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Mathematics, 14.01.2021 01:20 blackops7777

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 3(Multiple Choice Worth 1 points) (03.03 LC) Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar by the AA similarity postulate? Angle B is congruent to angle E. Side AB is congruent to side DE. Angle C is congruent to angle D. Side BC is congruent to side EF. Question 4(Multiple Choice Worth 1 points) (03.02 MC) The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conclusion is true about the triangles? They are congruent by the definition of congruence in terms of rigid motions. They are similar by the definition of similarity in terms of a dilation. The ratio of their corresponding sides is 1:3 The ratio of their corresponding angles is 1:3. Question 5(Multiple Choice Worth 1 points) (03.01 MC) Line g is dilated by a scale factor of one half from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−8, 0) and F' (0, 4), and

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

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