Identify the hypothesis of the statement “If an angle has a measure less than 90°, then the angle is acute.”

an angle has a measure less than 90°

If an angle has a measure less than 90°

Identify the conclusion of the statement “If an angle has a measure less than 90°, then the angle is acute.”

If an angle has a measure less than 90°

an angle has a measure less than 90°

What is the inverse of the conditional statement “If the sum of two whole numbers is even, then both addends are even.”?

If the sum of two whole numbers is not even, then both addends are not even.

If the sum of two whole numbers is even, then both addends are even.

If both addends are even, then the sum of two whole numbers is even.

If both addends are not even, then the sum of two whole numbers is not even.

A square is a rectangle with four congruent sides. Write the definition as a biconditional.

A square is a rectangle if and only if it has four congruent sides.

A square is a rectangle with four congruent sides.

A rectangle is a quadrilateral.

What is the converse statement of "If you cheat in the test, then you get a zero." ?

If you get a zero, then you cheat in the test.

If you cheat in the test, then you get a zero.

If you do not cheat in the test, then you do not get a zero.

If you do not get a zero , then you do not cheat in the test.

Write the if-then form in conditional statement. Two planes intersect at a line.

If two planes intersect, then their intersection is a line.

If two planes do not intersect, then their intersection is not a line.

If two planes do not intersect in a line, then they are not intersecting planes.

If two planes intersect , then their intersection is a point.

Inductive Reasoning means...

Using patterns to make conjectures

Using facts to make generalizations

Identify the conclusion of the conditional statement: If you give me twenty dollars, then I will be your best friend.

Conclusion: I will be your best friend

Conclusion: then I will be your friend

Conclusion: you give me twenty dollars

Conclusion: if you give me twenty dollars

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

If the measures of the angles are not equal, then the angles are not congruent.

If the measures of the angles are equal, then the angles are congruent.

If angles are not congruent, then the measures of the angles are not equal.

If the angles are not congruent, then the measure of the angles are equal.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

The measures of the angles are equal.

Then the measures of the angles are equal.

Draw a conclusion from the statement. If you go fishing, then you will need to bring your fishing rod. You go fishing.

You will need to bring your fishing rod.

Use the law of syllogism to draw a conclusion from the two given statements: Statement 1: If you exercise regularly, then you have a healthy body Statement 2: If you have a healthy body, then you have more energy

If you exercise regularly, then you have more energy

If you do not have a healthy body, then you do not exercise regularly

What is the inverse to this statement?

If you don't live in Montreal, then you don't live in Canada.

If you live in Canada, you live in Montreal

If you don't live in Canada, you don't live in Montreal.

What statement is this symbols?

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

Inductive Reasoning means...

Testing and observing patterns to make conjectures

Using deductive reasoning, which of the following completes the statement to form a valid conclusion? If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, then...

The big test will not be given today.

Look out for the snowplows while driving to school.

The roads will be hard to drive on.

You should call the school to see if school is canceled.

Practice Work: Geometry Lessons 2.1 - 2.3

Authored by Roldan Corpuz

Mathematics

9th - 12th Grade

CCSS covered

Used 43+ times

Practice Work: Geometry Lessons 2.1 - 2.3

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which counterexample shows that the following conjecture is false: “If angle 1 and angle 2 are supplementary, then one of the angles is obtuse”?

angle 1 = 45° and angle 2 = 45°

angle 1 = 53° and angle 2 = 127°

angle 1 = 90° and angle 2 = 90°

angle 1 = 100° and angle 2 = 80°

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which conjecture is true?

An even number plus 3 is always even.

An even number plus 3 is always prime.

An even number plus 3 is always odd.

A prime number plus 3 is always even

Tags

CCSS.3.OA.D.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the converse of the conditional statement “If it is January, then it is winter in the United States,” ?

If it is winter in the United States, then it is January.

If it is not winter in the United States, then it is not January.

Not here

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?

If a number is divisible by 3, then it is divisible by 6.

If a number is not divisible by 6, then it is not divisible by 3

If a number is not divisible by 3, then it is not divisible by 6.

If a number is not divisible by 6, then it is divisible by 3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given: If one angle of a triangle is a right angle, then the other two angles are both acute. A triangle has a 45 angle.
What conclusion can be drawn?

One of the other two angles is 90°.

One of the other two angles is obtuse.

All three angles are acute.

No conclusion can be drawn.

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which symbolic statement represents the Law of Syllogism?

If p ---> q and q ---> r are true statements, then p ---> r is a true statement.

If p ---> q and p ---> r are true statements, then q ---> r is a true statement.

If p ---> q and r ---> q are true statements, then q ---> p is a true statement.

If p ---> r and q ® r are true statements, then p ---> q is a true statement.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is a biconditional statement of the conditional statement “If x³ = -1, then x = -1”?

If x = -1, then x³ = -1.

x³ = -1 if x = -1.

x³ = -1 if and only if x = -1.

x = -1 ---> x³ = -1.

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Practice Work: Geometry Lessons 2.1 - 2.3

Which counterexample shows that the following conjecture is false: “If angle 1 and angle 2 are supplementary, then one of the angles is obtuse”?

Which conjecture is true?

What is the converse of the conditional statement “If it is January, then it is winter in the United States,” ?

What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?

Given: If one angle of a triangle is a right angle, then the other two angles are both acute. A triangle has a 45 angle.
What conclusion can be drawn?

Which symbolic statement represents the Law of Syllogism?

Which is a biconditional statement of the conditional statement “If x³ = -1, then x = -1”?

Find the next 2 numbers in the pattern.
1, 2, 3, 5, 8, 13, . . .

Show that the conjecture is false by finding a counterexample. The difference of two odd numbers is a prime number.

Identify the hypothesis of the statement “If an angle has a
measure less than 90°, then the angle is acute.”

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Similar Resources on Wayground

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Practice Work: Geometry Lessons 2.1 - 2.3

Which counterexample shows that the following conjecture is false: “If angle 1 and angle 2 are supplementary, then one of the angles is obtuse”?

Which conjecture is true?

What is the converse of the conditional statement “If it is January, then it is winter in the United States,” ?

What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?

Given: If one angle of a triangle is a right angle, then the other two angles are both acute. A triangle has a 45 angle. What conclusion can be drawn?

Which symbolic statement represents the Law of Syllogism?

Which is a biconditional statement of the conditional statement “If x3 = -1, then x = -1”?

Find the next 2 numbers in the pattern. 1, 2, 3, 5, 8, 13, . . .

Show that the conjecture is false by finding a counterexample. The difference of two odd numbers is a prime number.

Identify the hypothesis of the statement “If an angle has a measure less than 90°, then the angle is acute.”

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given: If one angle of a triangle is a right angle, then the other two angles are both acute. A triangle has a 45 angle.
What conclusion can be drawn?

Which is a biconditional statement of the conditional statement “If x³ = -1, then x = -1”?

Find the next 2 numbers in the pattern.
1, 2, 3, 5, 8, 13, . . .

Identify the hypothesis of the statement “If an angle has a
measure less than 90°, then the angle is acute.”