Mathematics, 19.01.2021 01:00, thegent3473
Below is a two-column proof incorrectly proving that the three angles of ΔPQR sum to 180°:
StatementsReasons
Draw line ZY parallel to segment QRConstruction
m∠ZRP + m∠PRQ + m∠QRY = m∠ZRYAngle Addition Postulate
∠ZRP ≅∠RPQAlternate Interior Angles Theorem
∠QRY ≅∠PQRAlternate Interior Angles Theorem
m∠RPQ + m∠PRQ + m∠PQR = m∠ZRYSubstitution
m∠ZRY = 180°Definition of a Straight Angle
m∠RPQ + m∠PRQ + m∠PQR = 180°Substitution
Which statement will accurately correct the two-column proof? (5 points)
Select one:
a.
The measure of angle ZRY equals 180° by definition of supplementary angles.
b.
Angles QRY and PQR should be proven congruent before the construction of line ZY.
c.
The three angles of ΔPQR equal 180° according to the Transitive Property of Equality.
d.
Line ZY should be drawn parallel to segment PQ.
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Below is a two-column proof incorrectly proving that the three angles of ΔPQR sum to 180°:
Statemen...
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