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Mathematics, 28.10.2019 22:31 isaiahrodriguezsm17
Below is a two-column proof incorrectly proving that the three angles of δpqr sum to 180°:
statements reasons
∠qry ≅ ∠pqralternate 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?
a.) the measure of angle zry equals 180° by definition of supplementary angles.
b.) angles qry and pqr should be proven congruent after 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 qr.
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Answers: 2
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Below is a two-column proof incorrectly proving that the three angles of δpqr sum to 180°:
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