Below is a two-column proof incorrectly proving that the three angles of APQR add up to 180°: Statements Reasons Draw line ZY parallel to PQ Construction MLZRP + MZPRQ + MZQRY = mZZRY Angle Addition Postulate %3D LZRP E ZRPQ Alternate Interior Angles Theorem ZQRY E ZPQR Alternate Interior Angles Theorem MZRPQ + MZPRQ + MZPQR = MLZRY Substitution MZZRY = 180° Definition of a Straight Angle MZRPQ + mzPRQ + MZPQR = 180° Additive Property of Equality Which statement will accurately correct the two-column proof? The measure of angle ZRY equals 180° by definition of supplementary angles. O Angles QRY and PQR should be proven congruent before the construction of line ZY. O The three angles of APQR equal 180° according to Substitution. O Line ZY should be drawn parallel to segment QR.
Below is a two-column proof incorrectly proving that the three angles of APQR add up to 180°: Statements Reasons Draw line ZY parallel to PQ Construction MLZRP + MZPRQ + MZQRY = mZZRY Angle Addition Postulate %3D LZRP E ZRPQ Alternate Interior Angles Theorem ZQRY E ZPQR Alternate Interior Angles Theorem MZRPQ + MZPRQ + MZPQR = MLZRY Substitution MZZRY = 180° Definition of a Straight Angle MZRPQ + mzPRQ + MZPQR = 180° Additive Property of Equality Which statement will accurately correct the two-column proof? The measure of angle ZRY equals 180° by definition of supplementary angles. O Angles QRY and PQR should be proven congruent before the construction of line ZY. O The three angles of APQR equal 180° according to Substitution. O Line ZY should be drawn parallel to segment QR.
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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Transcribed Image Text:Below is a two-column proof incorrectly proving that the three angles of APQR add up to 180°:
Statements
Reasons
Draw line ZY parallel to PO
Construction
MZZRP + MZPRQ + MZQRY = MZZRY Angle Addition Postulate
ZZRP E ZRPQ
Alternate Interior Angles Theorem
ZQRY E ZPQR
Alternate Interior Angles Theorem
MZRPQ + MPRQ + MZPQR = M<ZRY Substitution
MZZRY = 180°
Definition of a Straight Angle
MZRPQ + M2PRQ + MPQR = 180°
Additive Property of Equality
Which statement will accurately correct the two-column proof?
O The measure of angle ZRY equals 180° by definition of supplementary angles.
O Angles QRY and PQR should be proven congruent before the construction of line ZY.
O The three angles of APQR equal 180° according to Substitution.
O Line ZY should be drawn parallel to segment QR.
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