#5.3 Proving Triangle Congruence by SAS

Is there enough information to prove that these two triangles are congruent by Side-Angle-Side Congruence Theorem?

• Yes

• No

Is there enough information to prove that these two triangles are congruent by Side-Angle-Side Congruence Theorem?

• Yes

• No

Name two congruent triangles.

• $\Delta ABE\cong\Delta CDE$

• $\Delta ABE\cong\Delta CBE$

• $\Delta CBE\cong\Delta CED$

• None of the triangles are congruent.

• FG≌JK
• ∠FGH≌∠JKH
• ∠GFH≌∠KJH
• ∠GHF≌∠KHJ

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

• Alternate Interior Angles
• Third Angle Theorem
• Vertical Angles
• They both have an "H"

Tags

CCSS.HSG.CO.C.9

• Vertical Angles
• Symmetric Property
• Reflexive Property
• Transitive Property

• AC≌BC
• AD≌BD
• AC≌CD
• BC≌CD

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

What is still needed to make  $\Delta JNK\cong\Delta MNL$  by SAS?

•  $<JNK\cong<MNL$  

•  $\overline{JK}\cong\overline{ML}$  

•  $\overline{KL}\cong\overline{KL}$  

•  $<KJN\cong<LMN$  

What is still needed to make  $\Delta ABC\cong\Delta CBD$  by SAS?

•  $<BAD\cong<BCD$  

•  $\overline{AD}\cong\overline{CD}$  

•  $\overline{BD}\cong\overline{BD}$  

•  $<BDA\cong<BDC$  

Name the included angle between $\overline{AC}$ and  $\overline{CB}$   

•  $<CAB$  

•  $<BCD$  

•  $<DCA$  

•  $<BCA$