Logic Laws and Valid Conclusions ~ Monarch Morning

Given statements:

If a shape is a rectangle, then diagonals are congruent.

A square is a rectangle.

Which is a logical conclusion from the given statements.

• The diagonals of a square bisect each other.

• A square has diagonals that are congruent.

• A square has opposite angles that are congruent.

• A square is a quadrilateral

Tags

CCSS.HSG.CO.C.11

Which is a valid conclusion that can be drawn from these statements?

If a quadrilateral is a rhombus, then it is a parallelogram.

If a quadrilateral is a parallelogram, then its opposite sides are congruent.

• Every quadrilateral is a rhombus

• Every parallelogram is a rhombus

• Opposite sides of a rhombus are congruent

• Opposite sides of a quadrilateral are congruent

Tags

CCSS.HSG.CO.C.11

Assuming these statements are true,

Some musicians are happy people.

All happy people like music.

which of the following is a valid conclusion?

• Some musicians like music

• Some happy people do not like music

• All happy people are musicians

• All musicians like music

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

Which set of statements represents an invalid argument?

• If we pass Geometry, then we will play sports.

  If we play sports, then we will get a trophy.

  If we do not get a trophy, then we did not pass Geometry.

• If I work, then I will make money.

  If I make money, then I will buy clothes.

  If I work, then I will buy clothes.

• If Mark goes camping, then he will go fishing.

  If Mark goes fishing, then he will buy bait.

  If Mark does not buy bait, then he will go camping.

• If it is your birthday, then you will get ice cream.

  If you get ice cream, then you will get cake.

  If it is your birthday, then you will get cake.

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.11-12.1