Question

The triangle uvw shown on the coordinate grid below is reflected once to map onto triangle u'v'w': triangle uvw drawn on a 4 quadrant coordinate grid with vertices u is at 6, 5. v is at 2, 4. w is at 8, 2. if vertex w' is at (−8, 2), what are the coordinates of vertex u'

Answer 1

(−6, 5) are the coordinates

Answer 2

Answer with explanation:

The Vertices of Triangle u v w are ,(6,5), (2,4), (8,2), which we call Preimage.

It is translated , to reach at point , that is reflected image ,having one of the vertices , w' (-8,2).

If a triangle is reflected ,then image and preimage are congruent shapes, neither the shape nor size changes.

Original triangle is in first Quadrant .

One of the vertices of image lies in Second Quadrant.

it means , the triangle is reflected through, line ,x=0,that is y axis.

So , other two vertices will lie in Second Quadrant also.

v'=(-2,4)

u'=(-6,5)