AA, SAS, & SSS: proving triangles similar

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta PQR\sim\Delta TUV$ by $SAS\sim$

• $\Delta PQR\sim\Delta TUV$ by $AA\sim$

• $\Delta PQR\sim\Delta VUT$ by $SSS\sim$

• $\Delta PQR\sim\Delta VUT$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta PQR\sim\Delta RKL$ by $SAS\sim$

• $\Delta PQR\sim\Delta RKL$ by $AA\sim$

• $\Delta PQR\sim\Delta RLK$ by $SSS\sim$

• $\Delta PQR\sim\Delta RLK$ by $SAS\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta AHD\sim\Delta KTP$ by $SAS\sim$

• $\Delta AHD\sim\Delta PTK$ by $AA\sim$

• $\Delta AHD\sim\Delta KTP$ by $SSS\sim$

• $\Delta AHD\sim\Delta PKT$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta EFG\sim\Delta EML$ by $SAS\sim$

• $\Delta EFG\sim\Delta ELM$ by $SSS\sim$

• $\Delta EFG\sim\Delta EML$ by $SSS\sim$

• $\Delta EFG\sim\Delta EML$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta DEF\sim\Delta DRS$ by $SAS\sim$

• $\Delta DEF\sim\Delta RDS$ by $AA\sim$

• $\Delta DEF\sim\Delta DRS$ by $SSS\sim$

• $\Delta DEF\sim\Delta RDS$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta RST\sim\Delta RHG$ by $SAS\sim$

• $\Delta RST\sim\Delta RHG$ by $SSS\sim$

• $\Delta RST\sim\Delta GHR$ by $SAS\sim$

• $\Delta RST\sim\Delta RGH$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta LMN\sim\Delta LGF$ by $SAS\sim$

• $\Delta LMN\sim\Delta GLF$ by $AA\sim$

• $\Delta LMN\sim\Delta GLF$ by $SAS\sim$

• $\Delta LMN\sim\Delta LGF$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta JKL\sim\Delta JCD$ by $SAS\sim$

• $\Delta JKL\sim\Delta JDC$ by $SAS\sim$

• $\Delta JKL\sim\Delta DCJ$ by $SAS\sim$

• $\Delta JKL\sim\Delta CJD$ by $SAS\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta JKL\sim\Delta ABC$ by $SSS\sim$

• $\Delta JKL\sim\Delta BCA$ by $SSS\sim$

• $\Delta JKL\sim\Delta CAB$ by $SSS\sim$

• $\Delta JKL\sim\Delta BCA$ by $SSS\sim$

Answer explanation

The order of the points matter! The endpoints of the shortest sides have to line up! Same with the longest sides!

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta LMN\sim\Delta EFG$ by $SSS\sim$

• $\Delta LMN\sim\Delta EFG$ by $SAS\sim$

• $\Delta LMN\sim\Delta EFG$ by $AA\sim$

• $\Delta LMN\sim\Delta FEG$ by $SSS\sim$

Answer explanation

The order of the points matter! The endpoints of the shortest sides have to line up! Same with the longest sides!

Tags

CCSS.HSG.SRT.B.5