Congruence
Triangle Proofs
Segment Proofs
Angle Proofs
Quadrilaterals
100
If
\triangleCFE\cong\trianglePTR, \overline{CE}\cong?
\overline{PR}?
100
Reasons 1 and 2
Given
100
Reasons 1 and 2
Given and definition of midpoint
100
Reasons 1 and 2
Given and definition of right angle
100
A type of quadrilateral that is NOT a parallelogram.
Answers vary
(e.g. Kite, trapezoid)
200
Triangle congruence postulate that proves
\trianglePQR\cong \trianglePQS
SSS
200
Reason 3
Definition of midpoint
200
Reason 3
Addition property
200
Reason 3
Angle addition postulate
200
Find z 
10
300
If
∆BCM ≅ ∆ZYR, CM=?
11 m
300
Reasons 4 and 5
Definition of midpoint and SSS
300
Reason 4
Substitution property
300
Reasons 4 and 5
4. Substitution Property or Transitive Property
5. Definition of Complementary
300
Find the length of WZ
29
400
Given ∆BCM ≅ ∆ZYR,
m\angleB=?
45^\circ?
400
Reasons 1, 2, and 3
Given, Given, and Alternate Interior Angles Theorem
400
Reasons 1 and 2
Given and definition of congruence
400
Reasons 1 and 3 and Reasons 2 and 4?
1 and 3.) Given
2 and 4.) Definition of angle bisector
400
Find x.
9
500
Given ∆XPS ≅ ∆DNF, find the values of x and y.
x=3
y=15
500
Reasons 4 and 5
Reflexive property and SAS
500
Reasons 3 and 4
Transitive property and definition of midpoint
500
Theorem that justifies this statement:
Congruent complements theorem
500
Find m<NML
22