Algebra or Geo Proof
What property states that angle 1 is congruent to angle 3
Vertical Angles Theorem
What property says...
if a=b and b=c, then a=c.
What is...
Transitive Property.
A mathematical statement that can be proven.
What is....
Theorem
Decide if the following statement is true always, sometimes, or never.
Two angles that are vertical are non-adjecent.
What is...
always.
What does the Vertical Angle Theorem state?
What is...
If two angles are vertical angles, then they are congruent.
Which property is indicated by: 2x = 2x
Reflexive Property
Choose the property that justifies the following.
-3x+5+2x=12 and x=4
-3(4)+5+2x=12
What is...
Substitution Property.
Geometric term for statements that we assume to be true
What is....
Postulate.
Decide if the following statement is true always, sometimes, or never.
If two angles form a linear pair, then they are supplementary angles.
What is...
always. This is the Supplement Theorem.
What does the Segment Addition Postulate state?
What is...
If B is between A and C, then AB + BC = AC.
OR
If AB + BC = AC, then B is between A and C.
If angle A is 28 degrees, and Angle A is congruent to Angle B, and Angle B is congruent to Angle C, how large is Angle C? Also, What property is this an example of?
28 degrees, Transitive
What property justifies the following statement...
If AB=CD and CD=EF, then AB=EF.
What is...
Transitive Property.
A convenient method for organizing a logical argument in the form of a table...
What is...
Two-column proof
Decide is the following statement is true always, sometimes, or never.
A line contains 3 or more points.
What is...
sometimes.
The sum of all the angles of a pentagon.
What is...
540 degrees.
Which property is illustrated by the following statement: If (a+b) = (d+e), then (a+b) - c = (d+e) - c
Subtraction Property of Equality
What property justifies the following...
3 (4x + 1) = 15
12x + 3 = 15
What is...
Distributive Property.
Two angles that share a vertex and one ray.
What is...
adjacent
Decide if this statement is true always, sometimes, or never.
Two angles that form a linear pair are congruent...
What is...
sometimes.
Prove that two lines are parallel.
What is...
answers vary
Segment AB is congruent to Segment BA. This is an example of...
Symmetric Property of Equality.
If x = 12 and you are given 2x + 4, which property allows for you to find the value of this expression is 28?
Substitution Property of Equality
A line that crosses two parallel lines, creating a series of angles that are related.
What is...
Transversal
Complete the proof.
Given: AC=BD
Prove: AB is congruent to CD
(** Draw an image where you have a line with points A, B, C, D in this order**)
AC=BD Given
AB+BC=AC; BC+CD=BD Segment Addition Post.
AB+BC=BC+CD Substitution
AB=CD Subtraction
AB is congruent to CD Def. of Congruence
Slopes are opposite and reciprocal
What are...
Perpendicular lines?