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Which fact is not used to prove that pqr is similar to str?

22/12/2020 Client: saad24vbs Deadline: 10 Days

User: Aariella Albury E-Mail: alburya@learnft.flvs.net In Course: GEO ( 4498) Instructor: Kelly Dale


Exam: 05.02 Module Five Quiz


Warning There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.


Question 1 (Multiple Choice Worth 5 points) (05.01 MC)


In ΔABC shown below, :


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The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side:


Which reason can be used to fill in the numbered blank space?


1. ∠BDE ≅ ∠BAC 2. Corresponding Angles Postulate


1. ∠BDE ≅ ∠BAC 2. Corresponding Parts of Similar Triangles


1. ∠BDE ≅ ∠BCA 2. Alternate Exterior Theorem


1. ∠BDE ≅ ∠BCA 2. Corresponding Parts of Similar Triangles


Question 2 (Multiple Choice Worth 5 points) 


(05.01 MC)


Use ΔPQR below to answer the question that follows:


Which fact is not used to prove that PQR is similar to STR?


Segments ST and PQ are parallel.


Angle P is congruent to itself due to the reflexive property.


RP is a transversal line passing ST and PQ.


Angles RTS and RQP are congruent due to the Corresponding Angles Postulate.


Question 3 (Multiple Choice Worth 5 points) (05.01 MC)


Given: ΔABC is a right triangle. Prove: a + b = c




2 2 2


The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles:


Statement Justification


Draw an altitude from point C to


Let = a = b = c = h = x = y




y + x = c




a = cy; b = cx


a + b = cy + b


a + b = cy + cx


a + b = c(y + x)


a + b = c(c)


a + b = c


Which is not a justification for the proof?


2 2


2 2 2


2 2


2 2


2 2


2 2 2


Pieces of Right Triangles Similarity Theorem


Side-Side-Side Similarity Theorem


Substitution


Addition Property of Equality


Question 4 (Multiple Choice Worth 5 points) (05.01 MC)


In ΔABC shown below, is parallel to :


The following two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally:


Statement Reason


1. 1. Given


2. is a transversal that intersects two parallel lines.


2. Conclusion from Statement 1.


3. 3.


4. ∠B ≅ ∠B 4. Reflexive Property of Equality




Previous Question Question 1 (Not Answered) 0




Next Question


5. 5.


6. 6. Converse of the Side-Side-Side Similarity Theorem


Which statement and reason accurately completes the proof?


3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate


3. ΔBDE ~ ΔBAC; Corresponding Angles Postulate 5. ∠BDE ~ ∠BAC; Angle-Angle (AA) Similarity Postulate


3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate


3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate 5. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate


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