Congruence
Triangle Proofs
Segment Proofs
Angle Proofs
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.

(e.g. Kite, trapezoid)

200

Triangle congruence postulate that proves

\trianglePQR\cong \trianglePQS

SSS

200

Reason 3

Definition of midpoint

200

Reason 3

200

Reason 3

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

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