Introduction to Triangle Congruence

If two triangles are congruent, then every part of one triangle will have a corresponding part in the other triangle to which it is congruent. We say that "Corresponding Parts of Congruent Triangles are Congruent." What would be a great way to abbreviate this?

• CPCTC

• CTCPC

• PCTCC

• TCPCP

Since parts of congruent triangles have corresponding parts, we have to make sure that, when we name congruent triangles, the angles that correspond to one another line up in the names.  Given how the angles and sides are marked as congruent, which triangle is  $\Delta BCA$  congruent to?

•  $\Delta EFD$  

•  $\Delta DEF$  

•  $\Delta FED$  

•  $\Delta DFE$  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

In the figure, which part of  $\Delta DEF$  is a corresponding part to  $\overline{AC}$  ?

•  $\overline{DF}$  

•  $\angle D$  

•  $\overline{DE}$  

•  $\angle F$  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Figures that have the same _____ and size are congruent triangles. 

• corresponding
• corners
• angles
• shape

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

∠A ≅∠?

• ∠B
• ∠E
• ∠D
• ∠F

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

Choose the correct item to make the congruence statement true.

• A
• B
• C
• D

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

• 4m
• 5m
• 3m
• 4.5m

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

• A
• B
• C
• D

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

∆ABC≅∆XYZ
which is true?

• AB≅XY
• AB≅YX
• AB≅XZ
• BC≅CB

Tags

CCSS.HSG.CO.B.7

• A
• B
• C
• D

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5