geometry ch2 reasoning and proofs

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What is the REASON for Statement #2?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.HSG.CO.C.9

What is the REASON for Statement #3?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.HSG.CO.C.9

Write the conditional statement as a biconditional statement: If two lines intersect at a 90 degree angle, then those two lines are perpendicular.

• Two lines intersect at a 90 degree angle if and only if they are perpendicular.

• If two lines do not intersect at a 90 degree angle, then the two lines are not perpendicular.

• If two lines intersect at a 90 degree angle if and only if then they are perpendicular.

• If two lines are perpendicular, then they intersect at a 90 degree angle.

Tags

CCSS.HSG.CO.A.1

What type of reasoning do we use when we write proofs?

• Inductive Reasoning

• Deductive Reasoning

• The Law of Syllogism

• The Law of Detachment

If possible, use the Law of Syllogism to write a new conditional statement that follow from the pair of true statements.

If soccer practice is cancelled, then you can go to the mall after school. If it is raining today, then soccer practice is cancelled.

• You cannot use the Law of Syllogism.

• If it is raining today, then you can go to the mall after school.

• If you can go to the mall after school, then it is raining today.

• If soccer practice is canceled, then it is raining today.

If a figure is a square, the it is a rectangle. You know that quadrilateral ABCD is a square. Use the Law of Detachment, what statement can you make?

• Quadrilateral ABCD is a square.

• No conclusion can be made.

• Quadrilateral ABCD is not a square.

• Quadrilateral ABCD is a rectangle.

Name the property of equality that the statement illustrates. 
 $m<1=m<2\ and\ m<2=m<5.\ So,\ m<1=m<5$  

• Reflexive Property

• Symmetric Property

• Transitive Property

• Neither

Underline the hypothesis and italicize the conclusion in each statement.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• If a polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Tags

CCSS.HSG.CO.A.1