Basics
This basic shape has no dimensions
what is a point?
if p then q
p
therefore q
What is the law of detachment?
this triangle has a right angle
What is a right triangle?
This postulate says a line segment is made up of the sum of its smaller segments.
Segment Addition Postulate
We can say vertical angles are equal because of this theorem.
Vertical Angle Theorem
What is colinear?
if p then q
if q then p
What is the converse?
This triangle has no congruent sides.
What is a scalene triangle?
This postulate states that two adjacent angles add to the the larger angle they form.
What is angle addition postulate?
We can prove two triangles are congruent if they have a congruent side between two congruent angles.
What is the Angle Side Angle theorem?
An angle pair that is supplementary and adjacent.
What is a linear pair?
if 3x = 6 then x = 2
what is the division property of equality?
this triangle has two equal sides
what is an isosceles triangle?
This postulate states two triangles are congruent if they have a congruent angle formed by two congruent sides.
What is the side angle side postulate?
the sum of the interior angles of a triangle is 180 degree.
What is the triangle sum theorem?
if a = b and b = c then a = c is an example of this property of equality.
What is transitive property?
If it is raining then I wear a coat.
I am wearing a coat.
What is an invalid attempt at detachment?
a triangle that has an obtuse angle and two equal sides.
What is an obtuse isosceles triangle?
a ray or segment that divides an angle into two equal parts.
What is an angle bisector?
If a triangle has two congruent sides then the angles opposite those sides are congruent.
What is the base angle theorem?
The ratio of actual outcomes to the total number of possible outcomes.
What is probability?
This logic structure consists of 3 or more conditional statements.
What is a syllogism?
A triangle with sides of 10 and 15 inches, this is the range of the length of the this side.
What is the side is between 25 and 5 inches?
if M is the midpoint of AB then
What is AM = MB?
the converse of the base angle theorem
What is the sides of a triangle are congruent if the base angles are congruent?