Geometry Big Ideas

Can you assume the following is true based on the diagram:

Planes L and K intersect at Line PS?

• Yes

• No

The conclusion from this diagram is that angle 1 and angle 2 are a linear pair. What's the reason for this conclusion?

• Definition of linear pair

• Linear pair postulate

• definition of supplementary

Fill in the reason that justifies the step to solve for x in the diagram. Given: QS = 42 Step: QR + RS = QS

• Division Property of Equality

• Segment Addition Postulate

• Simplify or CLT

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

• Contrapositive

• Converse

• Biconditional

• Inverse

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B

• ∠A is acute.

• ∠A is obtuse.

• ∠A is 40⁰

Can you assume the following is true based on the diagram:

Line MQ is in Plane L

• Yes

• No

What is the relationship between <EAD and <DAC?

• They are a linear pair.

• They are complementary.

• They are supplementary.

• They are Vertical.

Which option best fills in the blank in the proof?

• Substitution Property

• Definition of Linear Pair

• Definition of Supplementary Angles

• Angle Addition Postulate

Consider the following statement. If a figure is a square, then it has four sides. New Statement: If the figure does not have four sides, then it is not a square. What does the new statement represent?

• converse

• inverse

• contrapositive

Consider the following statement. If a figure is a square, then it has four sides. New Statement: If the figure has four sides, then it is a square. What does the new statement represent?

• converse

• inverse

• contraspositive