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Shortcuts to Congruence
Defining Properties
Classified
Theoretically
Miscellanous
100

A "shortcut" conjecture involving two sides of a triangle and the angle between them being congruent to the corresponding two sides and angle between of another triangle; used to prove triangles congruent.

What is Side-Angle-Side (SAS)

100

It's what two lines are called if they cross to form right angles

What is Perpendicular?

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 what you can conclude if G is the midpoint of segment AB

What is segment AG is congruent to segment GB

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 determine if a triangle is possible with given side lengths

What is the Triangle Inequality 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 the property used to show that if a=b and b=c, then a=c

What is the "Transitive Property of Equality" (Can you feel the logic flow?!)

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

Congruent angles directly across from each other where two lines intersect

What are vertical angles?

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

If we know two angle measures within a triangle, what can we logically conclude?

What is the 3rd angle?  (--> third angles theorem)

500

It's the property used to show an object is congruent to itself

What is "shared side," a.k.a. the Reflexive (mirror) Property of Congruence?

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