Geometry Unit 2 Logic

Which of these is an example of deductive reasoning?

• Bill is a Dalmation. All Dalmatians have spots. Therefore, Bill has spots.

• All roses are plants. All roses have thorns. Therefore, all plants have thorns.

• All of Mary's sisters have brown eyes. Linda has brown eyes. Therefore, Linda is Mary's sister.

• Oak trees have leaves. Maple trees have leaves. Birch trees have leaves. Therefore, all trees have leaves.

If n+2 is divisible by 2, then which statement is ALWAYS true?

• n is an odd number

• n is an even number

• n is a prime number

• n is equal to n+1

What are the next two numbers in the sequence 12, 14, 18, 26, 42, ?, ?

• 64, 128

• 64, 138

• 74, 128

• 74, 138

In the last question with the sequence, what kind of reasoning did you use?

• Deductive

• Inductive

Mary, Dan, Jane and Lucy walked into a shop at four different times. If Mary went into the shop before Lucy, Jane was the first person after Dan, and Mary was not the first person in the shop, who was the first person to walk into the shop?

• Dan

• Lucy

• Jane

• Mary

How many students play basketball or soccer?

• 6

• 13

• 28

• 34

How many students play basketball and soccer?

• 6

• 13

• 28

• 34

What is the inverse of: If the radii of two circles are equal, then the circles are congruent.

• If the radii of two circles are equal, then the circles are not congruent

• If two circles are not congruent, then their radii are unequal

• If two circles are congruent then the radii of the circles are equal

• If the radii of two circles are unequal, then the circles are not congruent

What is the converse of: If a polygon is a square, then it is a quadrilateral

• If a quadrilateral is a square, then it is a polygon

• if a polygon is a quadrilateral, then it is a square

• If a polygon is not a quadrilateral, then it is not a square

• If a polygon is not a square, then it is not a quadrilateral

If a quadrilateral does not have 4 congruent sides, then it is not a rhombus.

Which of these statements is the conditional statement that corresponds to the inverse statement above?

• If a quadrilateral has four congruent sides, then it is a rhombus

• If a quadrilateral is a rhombus, then it has four congruent sides

• If a quadrilateral has four congruent sides then it is not a rhombus

• If a quadrilateral does not have four congruent sides then it is a rhombus