Geometry/Logic by DMB

Congruent Segments

100

Given that M is the midpoint of segment AB, this is a valid conclusion.

What is AM = MB?  or

What is M is between A and B?

200

Given that A, B, and C are collinear,and B is between A and C, this is a valid conclusion using the Segment Addition Postulate.

What is AB + BC = AC?

300

This property allows you to conclude UV = YZ if UV=WX and WX=YZ.

What is the Transitive Property?

400

If you are given Segment RS ≅ Segment PQ, this property allows you to say that 

Segment PQ ≅  Segment RS.

What is the Property of Symmetry (or Symmetric Property)?

500

Congruent angles of this measure are complementary.

What is 45 degrees?

Angle Relationships

100

The sum of the measures of this pair of angles = 90.

What are Complementary Angles?

200

The measure of this type of angle is 90 degrees.

What is a Right Angle?

300

The sum of the measures of this pair of angles = 180.

What are Supplementary Angles?

400

The measure of this angle is between 0 and 90.

What is an Acute Angle?

500

The measure of this angle is between 90 and 180.

What is an Obtuse Angle?

Polygons

100

A polygon with all sides congruent is considered this.

What is Regular?

200

This is any 4-sided polygon.

What is a Quadrilateral?

300

This is the usual name for a triangle that is regular.

What is Equilateral?

400

This is used to describe two figures that have equal angles and sides that are in proportion.

What is Similar?

500

This is the only regular quadrilateral.

What is a Square?

Symbols

100

=

What is Equals?

200

                        ^{^}

^{This is used in Logic statements that are Conjunctions.}   

                                                                ^{^}  

What is And?

300

p -> q

What is If p, Then q?

400

~r -> s

What is if not r, then s.

500

≅     ≅     ≅

What is Congruent?

Logic Laws

100

If x = 7, then x² = this.

What is 49?

200

If you do not turn in an assignment, then you receive a 0.  If you receive a 0, then your average will drop.

This is a valid new conditional statement.

What is if you do not turn in an assignment, then your average will drop?

300

Vertical Angles have equal measures.

Angles A and B have equal measures.

This is an invalid conclusion from these statements.

What is 

Angles A and B are vertical angles?

400

In 3+x = 5 iff x=2, 

iff stands for these words.

What is if and only if?

500

Periods F & G are switched on Tuesdays.

Yesterday was Tuesday.

State a valid conclusion.

What is 

Yesterday classes for F & G period were switched?