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# Understanding Similar and Congruent Triangles (Grade 10)

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## Understanding Similar and Congruent Triangles

1.
In triangle $ABC$ $angA=30deg$ and $ang B=112deg$. In triangle $DEF$ $angF=38deg$ and $ang D=30deg$. The triangles are similar.
1. True
2. False
2.
In triangle $ABC$ $angA=30deg$ and $ang C=45deg$. In triangle $DEF$ $angE=15deg$ and $ang D=45deg$. The triangles are similar.
1. True
2. False
3.
Are these two triangles similar?
Triangle ABC: $ang A=28, ang B=91$
Triangle DEF: $ang D=28, ang E=61$
1. Yes, the triangles are similar.
2. No, the triangles are not similar.
4.
In triangles $ABC$ and $DEF,$ $bar(AC) = bar(ED)$, $ang D= ang C$, and $ang B = ang F$. The two triangles are congruent.
1. True
2. False
5.
In triangle $ABC$ $angA=60deg$ and $ang C=90deg$. In triangle $DEF$ $angE=30deg$ and $ang D=80deg$. The two triangles are similar.
1. True
2. False
6.
In triangle $ABC$ $angA=15deg$ and $ang C=118deg$. In triangle $DEF$ $angE=47deg$ and $ang D=15deg$. 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. $STR ~= TUV$
2. $TRS ~=UVT$
3. $bar (TR) ~= bar(UV)$
4. $ang U ~= ang R$
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 $Delta ABC ~= Delta EFG$, which of the following is true?
1. $angC ~= ang E$
2. $bar(AC) ~= bar(EG)$
3. $bar(BC) ~= bar(GE)$
4. $ang A ~= ang F$
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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