Shortcuts to Congruence

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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