Lesson 1
Two right triangles are congruent if the hypotonus and leg of one right triangle and congruent to the hypotonus and leg of another triangle.
What is HL*?
*Hypotonus Leg
If two triangles are congruent, than one part of one triangle will be congruent to the corresponding part of the other triangle.
What is CPCTC*?
*Corresponding Parts of Congruent Triangles are Congruent
a2+b2=c2
What is the Pythagorean Theorem?
You can use these four congruence theorems to construct a congruent triangle with constructions.
What is SSS*, SAS**, ASA***, and HL****?
*Side Side Side
**Side Angle Side
***Angle Side Angle
****Hypotenuse Leg
Two triangles are congruent if two sides and their included angle are congruent to that of another triangle.
What is SAS*?
*Side Angle Side
You must know this is true before using CPCTC.
What is the triangles are congruent?
If you use distance formula to prove congruence, you are using this congruence theorem.
What is SSS*?
*Side Side Side
A side/angle/shape is always congruent to itself.
What is the Reflexive Property?
Two triangles are congruent if two angles and their included side is congruent to that of another triangle.
What is ASA*?
*Angle Side Angle
You use the ________ in order to use CPCTC.
*fill in the blank*
What is congruence statement?
slope=(y2-y1)/(x2-x1)
What is the slope formula?
You must mention this to apply HL in a proof.
What is the right angles?
Two triangles are congruent if all of the sides of one triangle are congruent to all of the sides of another.
What is SSS*?
*Side Side Side
△ABC≅△JKL
∠B≅?
What is ∠K?
d=√ (x2-x1)2+(y2-y1)2
What is the distance formula?
You know you have shown enough information in a proof when...
What is you have proven all three (or 2 for HL*) components from the congruence theorem?
*Hypotenuse Leg
Two triangles are congruent if two angles and a non-included side are congruent to that of another triangle.
What is AAS*?
*Angle Angle Side
△ABC≅△JKL
CA≅?
What is LJ?
You can use slope formula to prove triangles on coordinate planes are congruent when this is true.
What is the triangles have not been rotated, or the triangle has been mirrored*?
*If it has been mirrored, then the slope will be the same, but the sign will be opposite (positive negative)
You finish a proof by...
What is your your last statement should be the congruence statement you are trying to prove, and the reason should be the congruence theorem you used?