Congruent Triangle Proofs

Match the definition to the term.

• SAS Congruence Postulate

• A point that is directly in the center of a line, that divides the segment in half

• Midpoint

• If three sides of one triangle are congruent to three sides of another, they are congruent

• Bisector

• If two sides & the angles between them are congruent to that of another triangle, they are congruent

• Reflexive Property

• Property which states a = a

• SSS Congruence Postulate

• To cut something in half and create two equal parts

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

1. 1. ​ (a)  

2. 2. ​ (b)  

3. 3. ​ (c)  

4. 4. ​ (d)  

• Given
• Definition of Vertical Angles
• SAS
• Alternate Interior Angles Theorem
• SSS
• Transitive Property
• Reflexive Property
• Substitution Property
• SSA

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

1. 1. ​ (a)  

2. 2. ​ (b)  

3. 3. ​ (c)  

4. 4. ​ (d)  

5. 5. ​ (e)  

• Given
• Definition of a Midpoint
• SAS
• Alternate Interior Angles Theorem
• SSS
• Transitive Property
• Reflexive Property
• Substitution Property
• SSA

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

1. 1. ​ (a)  

2. 2. ​ (b)  

3. 3. ​ (c)  

4. 4. ​ (d)  

5. 5. ​ (e)  

• Given
• Definition of a Midpoint
• SAS
• Alternate Interior Angles Theorem
• ASA
• Transitive Property
• Definition of Vertical Angles
• Definition of Bisector
• SSA

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

1. 1. ​ (a)  

2. 2. ​ (b)  

3. 3. ​ (c)  

4. 4. ​ (d)  

5. 5. ​ (e)  

• Given
• Definition of a Bisector
• SAS
• Alternate Interior Angles Theorem
• ASA
• Transitive Property
• Reflexive Property
• Definition of a Midpoint
• AAS

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

1. 1. ​ (a)  

2. 2. ​ Given

3. 3. ​ (b)  

4. 4. ​ Definition of a Midpoint

5. 5. ​ (c)  

6. 6. ​ (d)  

• Given
• Definition of a Bisector
• Definition of Vertical Angles
• Alternate Interior Angles Theorem
• ASA
• Transitive Property
• Reflexive Property
• Definition of a Midpoint
• AAS
• SAS

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

1. 1. ​ (a)  

2. 2. ​ (b)  

3. 3. Definition of a Bisector

4. 4. ​ (c)  

5. 5. ​ (d)  

• Given
• Definition of a Bisector
• Definition of Vertical Angles
• Alternate Interior Angles Theorem
• ASA
• Transitive Property
• Reflexive Property
• Definition of a Midpoint
• AAS
• SAS

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

2. 1. Given

3. 2. Given

4. 3. ​ (a)  

5. 4. ​ (b)  

6. 5. ​ (c)  

7. 6. ​ (d)  

• Definition of a Bisector
• Definition of Vertical Angles
• Alternate Interior Angles Theorem
• ASA
• Transitive Property
• Reflexive Property
• Definition of a Midpoint
• AAS
• SAS
• Given

Tags

CCSS.HSG.SRT.B.5

Finish the triangle proof by dragging the correct reasons to their box.

2. 1. Given

3. 2. ​ (a)  

4. 3. Right Angle Congruence Theorem

5. 4. ​ (b)  

6. 5. ​ (c)  

7. 6. ​ (d)  

• Definition of a Bisector
• Definition of Vertical Angles
• Definition of Perpendicular
• ASA
• Transitive Property
• Definition of a Midpoint
• HL
• SAS
• Given
• Reflexive Property

Tags

CCSS.HSG.SRT.B.5