Given: S is the midpoint of RT ; PR = PT Prove: APRS = APTS Statements Reasons S is the midpoint of RT RS = TS PR E PS PS 2 PS ΔPRS ΔΡTS :: Alternate Interior Angles :: Corresponding Angles :: Definition of Angle Bisector : Definition of Midpoint :: Given :: Reflexive Property :: Vertical Angles Theorem :: SS : SAS

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I need help with given and prove reasons.

Given: S is the midpoint of RT ; PR = PT
Prove: APRS = APTS
Statements
Reasons
S is the midpoint of RT
RS = TS
PR E PS
PS 2 PS
ΔPRS ΔΡTS
:: Alternate Interior Angles
:: Corresponding Angles
:: Definition of Angle Bisector
: Definition of Midpoint
:: Given
:: Reflexive Property
:: Vertical Angles Theorem
:: SS
: SAS
Transcribed Image Text:Given: S is the midpoint of RT ; PR = PT Prove: APRS = APTS Statements Reasons S is the midpoint of RT RS = TS PR E PS PS 2 PS ΔPRS ΔΡTS :: Alternate Interior Angles :: Corresponding Angles :: Definition of Angle Bisector : Definition of Midpoint :: Given :: Reflexive Property :: Vertical Angles Theorem :: SS : SAS
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