Review: Congruence

If $\angle L\cong\angle N$ , what else is needed to prove  $\Delta KLM\cong\Delta PNM$  using the Angle-Side-Angle rule? 

•  $\overline{LM}\cong\overline{NM}$  

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

•  $\overline{LK}\cong\overline{NP}$  

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

Tags

CCSS.HSG.SRT.B.5

Britany is constructing the following triangles and draws  $\overline{VR}$ parallel to  $\overline{ST}$  .

According to the SAS theorem, which of the following needs to be true to show  $\Delta VRT\cong\Delta STR?$  

•  $\overline{TV}\cong\overline{RS}$  

•  $\overline{VR}\cong\overline{ST}$  

•  $\overline{VR}\cong\overline{ST}$  and  $\angle RVT\cong\angle SRT$  

•  $\angle RVT\cong\angle TSR$  

Tags

CCSS.HSG.SRT.B.5

 According to the ASA theorem, which of the following sets of relationships can be used to show that $\Delta VRT$ and  $\Delta STR$  are congruent?

•  $\angle SRT\cong\angle VTR\ and\ \angle STR\cong\angle VRT$  

•  $\angle TVR\cong\angle RST\ and\ \overline{VR}\cong\overline{ST}$  

•  $\angle SRT\cong\angle VTR\ and\ \overline{SR}\cong\overline{VT}$  

•  $\angle SRT\cong\angle VTR\ and\ \angle SRT\cong\angle VRT$  

Tags

CCSS.HSG.SRT.B.5

Triangle A’B’C’ is the result of a transformation of triangle ABC.

Select the statements that justify why triangle A’B’C’ is congruent to triangle ABC.

• The figure was not dilated

• The figure was reflected and translated

• The transformations applied to triangle ABC were rigid transformations.

• By definition, an image is always congruent to its pre-image.

• The transformations applied to triangle ABC were not rigid transformations

Tags

CCSS.8.G.A.3

Is triangle DEF congruent to triangle XYZ?

• Yes. Triangle DEF was reflected across its side FE and translated 8 units to the left to create triangle XYZ.

• Yes. Triangle DEF was reflected across its side FE and translated 2 units to the left to create triangle XYZ.

• Yes. Triangle DEF was reflected across its side DF and translated 8 units to the left to create triangle XYZ.

• No. Triangle DEF is not congruent to triangle XYZ.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If $\angle H\cong\angle K$ , which of the following conditions must also be met to prove that  $\Delta GHJ\cong\Delta LKJ$  by  Angle-Angle-Side rule?

1.  $\overline{HJ}\cong\overline{KJ}$  
2.  $\overline{HJ}\cong\overline{LJ}$  
3.  $\overline{GH}\cong\overline{LK}$  
4.  $\overline{GJ}\cong\overline{LJ}$  

• 1 or 3 only

• 1 only

• 2 only

• 3 or 4 only

Tags

CCSS.HSG.SRT.B.5

According to the SSS theorem, which of the following needs to be true to show $\Delta VRT\cong\Delta STR$  ?

•  $\angle STR\cong\angle VTR$  and  $\overline{ST}\cong\overline{RV}$  

•  $\overline{TV}\cong\overline{RS}$  and  $\overline{VR}\ \cong\overline{ST}$  

•  $\overline{VR}\cong\overline{RS}$  and  $\overline{TV}\cong\overline{ST}$  

•  $\overline{RS}\cong\overline{TV}$  and  $\angle RTS\cong\angle RVT$  

Tags

CCSS.HSG.SRT.B.5

Which additional measure is needed to prove these triangles are congruent?

• $\angle B\cong\angle E$

• $\overline{BC}\cong\overline{EF}$

• $\overline{AB}\cong\overline{DE}$

Tags

CCSS.HSG.SRT.B.5

Which additional measure is needed to prove these triangles are congruent?

• $\angle B\cong\angle E$

• $\overline{BC}\cong\overline{EF}$

• $\overline{AB}\cong\overline{DE}$

Tags

CCSS.HSG.SRT.B.5

Which additional measure is needed to prove these triangles are congruent?

• $\angle B\cong\angle E$

• $\overline{BC}\cong\overline{EF}$

• $\overline{AB}\cong\overline{DE}$

Tags

CCSS.HSG.SRT.B.5