Congruence Statements (Online Tutorial #20)

Congruence Statements

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• Congruent triangles have the same shape and size.

• Think "copy and paste".

• ​This means that all corresponding parts (angles and side lengths) are congruent

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​Congruent Triangles

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​The Symbol for Congruent

​Read as "is congruent to".

Drag and Drop

If two triangles are ​

Placeholder

then all pairs of corresponding sides and angles are congruent.

Drag these tiles and drop them in the correct blank above

congruent

similar

dilated

friends

Match

Match the following symbols to their meaning.

Congruent

Parallel

Perpendicular

Triangle

Point

• Congruent

• Parallel

• Perpendicular

• Triangle

• Point

When Triangles are congruent, we can write a congruency statement​

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​Congruence Statements

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​How a Congruence Statement works:

​Order Matters!

Multiple Choice

If ∆CAB≅∆FED , then $$\angle C\cong\angle F$$  

• True

• False

Multiple Choice

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____ 

• $$L$$  

• $$\angle L$$  

• $$\angle T$$  

• T

Multiple Choice

If $$\Delta MAN\cong\Delta BOY$$ , which of the following statements are true?

• $$\overline{MA}\cong\overline{BO}$$  

• $$\overline{AN}\cong\overline{BY}$$  

• $$\overline{BO}\cong\overline{NA}$$  

• $$\overline{MN}\cong\overline{BO}$$  

Multiple Select

$$\Delta PET\cong\Delta DOG$$  

Which of the following are TRUE 

• $$\angle P\cong\angle D$$  

• $$\overline{TE}\cong\overline{GO}$$  

• $$\angle T\cong\angle O$$  

• $$\overline{TP}\cong\overline{GD}$$  

• $$\overline{TE}\cong\overline{OG}$$  

Multiple Choice

Use the congruency statement to answer the following: 
<F = ___

• <H
• <I
• <G
• not congruent to another angle

Multiple Choice

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

• ∠K
• ∠M
• ∠L
• ∠Z

Multiple Choice

• A
• B
• C
• D

Multiple Choice

∆EHG≅∆KFC
Which is a true statement?

• EH≅FK
• HG≅KF
• EG≅KC
• ∠E≅∠C

Multiple Choice

Given

$$\Delta JKL\cong\Delta XYZ$$  ,  $$\overline{JK}\ \cong\ ?$$  

• $$\overline{YZ}$$  

• $$\overline{XZ}$$  

• $$\overline{XY}$$  

• none of the above

Multiple Choice

Given 

$$\Delta ABC\ \cong\Delta DEF\$$   $$\overline{CA}\ \cong\ ?$$  

• $$\overline{DE}$$  

• $$\overline{EF}$$  

• $$\overline{DF}$$  

• $$\overline{FD}$$  

Multiple Choice

Given

$$\Delta CDE\cong\Delta FGH$$   which is true?

• $$\overline{DE}\cong\overline{FG}$$  

• $$\overline{CE}\cong\overline{FH}$$  

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

• $$\overline{DE}\cong\overline{FH}$$  

Multiple Choice

Given 

$$\Delta ABC\ \cong\Delta DEF\$$   $$\angle C\ \cong\ ?$$  

• $$\angle D$$  

• $$\angle E$$  

• $$\angle F$$  

• $$\angle A$$  

Multiple Choice

Given 

$$\Delta ABC\ \cong\Delta DEF\$$   $$\overline{CA}\ \cong\ ?$$  

• $$\overline{DE}$$  

• $$\overline{EF}$$  

• $$\overline{DF}$$  

• $$\overline{FD}$$  

Multiple Choice

Given 

$$\Delta ABC\ \cong\Delta DEF\$$   $$\overline{BC}\ \cong\ ?$$  

• $$\overline{DE}$$  

• $$\overline{EF}$$  

• $$\overline{DF}$$  

• $$\overline{FE}$$  

Multiple Choice

∆EHG≅∆KFC
Which is a true statement?

• EH≅FK
• HG≅KF
• EG≅KC
• ∠E≅∠C

Multiple Choice

If ∆PIG ≅ ∆COW, WO≅?

• GI
• PI
• PG

Multiple Choice

∆ABC≅∆XYZ
which is true?

• AB≅XY
• AB≅YX
• AB≅XZ
• BC≅CB