2020 Geometry Semester 1 Final

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.

• Your parents let you borrow the car.

• Your parents didn't let you borrow the car.

• Not possible

Tags

CCSS.HSS.CP.A.5

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.

• If a figure is a rhombus, then the figure is a quadrilateral.

• If a figure is a quadrilateral, then the figure is a rhombus.

• Not possible

What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

• Tomorrow is Wednesday.

• We have school.

• Today is Tuesday.

• We do not have school.

Write the contrapositive of the following statement.

"If a figure is a triangle, then the angles sum to 180 degrees."

• If a figure is not a triangle, then the angles do not sum to 180 degrees.

• If the angles of a figure do not sum to 180 degrees, then it is not a triangle.

• If a figure has angles that sum to 180 degrees, then it is a triangle.

• A figure is a triangle if and only if the angles add to 180 degrees.

What has to happen in order to write a biconditional statement?

• The conditional has to be true

• The converse of the conditional has to be true

• BOTH must be true.

• NEITHER must be true.

What is the justification?

• Symmetric Prop.
• Angle addition postulate
• Reflexive Prop
• Transitive Prop.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

Which is the correct reason for statement 2 in the proof?

• Given

• Transitive Property

• Definition of Congruent Angles

• Vertical Angles Theorem

What definition is shown?

• Definition of Supplementary Angles

• Definition of Complementary Angles

• Definition of Linear Pair

• Definition of a Straight Angle

What is the relationship of ∠3 and ∠4?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Linear Pair

Tags

CCSS.HSG.CO.C.9

Which proof is incorrect?

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