Questão 1
Questão
Determine the following angle measures. Use mathematics to justify your answers.
m<e = [blank_start]61[blank_end]
Questão 2
Questão
Determine the following angle measures. Use mathematics to justify your answers.
m<f = [blank_start]30[blank_end]
Questão 3
Questão
Determine the following angle measures. Use mathematics to justify your answers.
m<g= [blank_start]151[blank_end]
Questão 4
Questão
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]
Questão 5
Questão
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]
Questão 6
Questão
Given ∠ADB ≅ ∠CDB, and DB is perpendicular to AC, complete the proof:
Responda
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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
Questão 7
Questão
Given ∠A ≅ ∠C and AD ≅ CB; complete the following proof:
Responda
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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
Questão 8
Questão
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Responda
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Not Similar
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SSS Similarity
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AA Similarity
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SAS Similarity
Questão 9
Questão
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Responda
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SAS Similarity
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AA Similarity
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SSS Similarity
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Not Similar
Questão 10
Questão
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Responda
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SSS Similarity
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SAS Similarity
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AA Similarity
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Not Similar
Questão 11
Questão
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Responda
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Not Similar
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AA Similarity
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SAS Similarity
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SSS Similarity
Questão 12
Questão
Determine if the triangles are similar. If they are similar, identify the similarity criteria that can be used and write the similarity statement.
Responda
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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
Questão 13
Questão
Fill in the following blanks by dragging in the correct answers.
Responda
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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
Questão 14
Questão
Use the drop down menus to answer the following questions.
Responda
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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