Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°: StatementsReasons
Draw line ZY parallel to segment PQConstruction
m∠ZRP + m∠PRQ + m∠QRY = m∠ZRYAngle Addition Postulate
∠ZRP ≅ ∠RPQAlternate Interior Angles Theorem
∠QRY ≅ ∠PQRAlternate 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°Additive Property of Equality

Which statement will accurately correct the two-column proof?

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for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

step-by-step explanation: