samuelde35
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Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:


Statements Reasons
∠QRY ≅ ∠PQR Alternate Interior Angles Theorem
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
m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY Substitution
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?
The measure of angle ZRY equals 180° by definition of supplementary angles.
Angles QRY and PQR should be proven congruent after 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.

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okpalawalter8

A two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°

  • Line YZ should be drawn parallel to PQ

What means that lines are parallel to each other

We say that two lines (on the same plane) are parallel to each other if they never intersect each other, regardless of how far they are extended on either side.

YZ is drawn parallel to PQ through the point R

<ZRP + <PRQ + <QRY = <ZRY

<ZRP = <RPQ [YZ // PQ]

<QRY = <PQR [YZ // PQ]

From the above,

<PQR + <RPQ + <PRQ = <ZRY = [tex]180^o[/tex]

For more information on angles, visit

https://brainly.com/question/24607467

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