you deduce about the side to which the median is drawn?

What postulate allows for a perpendicular bisector to be drawn into a figure?

Below is a direct proof with some reasons missing. What is the reason for statement 5?

Given:

Segment AC is congruent to segment AE.Prove:

Segment AD is perpendicular to segment BF.

Angle 1 is congruent to angle 2.

Triangle ACF is congruent to triangle AEB.

Below is a direct proof with some reasons missing. What three numbers go in the parentheses in the reason for statement 7?

Given:

Segment AC is congruent to segment AE.Prove:

Segment AD is perpendicular to segment BF.

Angle 1 is congruent to angle 2.

Triangle ACF is congruent to triangle AEB.

Below is a direct proof with some reasons missing. What is the correct reason for statement 8?

Given:

Segment AC is congruent to segment AE.

Segment AD is perpendicular to segment BF.

Angle 1 is congruent to angle 2.

Prove:

Triangle ACF is congruent to triangle AEB.

Below is a direct proof with some reasons missing. What is the correct reason for statement 11?

Given:

Segment AD is perpendicular to segment BF.

Angle 1 is congruent to angle 2.

Prove:

Triangle ACF is congruent to triangle AEB.

Below is a direct proof with some reasons missing. What is the correct reason for statements 12 and 13?

Given:

Segment AD is perpendicular to segment BF.

Angle 1 is congruent to angle 2.

Prove:

Triangle ACF is congruent to triangle AEB.

In the following direct proof, some reasons are missing. What is the correct reason for statement 2?

Given:

Triangle ABC is isosceles with vertex angle A.Prove:

Angle BDC is congruent to angle CEB.

Segment CD is a median

Segment BE is a median.

Triangle BFC is isosceles.

In the following direct proof, some reasons are missing. What is the correct reason for statement 7?

Given:

Triangle ABC is isosceles with vertex angle A.Prove:

Angle BDC is congruent to angle CEB.

Segment CD is a median.

Segment BE is a median.

Triangle BFC is isosceles.

In the following direct proof, some reasons are missing. What is the correct reason for statement 9?

Given:

Triangle ABC is isosceles with vertex angle A.Prove:

Angle BDC is congruent to angle CEB.

Segment CD is a median.

Segment BE is a median.

Triangle BFC is isosceles.

In the following direct proof, some reasons are missing. What is the correct reason for statement 13?

Given:

Triangle ABC is isosceles with vertex angle A.Prove:

Angle BDC is congruent to angle CEB.

Segment CD is a median.

Segment BE is a median.

Triangle BFC is isosceles.

In the following direct proof, some reasons are missing. What is the correct reason for statement 14?

Given:

Triangle ABC is isosceles with vertex angle A.Prove:

Angle BDC is congruent to angle CEB.

Segment CD is a median

Segment BE is a median.

Triangle BFC is isosceles.