Congruency Statements
Congruent Triangles
Solve for x
Vocabulary
100
Are these 2 triangles congruent? If yes, what Theorem?
Yes, they are congruent by SAS
100
What are four theorems of congruence?
SSS, SAS, ASA, AAS
100
What is the missing angle?
60 deg
100
What does it mean for two shapes to be congruent?
Same size and same shape
200
Are these triangles congruent ? If yes, what theorem?
Yes, by AAS.
200
Find angle A
e below.
36 degrees.
200
What does it mean to be an obtuse isosceles triangle?
There is one obtuse angle and two sides are congruent.
300
Are these triangles congruent? What Theorem?
Yes, the triangles are congruent by SSS
300
If triangle ABC is congruent to triangle DEF, DE=6, what does AB equal?
AB=6
300
29 deg
300
What are corresponding sides?
Sides that match up with each other
400
Are these triangles congruent??
No, they are congruent because SSA is not congruence theorem
400
If triangle XYZ is congruent to triangle QRS, ZY=12, what does SR equal?
SR = 12
400
What is the value of x and y?
x = 13, y = 7
400
Define included angle. You can write a definition or draw a picture
Its the angle between two sides.
500
If we know segment KA bisects angle K, are triangles JAK and NAK congruent? if yes, what theorem? 
Yes, they are by SAS
500
Critique the following statement: “Two figures are congruent if they look the same.”
Discuss what must actually be met for congruence.
Congruent triangles have all matching sides and angles equal, and one can be placed exactly on top of the other using a transformation (translate, reflect, or rotate).
500
What is the value of x if ΔLMN≅ΔRST?
x = 15
500
You are building a bridge support made of two metal beams that form a triangle. The engineer says the beams must form congruent triangles so the weight is balanced.
Apply what you know about congruence: Which measurements need to be the same to guarantee both triangles are congruent?
SSS – all three sides equal
SAS – two sides and the included angle equal
ASA – two angles and the included side equal
AAS – two angles and a non-included side equal
If those measurements match, the triangles will be congruent and the bridge will stay balanced.