Postulates/Theorems
Angles
Sides
Proofs
100

State the postulate or theorem that can be used to conclude these triangles are congruent.

SAS

100

By the vertical angles theorem, what two angles are congruent. 

angle BCA and angle DCE

100

If AD is an angle bisector of angle A, what two lines can we say are congruent?

BD=DC

100

What is the reason for statement #1?

Given

200

State the postulate or theorem that concludes these triangles are congruent.

ASA

200

By the Alternate Interior Angles Theorem, what two angles are congruent.

angles 4 and 5

200

If ED is a perpendicular bisector of line AB, what two sides are congruent. 

AD=DB

200

What is the reason for statement #3?

Definition of a midpoint

300

State the postulate or theorem that concludes these triangles are congruent. 

SSS

300

Assume triangle ABC is congruent to triangle XYZ. What angle is congruent to angle B in triangle XYZ.

angle Y

300

CD is a perpendicular bisector of AB. If AD=12, what does DB equal?

DB=12

300

What is the reason for statement #3?

Definition of bisects

400

State the postulate or theorem that concludes that angle A and angle D are congruent.

Alternate interior angle theorem 

400

What is the value of x.

x=137

400

If OM is an angle bisector of angle LMN. What is the value of x.

x=7

400

What is the reason for statement #5?

SSS

500

State the postulate or theorem that concludes angle ACB and angle DCE are congruent. 

Vertical angles theorem

500

What is the value of x.

x=5

500

DB is a perpendicular bisector of AC. Find the value of x.

x=6

500

What is the reason for #5?

SAS

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