Question

name: class: topic: date: main ideas/questions notes conditional statement a statement that can be written in if - then form. symbolic form: (p
ightarrow q) read as “if p, then q” or, “p q”. the is the phrase immediately following the word the is the phrase immediately following the word examples identify the hypothesis and conclusion of the following conditional statements: 1. if you live in nashville, then you live in tennessee. hypothesis: conclusion: 2. if the sum of the measures of two angles is 90°, then they are complementary angles. hypothesis: conclusion: 3. if a quadrilateral is a square, then it has four right angles. hypothesis: conclusion: writing conditional statements write the following statements in if - then form. an obtuse angle has a measure greater than 90°. if an angle is obtuse, then its measure is greater than 90°. all numbers divisible by 4 are also divisible by 2. if all numbers are divisible by 4 then they are divisible by 2. states on the east coast border the atlantic ocean. if states are on the east coast then they border the atlantic ocean. valentines day is in february. if its valentines day then its february.

Explanation:

A conditional statement is of the form "if p, then q" where p is the hypothesis (the part following "if") and q is the conclusion (the part following "then"). For the given statements, we identify the hypothesis and conclusion based on this structure.

1. In "If you live in Nashville, then you live in Tennessee", the part after "if" is the hypothesis and the part after "then" is the conclusion.
2. For "If the sum of the measures of two angles is 90°, then they are complementary angles", we follow the same logic to identify hypothesis and conclusion.
3. In "If a quadrilateral is a square, then it has four right - angles", we use the "if - then" structure to determine the parts.

For rewriting statements in if - then form, we identify the condition (the part that becomes the "if" part) and the result (the part that becomes the "then" part).

Answer:

1. Hypothesis: You live in Nashville

Conclusion: You live in Tennessee

1. Hypothesis: The sum of the measures of two angles is 90°

Conclusion: They are complementary angles

1. Hypothesis: A quadrilateral is a square

Conclusion: It has four right angles
If - then form:

1. If a number is divisible by 4, then it is divisible by 2.
2. If a state is on the east coast, then it borders the Atlantic Ocean.
3. If it is Valentine's Day, then it is in February.