Vocab
What leads to What
What's my Name?
Prove It!!!
Set It Up
100
If two triangles are congruent, then I can conclude that the _____________ __________ and __________ are congruent.
Corresponding Lines and Angles
100
If I am solving for the angles of an Equilateral Triangle, I know that they equal what?
60o
100
Classify this triangle by its sides and angles
Obtuse Scalene Triangle
100
Can these triangles be proven congruent? If yes, what congruency statement would you use?
SSS
100
Set up an equation that would allow you to solve for x. DO NOT SOLVE
17x-8=60
200
Two intersecting lines like BD and AE will always lead to what type of c
ongruent angles
Vertical Angles
200
What must the two missing angles sum to? (Do not solve for x!)
90o (Angles of triangles sum to 180o and you know one is 90o)
200
Classify this triangle by its sides and angles
Equiangular Equilateral Triangle
200
Can these triangles be proven congruent? If yes, what congruency statement would you use?
AAS
200
Set up an equation that would accurately solve for x.
(DO Not SOLVE)
(5x-2)+(9x+3)+(11x-21)=180
300
I am a point that cuts a line segment into two congruent parts
Midpoint
300
If I see a shape with a shared side like AC, I can conclude I will likely be using one of these two congruency properties.
Reflective Property (AC=CA) or the Reflexive Property (AC=AC)
300
Obtuse (the missing angle would be 98o)
300
Can these two triangles be proven congruent? If yes, what congruency statement would you use?
Not Congruent. False AAA proof (No batteries in proofs)
300
If Triangle ABC is an Equilateral triangle,
AB=5x-13, BC=11x-61, AC=7x-29
Set up an equation that would allow you to solve for x. DO NOT SOLVE
5x-13 = 11x-61
11x-61=7x-29
5x-13=7x-29
400
I am a line that cuts an angle in two.
Angle Bisector
400
If two angles inside a triangle are congruent, I can conclude what are congruent?
The two opposite sides. (It is an isosceles triangle)
400
I am a triangle and two of my sides are the same length, and they are perpendicular to one another. What are my two names? (Classify by sides and angles)
Right Isosceles Triangle
400
Can you prove these triangles congruent? If so, list which congruency statement to use.
SAS, HL would not prove these triangles congruent
400
Use the Exterior Angles Theorem to write an equation that would accurately solve for x. (DO NOT SOLVE)
(5x-27)+(7x-32)=9x-8
500
If I am proving that two sides or angles of a triangle are congruent, I need to use what reason?
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
500
If I know two lines are parallel, I can conclude I am using one of two of these angle relationships. (List Both)
Corresponding Angles and Alternate Interior Angles
500
Name all three triangles in the image by their Sides and Angles.
Equilateral Equiangular, Isosceles Obtuse, Right Scalene
500
Can these triangles be proven congruent? If so, what congruency statement would you use?
ASA
500
In Triangle ABC, if the measure of angle A is thirteen less than the measure of angle C and the measure of angle B is eleven less than four times the measure of angle C, solve for the missing angles.
Angle A = 21o
Angle B = 125o
Angle C = 34o