?Number Theory Consider this statement. If two numbers are negative, then their product

Write a conditional in which there are clouds in the sky is the hypothesis and it may rain is the conclusion.

Explain how to form the converse of a conditional.

Identify the hypothesis and the conclusion of each statement. If a figure is a quadrilateral, then it has four sides.

Identify the hypothesis and the conclusion of each statement. If a player misses three practices, he is off the team.

Write two other forms of each statement. You can vote if you are at least 18 years old.

Write two other forms of each statement. All students who fight in school will be suspended.

Write the converse of each statement. If it is raining, then the ground is wet.

Write the converse of each statement. If you cut class, you will be assigned a detention.

Biology Write the if-then form of this statement. All cats are mammals.

Identify the hypothesis and the conclusion of each statement. If the dog barks, it will wake the neighbors.

Identify the hypothesis and the conclusion of each statement. If a set of points has two endpoints, it is a line segment.

Identify the hypothesis and the conclusion of each statement. School will be cancelled if it snows more than six inches.

Identify the hypothesis and the conclusion of each statement. I will call my friend if I finish my homework.

Identify the hypothesis and the conclusion of each statement. All butterflies are arthropods.

Identify the hypothesis and the conclusion of each statement. All students should report to the gymnasium.

Write two other forms of each statement. If the probability of an event is close to 1, it is very likely to happen.

Write two other forms of each statement. If you eat fruits and vegetables, you will be healthy.

Write two other forms of each statement. Your teeth will be whiter if you use a certain brand of toothpaste.

Write two other forms of each statement. You’ll win the race if you run the fastest.

Write two other forms of each statement. All whole numbers are integers.

Write two other forms of each statement. All people over age 18 can serve in the armed forces.

Write the converse of each statement. If \(2x=20\), then \(x=10\). Equation Transcription: Text Transcription: 2x=20 x=10

Write the converse of each statement. If you play a musical instrument, you will do well in school.

Write the converse of each statement. The football team will play for the championship if it wins tonight.

Write the converse of each statement. You’ll play softball if it stops raining.

Write the converse of each statement. All even numbers have a factor of 2.

Write the converse of each statement. All lines extend without end in two directions.

Comics Write two conditional statements from the comic below in if-then form. THE MIDDLETONS

Advertising Find an advertisement in a magazine or newspaper that contains an if-then statement. Write the converse of the statement.

Number Theory Consider this statement. If two numbers are negative, then their product is positive. a. Write the converse of the statement. b. Determine whether the converse is true or false. If false, give a counterexample.

Critical Thinking The inverse of a conditional is formed by negating both the hypothesis and conclusion of the conditional. Conditional: If it is raining, then it is cloudy. Inverse: If it is not raining, then it is not cloudy. The contrapositive of a conditional is formed by negating both the hypothesis and conclusion of the converse of the conditional. Converse: If it is cloudy, then it is raining. Contrapositive: If it is not cloudy, then it is not raining. a. Write the inverse and contrapositive of this statement. If a figure has five sides, then it is a pentagon. b. Write a conditional. Then write its converse, inverse, and contrapositive.

Determine whether the following statement is true or false. If two planes intersect, then their intersection is a point. (Lesson 1–3)

Refer to the figure at the right. (Lesson 1–2) Name a ray.

Refer to the figure at the right. (Lesson 1–2) Name a segment.

Refer to the figure at the right. (Lesson 1–2) Name three collinear points.

Refer to the figure at the right. (Lesson 1–2) Name three noncollinear points.

Multiple Choice Find the next term of the sequence \(0,\ 3,\ 9,\ 18,\ \ldots \) (Lesson 1–1) A. \(21\) B. \(30\) C. \(54\) D. \(162\) Equation Transcription: Text Transcription: 0,3,9,18,... 21 30 54 162