(02.04 MC) 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 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?
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(01.03 MC) Robert is completing construction of a square in…
(01.03 MC) Robert is completing construction of a square inscribed in a circle, as shown below. What should be the next step in his construction?
(03.01 LC) Salma used a photocopier to dilate the design for…
(03.01 LC) Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image?
(02.06 MC) In quadrilateral ABCD, the diagonals intersect at…
(02.06 MC) In quadrilateral ABCD, the diagonals intersect at point T. Thomas has used the Alternate Interior Angles Theorem to show that angle ADB is congruent to angle DBC and that angle DBA is congruent to angle BDC. Which of the following can Thomas use to prove that side AB is equal to side DC?
(02.02 HC) Rectangle LMNO is reflected over the x-axis to cr…
(02.02 HC) Rectangle LMNO is reflected over the x-axis to create rectangle L’M’N’O’. If a line segment is drawn from point M to point M’, which statement would best describe the relationship between and the x-axis?
(01.07 MC) and are parallel. If m∠ABG = 11x and m∠HCF = 10…
(01.07 MC) and are parallel. If m∠ABG = 11x and m∠HCF = 10x + 9, what is m∠ABG?
(02.02 MC) Kim performed a transformation on rectangle ABCD…
(02.02 MC) Kim performed a transformation on rectangle ABCD to create rectangle A’B’C’D’, as shown in the figure below: What transformation did Kim perform to create rectangle A’B’C’D’?
(02.02 MC) If triangle ABC is rotated 180 degrees, reflecte…
(02.02 MC) If triangle ABC is rotated 180 degrees, reflected over the y‐axis, and reflected over the x‐axis, where will point A’ lie?
(02.03 MC) Triangle PQR has coordinates P (0, 0), Q (-4, 0),…
(02.03 MC) Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
(02.01 LC) The coordinate grid below shows triangle ABC and…
(02.01 LC) The coordinate grid below shows triangle ABC and its image after translation, triangle A’B’C’: Which of the following completes the rule for this translation, (x, y) → (x + 8, ___)?