#5.5 Proving Triangles Congruent by SSS

Is $\Delta KGH\cong\Delta HJK$  true?

• Yes, by SSS

• No, there is not enough information

• Yes, by SAS

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Choose the correct congruence statement based on this image.

•  $\Delta UVW\cong\Delta XZY$  

•  $\Delta UVW\cong\Delta YXZ$  

•  $\Delta WVU\cong\Delta XYZ$  

• None of these are correct

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

Are the triangles congruent based on the given information?

• Yes, by SSS

• Yes, by SAS

• No, they are not congruent

• It cannot be determined.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Is the congruence statement true?

• Yes, by SSS

• Yes, by SAS

• No, the triangles are not congruent

• It cannot be determined

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Complete the proof

• SAS Congruence Theorem

• SSS Congruence Theorem

• HL Congruence Theorem

• None of the above

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Given $\overline{AC}$  bisects  $\overline{BD}$  what conclusion can you make from this information?

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

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

•  $\overline{AC}\cong\overline{AC}$  

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

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

What other piece of information do you need to use the HL Theorem of congruence to prove the triangles congruent?

• $\overline{QP}\cong\overline{SR}$

• $\overline{QR}\cong\overline{SP}$

• $\overline{PR}\cong\overline{PR}$

• The triangles cannot be proven congruent.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

What other piece of information do you need to use the SSS Theorem of congruence to prove the triangles congruent?

•  $\overline{SQ}\cong\overline{SQ}$ 

•  $\overline{PQ}\cong\overline{SR}$ 

•  $<SPQ\cong<QRS$ 

• The triangles cannot be proven congruent.

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Is there enough information to prove the triangles congruent by SSS?

• Yes, because they share the third side.

• No, there is not enough information.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Is the congruence statement true?

• Yes, by the HL Theorem

• Yes, by the SSS Theorem

• Yes, by the SAS Theorem

• No, the triangles cannot be proven congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5