unit 1 quiz – proofs & triangle congruency

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&not,&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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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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