Mathematics, 05.06.2020 07:02 rbgrh8183
Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:
StatementsReasons
∠QRY ≅ ∠PQRAlternate Interior Angles Theorem
Draw line ZY parallel to segment PQConstruction
m∠ZRP + m∠PRQ + m∠QRY = m∠ZRYAngle Addition Postulate
∠ZRP ≅ ∠RPQAlternate 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?
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.
Answers: 2
Mathematics, 21.06.2019 23:00, tfyvcu5344
The weight of a radioactive isotope was 96 grams at the start of an experiment. after one hour, the weight of the isotope was half of its initial weight. after two hours, the weight of the isotope was half of its weight the previous hour. if this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time? a. graph w b. graph x c. graph y d. graph z
Answers: 2
Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:
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