Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:

Statements Reasons
Draw line ZY parallel to segment PQ Construction
m∠ZRP + m∠PRQ + m∠QRY = m∠ZRY Angle Addition Postulate
∠ZRP ≅ ∠RPQ Alternate Interior Angles Theorem
∠QRY ≅ ∠PQR Alternate Interior Angles Theorem
m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY Substitution
m∠ZRY = 180° Definition of Supplementary Angles
m∠RPQ + m∠PRQ + m∠PQR = 180° Substitution

Which statement will accurately correct the two-column proof?
The measure of angle ZRY equals 180° by definition of a straight angle.
Angles QRY and PQR should be proven congruent before the construction of line ZY.
The three angles of ΔPQR equal 180° according to the Transitive Property of Equality.
Line ZY should be drawn parallel to segment QR.

Question

Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:

Statements	Reasons
Draw line ZY parallel to segment PQ	Construction
m∠ZRP + m∠PRQ + m∠QRY = m∠ZRY	Angle Addition Postulate
∠ZRP ≅ ∠RPQ	Alternate Interior Angles Theorem
∠QRY ≅ ∠PQR	Alternate Interior Angles Theorem
m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY	Substitution
m∠ZRY = 180°	Definition of Supplementary Angles
m∠RPQ + m∠PRQ + m∠PQR = 180°	Substitution

Which statement will accurately correct the two-column proof?
 The measure of angle ZRY equals 180° by definition of a straight angle.
 Angles QRY and PQR should be proven congruent before the construction of line ZY.
 The three angles of ΔPQR equal 180° according to the Transitive Property of Equality.
 Line ZY should be drawn parallel to segment QR.

gokrazy223 · Answer

@dude

pooja195 · Answer

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