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Proving Triangles Are Congruent

Total questions: 17

Worksheet time: 34mins

Name
Class
Date
1.

Fill in the missing reason for the two column proof.

a)

Definition of a Segment Bisector

b)

Definition of a Midpoint

c)

Definition of an Angle Bisector

d)

Transitive Property of Equality

2.

Fill in the missing reason for the 2-Column proof.

a)

Vertical Angles Theorem (VAT)

b)

Definition of a Midpoint

c)

Definition of an Angle Bisector

d)

Alternate Interior Angles Theorem (AIAT)

3.

Fill in the missing reason for the 2-Column Proof.

a)

Vertical Angles Theorem (VAT)

b)

Right Angle Congruence Theorem (RACT)

c)

Definition of an Angle Bisector

d)

Alternate Interior Angles Theorem (AIAT)

4.

Fill in the missing reason for the 2-Column Proof.

a)

Definition of a Segment Bisector

b)

Definition of a Midpoint

c)

Definition of an Isosceles Triangle

d)

Definition of an Angle Bisector

5.

Fill in the missing reason for the 2-Column Proof.

a)

Definition of an Isosceles Triangle

b)

Right Angles Congruence Theorem (RACT)

c)

Definition of an Angle Bisector

d)

Reflexive Property

6.

Fill in the missing reason for the 2-Column Proof.

a)

Definition of an Angle Bisector

b)

Base Angles Theorem (BAT)

c)

Definition of an Isosceles Triangle

d)

Definition of a Segment Bisector

7.

Fill in the missing reason for the 2-Column Proof.

a)

Definition of an Angle Bisector

b)

Definition of an Isosceles Triangle

c)

Right Angle Congruence Theorem (RACT)

d)

Alternate Interior Angles Theorem (AIAT)

8.

Fill in the missing reason for the 2-Column proof.

a)

Vertical Angles Theorem (VAT)

b)

Alternate Interior Angles Theorem (AIAT)

c)

Definition of an Angle Bisector

d)

Definition of an Isosceles Triangle

9.

Fill in the missing reason for the 2-Column Proof.

a)

Definition of an Isosceles Triangle

b)

Vertical Angles Theorem (VAT)

c)

Definition of an Angle Bisector

d)

Right Angle Congruence Theorem (RACT)

10.

Fill in the missing reason for the 2-Column proof.

a)

Definition of a Segment Bisector

b)

Reflexive Property of Congruence

c)

Definition of a Midpoint

d)

Definition of an Isosceles Triangle

11.

Fill in the missing reason for the 2-Colmun Proof.

a)

Definition of Perpendicular

b)

Definition of a Right Angle

c)

Right Angle Congruence Theorem (RACT)

d)

Definition of an Angle Bisector

12.

Fill in the missing theorem or postulate.

a)

Side-Angle-Side (SAS)

b)

Side-Side-Side (SSS)

c)

Angle-Side-Angle (ASA)

d)

Angle-Angle-Side (AAS)

13.

Fill in the missing Postulate or Theorem.

a)

Side-Angle-Side (SAS)

b)

Angle-Side-Angle (ASA)

c)

Angle-Angle-Side (AAS)

d)

Hypotenuse-Leg (HL)

14.

Fill in the missing Postulate or Theorem.

a)

Side-Side-Side (SSS)

b)

Angle-Side-Angle (ASA)

c)

Side-Angle-Side (SAS)

d)

Angle-Angle-Side (AAS)

15.

Fill in the missing postulate or theorem.

a)

Side-Side-Side (SSS)

b)

Angle-Side-Angle (ASA)

c)

Side-Angle-Side (SAS)

d)

Hypotenuse-Leg (HL)

16.

Finish the congruency statement.

a)

JHG

b)

GHJ

c)

HGJ

d)

JGH

17.

Finish the congruency statement.

a)

RTQ

b)

QTR

c)

QRT

d)

TQR