Logic Statements

Logic Statements

9th - 12th Grade

13 Qs

quiz-placeholder

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Logic Statements

Logic Statements

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

G.4B

Standards-aligned

Created by

Diana Guerrero

Used 12+ times

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13 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

(Basic)

Rewrite the conditional statement in if-then form.

When a glacier melts, the sea level rises

If ​ (a)   , then ​ (b)   .

a glacier melts

the sea level rises

a glacier doesn't melt

the sea level doesn't rise

Answer explanation

The question asks to rewrite the statement 'When a glacier melts, the sea level rises' in if-then form. The correct way to do this is 'If a glacier melts, then the sea level rises'. This is because the conditional statement 'If a glacier melts' is the cause, and 'the sea level rises' is the effect or result.

Tags

G.4B

2.

DROPDOWN QUESTION

1 min • 1 pt

(Intermediate)

Rewrite the conditional statement in if-then form.

Two right angles are supplementary angles.

If ​ (a)   , then ​ (b)   .

two angles are right angles

the angles are supplementary

two angles are not supplementary

the angles are not right angles

Answer explanation

The statement 'Two right angles are supplementary angles' means that if two angles are right angles, then they are supplementary. This is because a right angle measures 90 degrees and when two right angles are added together, it equals 180 degrees which is the definition of supplementary angles.

Tags

G.4B

3.

DROPDOWN QUESTION

1 min • 1 pt

two angles are complementary

the angles' measures sum to 90 degrees

the angles' measures do not sum to 90 degrees

two angles are not complementary

Answer explanation

The given question asks to rewrite the conditional statement about complementary angles. Complementary angles are two angles that add up to 90 degrees. So, the correct if-then form would be, 'If two angles are complementary, then the angles' measures sum to 90 degrees'.

Tags

G.4B

4.

DROPDOWN QUESTION

1 min • 1 pt

(Basic)

Write the negation of the statement.

p: The ball is not pink.

~p: ​ (a)  

The ball is pink

The ball is not pink

If it is pink, then it is a ball

If it is a ball, then it is pink

Answer explanation

The question asks for the negation of the statement 'The ball is not pink.' The negation of a statement is the opposite of that statement. In this case, the opposite of 'The ball is not pink' is 'The ball is pink.' Thus, the correct option is 'The ball is pink.'

Tags

G.4B

5.

DROPDOWN QUESTION

1 min • 1 pt

(Intermediate)

Write the negation of the statement.

p: The dog is not a Labrador Retriever.

~p: ​ (a)  

The dog is a Labrador Retriever

The dog is not a Labrador Retriever

The dog is a Golden Retriever

The cat is a tabby

Answer explanation

The statement p is 'The dog is not a Labrador Retriever'. The negation of this statement would be the opposite of it. Among the options, 'The dog is a Labrador Retriever' is the opposite and hence is the correct choice. The other options do not negate the original statement properly.

Tags

G.4B

6.

MATCH QUESTION

1 min • 1 pt

Contrapositive

Conditional

Converse

Inverse

Tags

G.4B

7.

MATCH QUESTION

1 min • 1 pt

Conditional

If it is not February, then it is not Valentine's Day.

Inverse

If it is not Valentine's Day , then it is not February.

Converse

If it is Valentine's Day , then it is February.

Contrapositive

If it is February, then it is Valentine's Day.

Tags

G.4B

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