Chapter 2 Proof Reason Review

In a geometric proof, reasons on the _____ side

• Left

• Right

• transative

• POE

In a geometric proof, statements go on the ____ side

• left

• right

• transative

• POE

Tags

CCSS.8.G.A.5

When writing a proof start with ......

• The given

• Transative property

• Supplementary angles

• Subtraction POE

Tags

CCSS.HSG.C.A.3

• Congruent

• transitive

• equal sign

• supplementary

Answer explanation

Congruent means same shape and size

Tags

CCSS.8.G.A.2

A rule that is accepted without proof

• postulate
• theorem
• proof
• conditional statement

Answer explanation

Remember some people use AXIOM and Postulate as the same term.

Tags

CCSS.HSG.CO.C.11

AB + BC = AC

• Angle addition postulate

• Segment addition postulate

• Definition of supplementary angles

• Transative property

Answer explanation

Little Segment + Little Segment = Big Segment when the points are collinear. We are assuming that A, B, and C are collinear points in this instance.

• Definition of midpoint

• Definition of angle bisector

• Definition of segment bisector

• Definition of perpendicular lines

Tags

CCSS.HSG.CO.C.10

m<AMX + m<XMB = m<AMB

• Segment addition postulate

• Angle addition postulate

• Definition of supplementary angles

• Definition of angle bisector

Answer explanation

Little Angle + Little Angle = Big Angle assumes that the little angles are ADJACENT.

Tags

CCSS.8.G.A.5

Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?

• Angle A + Angle B = 90

• A and B are both acute angles
• Angle A + Angle B = 180

• Angle A and Angle B are both obtuse angles

Answer explanation

Remember a linear pair forms a line which is a straight angle. All straight angles measure 180 degrees.

Tags

CCSS.7.G.B.5

• Definition of supplementary

• Definition of complementary

• Definition of a right angle

• Definition of perpendicular

Answer explanation

Remember a GOOD definition is a biconditional. It works both forward and backward.

So if they are complementary means they add to 90 degrees.

AND

If they add to 90 degrees means they are complementary.

Are both TRUE!

Tags

CCSS.7.G.B.5