Congruent Triangles - What Additional Information Is Needed?

Which additional piece of information would be needed to prove the triangles congruent using ASA?

• m<A = m<F

• AB = FE

• m<C = m<D

• AC = FD

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

For the given picture, what additional piece of information would be needed to prove triangle BAC is congruent to triangle DAC by SAS?

• m<BAC = m<DAC

• m<BDA = m<DCA

• m<ABC = m<ADC

• AC = AC

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

• SSS

• AAA

• ASA

• SSA

• AAS

Tags

CCSS.HSG.SRT.B.5

What additional information is needed to prove the two triangles are congruent by SAS?

• $\angle Q\ \cong\ \angle T$

• $\overline{QS}\ \cong\overline{TU}$

• $\overline{PR}\ \cong\ \overline{SU}$

• $\angle R\ \cong\ \angle\ U$

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What additional information is needed to prove the two triangles are congruent by ASA?

• $\overline{KN}\ \cong\overline{QM}$

• $\angle N\ \cong\angle M$

• $\overline{LN}\ \cong\ \overline{PM}$

• $\angle L\ \cong\ \angle P$

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What additional information is needed to prove the two triangles are congruent by AAS?

• $\angle B\ \cong\ \angle K$

• $\overline{AB}\ \cong\overline{LK}$

• $\angle A\ \cong\ \angle L$

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

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What is the correct congruence statement for these congruent triangles?

• ΔRTS ≅ΔEFD
• ΔRTS ≅ΔFDE
• ΔRTS ≅ΔFED
• ΔRTS ≅ΔDEF

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

What additional information would be needed to prove these triangles congruent by ASA? 

• There's already enough  information here.
• CB≅ZY
• CA≅ZX
• CB≅ZX

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

What additional information is needed to use the method stated?

• ∠F ≅ ∠X

• HF ≅ ZY

• HG ≅ YZ

• HG ≅ XZ

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What additional information is needed to use the method stated?

• ∠CDB ≅ ∠KDB

• CB ≅ KB

• CD≅ KD

• DB ≅ BD

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8