7285185
Description
Quiz by Cassidy Paine, updated more than 1 year ago
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Created by Cassidy Paine
almost 8 years ago
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Question 1
Question
Determine the following angle measures. Use mathematics to justify your answers.
m<e = [blank_start]61[blank_end]
Answer
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51
Question 2
Question
Determine the following angle measures. Use mathematics to justify your answers.
m<f = [blank_start]30[blank_end]
Answer
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30
Question 3
Question
Determine the following angle measures. Use mathematics to justify your answers.
m<g= [blank_start]151[blank_end]
Answer
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143
Question 4
Question
Given distinct lines AD, FC, and EB intersect at point P. Solve for the variable or angle measurement identified below. Justify each answer using what you know about special angle relationships.
x = [blank_start]39[blank_end]
y = [blank_start]123[blank_end]
measure of angle EPF = [blank_start]29[blank_end]
measure of angle CPD = [blank_start]28[blank_end]
measure of angle CPB = [blank_start]29[blank_end]
measure of angle BPA = [blank_start]123[blank_end]
measure of angle APF = [blank_start]28[blank_end]
Answer
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39
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123
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29
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28
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29
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123
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28
Question 5
Question
Given distinct lines SQ and RN intersect at point P and PM is perpendicular to SQ. Solve for the variable or angle measurement identified below. Justify each answer using what you know about special angle relationships.
y = [blank_start]20[blank_end]
measure of angle SPR = [blank_start]70[blank_end]
measure of angle NPQ = [blank_start]70[blank_end]
measure of angle MPN = [blank_start]20[blank_end]
measure of angle RPQ = [blank_start]110[blank_end]
Answer
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20
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70
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70
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20
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110
Question 6
Question
Given ∠ADB ≅ ∠CDB, and DB is perpendicular to AC, complete the proof:
Answer
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∠ADB ≅ ∠CDB and ∠ABD ≅ ∠CBD
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∠ABD ≅ ∠CBD
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given (1)
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∠ADB ≅ ∠CDB
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DB is perpendicular to AC
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DB is the bisector to AC
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DB is the perpendicular bisector of AC
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given (2)
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DB ≅ DB
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AB ≅ AB
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CB ≅ CB
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Reflexive Property
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∠DBC and ∠DBA are right angles
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Def. of perpendicular
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Def. of bisector
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∠DBA ≅∠DBC
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Def. of Right Angles
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Def. of Supplementary
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ΔABD ≅ ΔCBD
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ASA
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AAS
Question 7
Question
Given ∠A ≅ ∠C and AD ≅ CB; complete the following proof:
Answer
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∠A ≅ ∠C and AD ≅ CB
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∠A ≅ ∠C
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AD ≅ CB;
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given
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DB ≅ DB
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AB ≅ CD
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Reflexive Property
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Symmetric Property
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ΔABD ≅ ΔCDB
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SSA
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HL
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ASA
Question 8
Question
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Answer
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Not Similar
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SSS Similarity
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AA Similarity
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SAS Similarity
Question 9
Question
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Answer
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SAS Similarity
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AA Similarity
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SSS Similarity
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Not Similar
Question 10
Question
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Answer
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SSS Similarity
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SAS Similarity
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AA Similarity
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Not Similar
Question 11
Question
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Answer
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Not Similar
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AA Similarity
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SAS Similarity
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SSS Similarity
Question 12
Question
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Answer
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SAS Similarity
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SSS Similarity
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SAS or SSS Similarity
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AA Similarity
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Not Similar
Question 13
Question
Fill in the following blanks by dragging in the correct answers.
Answer
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ΔQRS ~ ΔQTU
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Given
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∠QRS ≅ ∠T
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∠R ≅ ∠T
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CASTC
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CPCTC
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RS is parallel to TU
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RS is perpendicular to TU
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RS is the midsegment
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Converse of Corresponding Angles
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Converse of Alternate Interior
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QR
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TU
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RS
Question 14
Question
Use the drop down menus to answer the following questions.
Answer
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AA Similarity
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SAS Similarity
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SSS Similarity
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60 feet
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50 feet
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30 feet
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70 feet
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