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Unit 2 β Similarity, Congruence, and Proofs
Review Quiz #5 Congruent Triangles
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β πβ
β π FALSE β πβ
β π FALSE β πβ
β π FALSE β πβ
β π TRUE
Question 1 βπππ and βπππ are congruent triangles. Tell whether each statement is true or false. β πβ
β π FALSE β πβ
β π FALSE β πβ
β π FALSE β πβ
β π TRUE
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Question 2 Which set of equivalent measures does not indicate that two triangles must be congruent? angle-angle-angle angle-side-angle side-angle-side angle-angle-side a. angle-angle-angle
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π΄π΅ β
π΅πΆ FALSE π΄π΅ β
πΈπΉ FALSE π΄πΆ β
π·πΉ TRUE π΄π΅ β
π·πΉ FALSE
Question 3 βπ΄π΅πΆ and βπ·πΈπΉ are congruent triangles. Tell whether each statement is true or false. π΄π΅ β
π΅πΆ FALSE π΄π΅ β
πΈπΉ FALSE π΄πΆ β
π·πΉ TRUE π΄π΅ β
π·πΉ FALSE
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Question 4 A triangle congruent to βπ΄π΅πΆ is to be constructed. Only three components are measured. Which three components, if constructed in the order listed, will always create a congruent triangle? side-side-angle angle-angle-angle angle-side-angle Only the three side lengths can be used to create a congruent triangle. c. angle-side-angle
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It cannot be determined if the triangles are congruent.
Question 5 For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given: β π΄β
β π·, β π΅β
β πΈ, β πΆβ
β πΉ. By which triangle congruence statement can it be concluded that the triangles are congruent? It cannot be determined if the triangles are congruent.
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π·πΈ β
ππ FALSE π·πΉ β
ππ FALSE π·πΉ β
ππ FALSE π·πΈ β
ππ TRUE
Question 6 βπ·πΈπΉ and βπππ are congruent triangles. Tell whether each statement is true or false. π·πΈ β
ππ FALSE π·πΉ β
ππ FALSE π·πΉ β
ππ FALSE π·πΈ β
ππ TRUE
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Question 7 βπ·πΈπΉ and βπΊπ»πΌ are congruent triangles where β πΉβ
β πΌ. Which pairs of congruent components also indicate that the two triangles are congruent? β Dβ
β G and DF β
HI FE β
HI and DE β
GH β Dβ
β G and DF β
GI β Dβ
β G and β Eβ
β H c. β Dβ
β G and DF β
GI
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It cannot be determined if the triangles are congruent.
Question 8 For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given: β πΆβ
β πΉ, π΄π΅ β
π·πΈ , and π΅πΆ β
πΈπΉ . By which triangle congruence statement can it be concluded that the triangles are congruent? It cannot be determined if the triangles are congruent.
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β πβ
β π FALSE β π΄β
β π΅ FALSE β π΄β
β π FALSE β π΅β
β π TRUE
Question 9 βπ΄π΅πΆ and βπππ are congruent triangles. Tell whether each statement is true or false. β πβ
β π FALSE β π΄β
β π΅ FALSE β π΄β
β π FALSE β π΅β
β π TRUE
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FALSE βπΉπ»π½β
βπ
ππ βπΉπ½π»β
βπππ
FALSE βπΉπ»π½β
βπππ
TRUE βπΉπ»π½β
βπ
ππ FALSE
Question 10 If there are two triangles for which πΉπ» β
ππ , π»π½ β
ππ
, and πΉπ½ β
ππ
, tell whether each statement is true or false. FALSE βπΉπ»π½β
βπ
ππ βπΉπ½π»β
βπππ
FALSE βπΉπ»π½β
βπππ
TRUE βπΉπ»π½β
βπ
ππ FALSE
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For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given:
Question 11 For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given: β πΆβ
β πΉ, π΅πΆ β
πΈπΉ , and π΄πΆ β
π·πΉ . By which triangle congruence statement can it be concluded that the triangles are congruent? SAS
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For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given:
Question 12 For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given: π΄π΅ β
π·πΈ , π΅πΆ β
πΈπΉ , and π΄πΆ β
π·πΉ . By which triangle congruence statement can it be concluded that the triangles are congruent? SSS
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Question 13 Which set of equivalent measures does not indicate that two triangles must be congruent? angle-side-angle side-angle-side angle-angle-angle angle-angle-side c. angle-angle-angle
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Question 14 A triangle congruent to βπ·πΈπΉ is to be constructed. Only three components are measured. Which three components, if constructed in the order listed, will always create a congruent triangle? side-angle-side side-side-angle angle-angle-angle Only the three side lengths can be used to create a congruent triangle. a. side-angle-side
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For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given:
Question 15 For βπ΄π΅πΆ and βπ·πΈπΉ, the following is given: β π΄β
β π·, β π΅β
β πΈ, and π΄π΅ β
π·πΈ . By which triangle congruence statement can it be concluded that the triangles are congruent? ASA
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