unit 1 quiz – proofs & triangle congruency
TRANSCRIPT
Unit 1 Quiz – Proofs & Triangle Congruency Name:&&_____________________________&!
1.&&Determine&if&the&following&two&triangles&are&congruent.&&If&so,&write&the&congruency&statement&and&the&
theorem&that&justifies&the&congruency.&&If¬,&write&NO&in&both&blanks.&
a.&&&
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∆!"# ≅ ∆&_________&by&
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b.&
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∆!"# ≅ ∆&_________&by&
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c.&&&
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∆!"# ≅ ∆&_________&by&
____________&
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2.&&In&the&
accompanying&
diagram,&line&ℓ&is&
parallel&to&line&m,&
and&line&t&is&a&
transversal.&
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Which&must&be&a&true&statement?&
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!!!!!!!A&& 18041 =∠+∠ mm &&&&&&&&&B& 18063 =∠+∠ mm &
!!!!!!!C&& 18081 =∠+∠ mm &&&&&&&&&D& 18052 =∠+∠ mm &
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3.&&&
In&the&
accompanying&
figure,&what&is&one&
pair&of&alternate&
interior&angles?&
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!!!!!!!A&∠ 1&and&∠ 2&& & B&∠ 4&and&∠ 6&
!!!!!!!C&∠ 4&and&∠ 5&& & D&∠ 6&and&∠ 8&
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4.&&What&is&!∠1?&
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5.&&The&accompanying&diagram&shows&the&roof&of&a&
house&that&is&in&the&shape&of&an&isosceles&triangle.&&
The&vertex&angle&formed&at&the&peak&of&the&roof&is&84°.&
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What&is&the&measure&of&x?&
&&&&&&A&&138°&&&&&&&&&&&&&B&&84°&
&&&&&&C&&96°&&&&&&&&&&&&&&&D&&48°&
6.&&What&is&!∠!?&
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7.&&What&is&the&measure&of&the&largest&angle&in&the&
accompanying&triangle?&
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A&&41&& &&&&&&&B&&56&
C&&46.5&&&&&&&&D&&83&
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B!
A! C!F!
D!
E!
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10.&
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Statements& & &&&&&&&&Reasons&
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11.&
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8.&&Given:&! ∥ !&and&! ∥ !&
&&&&&Prove:&∠2 ≅ ∠15&
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Statements& & &&&&&&&&Reasons&
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9.&&Given:&3 ! + 7 = 2! − 4&
&&&&Prove:&&! = −13&
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Statements& & &&&&&&&&&&&Reasons&
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