Ray knows that the m∠3 = m∠6. which of the following conclusions can ray make based on the given information? lines l and m are parallel because alternate interior angles are equal. lines l and m are parallel because alternate exterior angles are equal. lines l and m are parallel because corresponding angles are equal. no conclusion can be made about the lines.

Given: ∠3 = ∠6, Two lines l and m.

To Find: Conclusions based on given information

Construction: Drawn two lines l and m (1.) when l and m are parallel (2) when l and m are not parallel.

Solution:

1. Lines l and m are parallel because alternate interior angles are equal.[ False, not given whether ∠3 and ∠6,are which angles.]

2. Lines l and m are parallel because alternate exterior angles are equal.[ False, not given whether ∠3 and ∠6,are which angles.]

3. Lines l and m are parallel because corresponding angles are equal. [False, not given whether ∠3 and ∠6,are which angles.]

4.No conclusion can be made about the lines.→  [ True]

If the lines are intersecting then also two angles can be equal .

If lines are parallel, then ∠3 and∠6 can be vertically opposite angles also.

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'.

true

step-by-step explanation:

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