Conditional Statements Goals Recognize a conditional statement Write

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Conditional Statements Goals • Recognize a conditional statement • Write the converse, inverse, and

Conditional Statements Goals • Recognize a conditional statement • Write the converse, inverse, and conditional statement

Recognizing Conditional Statements If-Then Statements If a number is divisible by both 2 and

Recognizing Conditional Statements If-Then Statements If a number is divisible by both 2 and 3 then it is divisible by 6. HYPOTHESIS CONCLUSION If a polygon has four sides then it is a quadrilateral. If a number greater than two is even, then it is not prime.

Recognizing Conditional Statements State the hypothesis and conclusion for each statement. IF two angles

Recognizing Conditional Statements State the hypothesis and conclusion for each statement. IF two angles are supplementary, THEN the sum of their angles is 180 degrees. IF you are 5 feet tall, THEN are also 60 inches tall.

Recognizing Conditional Statements Example 2 State the hypothesis and conclusion for each statement. IF

Recognizing Conditional Statements Example 2 State the hypothesis and conclusion for each statement. IF two angles are adjacent, THEN they have a common vertex.

Recognizing Conditional Statements The CONVERSE of a conditional statement is formed by interchanging the

Recognizing Conditional Statements The CONVERSE of a conditional statement is formed by interchanging the hypothesis and conclusion. conditional statement If x – y is positive then x > y. converse If x > y then x – y is positive.

Recognizing Conditional Statements 1. IF two angles are adjacent, THEN they have a common

Recognizing Conditional Statements 1. IF two angles are adjacent, THEN they have a common vertex. CONVERSE - IF two angles have a common vertex, THEN they are adjacent. 2. IF two angles are supplementary, THEN the sum of their angles is 180 degrees. CONVERSE - IF two angles have a sum of 180 degrees, THEN they are supplementary. 3. IF you are 5 feet tall, THEN are also 60 inches tall. CONVERSE - IF you are 60 inches tall, THEN are also 5 feet tall.