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Understanding Similar and Congruent Triangles (Grade 10)

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Understanding Similar and Congruent Triangles

1. 
In triangle [math]ABC[/math] [math]angA=30deg[/math] and [math]ang B=112deg[/math]. In triangle [math]DEF[/math] [math]angF=38deg[/math] and [math]ang D=30deg[/math]. The triangles are similar.
  1. True
  2. False
2. 
In triangle [math]ABC[/math] [math]angA=30deg[/math] and [math]ang C=45deg[/math]. In triangle [math]DEF[/math] [math]angE=15deg[/math] and [math]ang D=45deg[/math]. The triangles are similar.
  1. True
  2. False
3. 
Triangle ABC: [math]ang A=28, ang B=91 [/math]
Triangle DEF: [math]ang D=28, ang E=61 [/math]
These 2 triangles are similar.
  1. True
  2. False
4. 
In triangles [math]ABC[/math] and [math]DEF,[/math] [math]bar(AC) = bar(ED)[/math], [math]ang D= ang C[/math], and [math]ang B = ang F[/math]. The two triangles are congruent.
  1. True
  2. False
5. 
In triangle [math]ABC[/math] [math]angA=60deg[/math] and [math]ang C=90deg[/math]. In triangle [math]DEF[/math] [math]angE=30deg[/math] and [math]ang D=80deg[/math]. The two triangles are similar.
  1. True
  2. False
6. 
In triangle [math]ABC[/math] [math]angA=15deg[/math] and [math]ang C=118deg[/math]. In triangle [math]DEF[/math] [math]angE=47deg[/math] and [math]ang D=15deg[/math]. The two triangles are similar.
  1. True
  2. False
7. 
If triangle TRS is congruent to triangle TUV, which of the following is true?
  1. [math]STR ~= TUV[/math]
  2. [math]TRS ~=UVT[/math]
  3. [math]bar (TR) ~= bar(UV)[/math]
  4. [math]ang U ~= ang R[/math]
8. 
Triangle KLM is congruent to Triangle KBC. Side MK is congruent to which side of Triangle KBC?
  1. BC
  2. BK
  3. CK
  4. KB
9. 
If [math] Delta ABC ~= Delta EFG [/math], which of the following is true?
  1. [math] angC ~= ang E [/math]
  2. [math] bar(AC) ~= bar(EG)[/math]
  3. [math] bar(BC) ~= bar(GE)[/math]
  4. [math] ang A ~= ang F [/math]
10. 
If no side lengths are known, two triangles can be proven to be similar as long as at least            angles are known.
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