Reasoning and Proof Geometry Review

If M is the midpoint of AB, then AM=MB

• definition of angle bisector

• angle bisector theorem

• definition of midpoint

• midpoint theorem

Tags

CCSS.HSG.GPE.B.6

If Y is between X and Z, the XY+YZ = XZ

• angle addition postulate

• segment addition postulate

• addition property

• definition of midpoint

If something is an angle, then it is acute. What is an appropriate counterexample?

• 70⁰

• 45⁰

• 120⁰

• True. There is no counterexample.

Tags

CCSS.7.G.B.5

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.

• always

• sometimes

• never

Tags

CCSS.HSG.CO.A.1

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.

• No valid conclusion

• PQRS is a parallelogram, by Law of Detachment

• PQRS is a parallelogram by Law of Syllogism

Why are these 2 triangles congruent, based on your proof?

• ASA

• SAS

• SSS

• Hypotenuse Leg Thm

Tags

CCSS.HSG.SRT.B.5

In the given proof, what is the reason for step 2?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

Tags

CCSS.HSG.SRT.B.5

In the given proof, what is the statement for step 4?

Tags

CCSS.HSG.CO.C.11

What missing piece of information is needed to prove the triangles congruent using SAS?

• NM = AM

• NL = CA

• ∠M≅∠B

• ∠N≅∠C

Tags

CCSS.HSG.SRT.B.5

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• Yes by ASA

• Yes by AAS

• Yes by SSA

• Not congruent

Tags

CCSS.HSG.SRT.B.5