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. ∆!"# ≅ ∆ _________ by ____________ b. ∆!"# ≅ ∆ _________ by ____________ c. ∆!"# ≅ ∆ _________ by ____________ 2. In the accompanying diagram, line ℓ is parallel to line m, and line t is a transversal. Which must be a true statement? A 180 4 1 = ∠ + ∠ m m B 180 6 3 = ∠ + ∠ m m C 180 8 1 = ∠ + ∠ m m D 180 5 2 = ∠ + ∠ m m 3. In the accompanying figure, what is one pair of alternate interior angles? A ∠ 1 and ∠ 2 B ∠ 4 and ∠ 6 C ∠ 4 and ∠ 5 D ∠ 6 and ∠ 8 4. What is !∠1? 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°. What is the measure of x? A 138° B 84° C 96° D 48° 6. What is !∠!? 7. What is the measure of the largest angle in the accompanying triangle? A 41 B 56 C 46.5 D 83 B A C F D E
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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&
____________&
b.&
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∆!"# ≅ ∆&_________&by&
____________&
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!
Allison Hahn
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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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