Either draw a valid conclusion or state "no valid conclusion". If there is a valid conclusion, tell whether the conclusion is by the law of detachment or syllogism: Given: If a quadrilateral has diagonals that bisect each other, then it is a parallelogram. The diagonals of quadrilateral PQRS bisect each other.

PQRS is a parallelogram, by Law of Detachment

PQRS is a parallelogram by Law of Syllogism

Either draw a valid conclusion or state "no valid conclusion". If there is a valid conclusion, tell whether the conclusion is by the law of detachment or syllogism: Given: If Liana struggles in science class, then she will receive tutoring. If Liana stays in school on Thursday, then she will receiving tutoring.

Liana struggles in science class, Law of Detachment

Liana struggles in science class, Law of Syllogism

Either draw a valid conclusion or state "no valid conclusion". If there is a valid conclusion, tell whether the conclusion is by the law of detachment or syllogism: Given: If an earthquake measures a 7.0 or higher on the Richter scale then it is considered a major earthquake that could cause serious damage. The 1906 San Francisco earthquake measured 8.0 on the Richter scale.

The 1906 San Francisco earthquake was a major earthquake that caused serious damage. Law of Detachment

The 1906 San Francisco earthquake was a major earthquake that caused serious damage. Law of Syllogism

Geometry Chapter 2 Review (Reasoning and Proof)

Authored by Kelli Goodale

Mathematics

10th Grade

CCSS covered

Used 153+ times

Geometry Chapter 2 Review (Reasoning and Proof)

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15 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If $7\left(x-3\right)=35$ then $35=7\left(x-3\right)$ .

subtraction property

substitution property

symmetric property

reflexive property

Tags

CCSS.6.EE.A.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If $2x+19=27$ then $2x=8$ .

symmetric property

multiplication property

subtraction property

distributive property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

5(3x+1)=15x+5

symmetric property

subtraction property

reflexive property

distributive property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$7x-2=7x-2$

reflexive property

symmetric property

subtraction property

distributive property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If $12=2x+8$ and $2x+8=3y$ then 12=3y

symmetric property

subtraction property

transitive property

distributive property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tell whether the following statement is always, sometimes, or never true:

Two planes intersect at a point.

always

sometimes

never

Tags

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tell whether the following is always, sometimes or never true:

Three points are contained in more than one plane.

always

sometimes

never

Tags

CCSS.HSG.CO.A.1

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Geometry Chapter 2 Review (Reasoning and Proof)

If $7\left(x-3\right)=35$ then $35=7\left(x-3\right)$ .

If $2x+19=27$ then $2x=8$ .

5(3x+1)=15x+5

$7x-2=7x-2$

If $12=2x+8$ and $2x+8=3y$ then 12=3y

Tell whether the following statement is always, sometimes, or never true:

Two planes intersect at a point.

Tell whether the following is always, sometimes or never true:

Three points are contained in more than one plane.

Tell whether the following is always, sometimes, or never true:

If line m lies in plane X and line m contains a point Q, then point Q lies in plane X.

Tell whether the following is always, sometimes, or never true:

If two angles are complementary, then they form a right angle.

Six people are introduced at a business convention. If each person shakes hands with each of the others, how many handshakes will be exchanged?

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Geometry Chapter 2 Review (Reasoning and Proof)

If 7(x−3)=357\left(x-3\right)=357(x−3)=35 then 35=7(x−3)35=7\left(x-3\right)35=7(x−3) .

If 2x+19=272x+19=272x+19=27 then 2x=82x=82x=8 .

5(3x+1)=15x+5

7x−2=7x−27x-2=7x-27x−2=7x−2

If 12=2x+812=2x+812=2x+8 and 2x+8=3y2x+8=3y2x+8=3y then 12=3y

Tell whether the following statement is always, sometimes, or never true:Two planes intersect at a point.

Tell whether the following is always, sometimes or never true:Three points are contained in more than one plane.

Tell whether the following is always, sometimes, or never true:If line m lies in plane X and line m contains a point Q, then point Q lies in plane X.

Tell whether the following is always, sometimes, or never true:If two angles are complementary, then they form a right angle.

Six people are introduced at a business convention. If each person shakes hands with each of the others, how many handshakes will be exchanged?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If $7\left(x-3\right)=35$ then $35=7\left(x-3\right)$ .

If $2x+19=27$ then $2x=8$ .

$7x-2=7x-2$

If $12=2x+8$ and $2x+8=3y$ then 12=3y

Tell whether the following statement is always, sometimes, or never true:

Two planes intersect at a point.

Tell whether the following is always, sometimes or never true:

Three points are contained in more than one plane.

Tell whether the following is always, sometimes, or never true:

If line m lies in plane X and line m contains a point Q, then point Q lies in plane X.

Tell whether the following is always, sometimes, or never true:

If two angles are complementary, then they form a right angle.