Shortcuts to Congruence
Defining Properties
Classified
Theoretically
Miscellanous
100
This was the first shortcut we used to show triangles congruent
What is Side-Angle-Side (SAS)
100
It's the property used to show an object is congruent to itself
What is the Reflexive Property of Congruence
100
It's what a triangle is called if no sides are congruent
What is Scalene
100
It's the theorem used to show two angles are congruent in an Isosceles triangle
What is the Base Angles Theorem
100
It's the number of ways we can classify triangles by their angles
What is 4 (acute, right, obtuse and equiangular)
200
This is the only shortcut that doesn't need an angle
What is Side-Side-Side (SSS)
200
It's the property used to show that if a=b and b=c, then a=c
What is the Transitive Property of Equality
200
It's a triangle with an angle measuring between 90 and 180 degrees.
What is an Obtuse triangle
200
It's a theorem that can be used to prove the sides of a triangle form a right triangle
What is the Pythagorean Theorem
200
It's the number of ways you can prove triangles congruent
What is 5 (SAS, SSS, HL, ASA and AAS)
300
This is the only shortcut that uses just two letters to describe it
What is Hypotenuse-Leg (HL)
300
It's what you can conclude if G is the midpoint of segment AB
What is segment AG is congruent to segment GB
300
These type of triangles have at least two congruent sides
What is Isosceles
300
It's the minimum number of angle measures needed to know in an Isosceles triangle to find the other(s)
What is one
300
It's how we know two right angles are congruent to each other
What is the Right Angle Congruence Theorem
400
It's the location of the side in an Angle Side Angle congruence
What is included between the angles
400
It's the property used to replace one value with another equivalent value
What is the Substitution Property
400
It's how a triangle with three congruent sides is classified by its angles
What is Equiangular
400
It's the theorem that tells us we have an Isosceles triangle if we know two angles are congruent
What is the Converse Base Angles Theorem
400
It's the Statement in a proof whose Reason was ASA (or AAS or SAS or SSS or HL)
What is a Triangle Congruence Statement
500
It's the congruence we proved with the third angles theorem
What is Angle-Angle-Side (AAS)
500
It's what two lines are called if they cross to form right angles
What is Perpendicular
500
It's the minimum number of acute angles found in an acute triangle
What is 3
500
In a triangle it's what the sum of the two nonadjacent interior angles are equal to
What is the Exterior Angle
500
It's what CPCTC stands for
What is Corresponding Parts of Congruent Triangles are Congruent
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