Congruent Triangles Methods

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

The shared side between the triangles is congruent in both triangles by the refleXive postulate. The triangles can be proven congruent by ASA.

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

The vertical angles formed by the crossing lines are congruent in both triangles. The triangles can be proven congruent by AAS.

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

The shared side between the triangles is congruent in both triangles by the refleXive postulate. The triangles then can be proven congruent by SSS.

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

There are only two pairs of corresponding congruent parts marked in the diagram. To prove two triangles congruent, you need three pairs of congruent corresponding parts, so these triangles CANNOT be proven congruent!

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

The vertical angles formed by the intersecting sides are congruent. The triangles can be proven congruent by ASA.

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

The vertical angles formed by the intersecting sides are congruent. The triangles can be proven congruent by SAS.

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

The shared side (the diagonal) is congruent in both triangles by refleXive postulate, so the triangles can be proven congruent by AAS.

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

Even though the vertical angles formed by the intersecting sides are congruent, SSA is not a method to prove triangles are congruent (unless the A is a right Angle!) Therefore the triangles canNOT be proven congruent.

Tags

CCSS.HSG.SRT.B.5

Consider if any additional information can be marked up in the given diagram. Then determine if the pair of triangles can be proved congruent by SSS, SAS, ASA, or AAS. If the triangles cannot be proven congruent by one of those methods, choose "Not Congruent"

• SSS

• SAS

• ASA

• AAS

• NOT CONGRUENT

Answer explanation

The vertical angles formed by the intersecting sides are congruent, so the triangles are congruent by ASA.

Tags

CCSS.HSG.SRT.B.5

Which additional information is needed to provide the named triangles are congruent by the given method?

Answer explanation

A pair of angles and a pair of sides are marked congruent. The remaining pair of sides to be congruent are sides VW and WK to prove the triangles are congruent using SAS. (If sides VX and KX are congruent, that would be SSA, which doesn't work unless the A is a right angle and we have HL.)

Tags

CCSS.HSG.SRT.B.5