Question

perform a glide reflection to the triangle ABC by translating to the right 5, and up 4, then reflect across the x-axis. final image A'' B'' C''pre-image A(3,11) B(3,4) C(10,4)

Answer 1

The triangle ABC as shown in the diagram above has the points ABC as labelled. To translate to the right 5 units, meansyou move each point 5 units towards the right side of the x-axis. Hence, the point A would now relocate to

A([3 +5], 11), point B would now be on ([3 + 5], 4) and point C would be ([10 + 5], 4).

Next you move it up along the y-axis by 4 units shown as follows;

A([3+5], [11+4])

B([3+5], [4+4])

C([10+5], [4+4])

And you now have it at,

A(8, 15), B(8, 8) and C(15, 8)

Then to reflect it across the x-axis means to show it as a mirror image (more like folding the page into two halves along the horizontal). To do this you multiply the the y-coordinates by negative 1, making them take on the opposite values.

The reflection now becomes;

A"(8, -15)

B"(8, -8)

C"(15, -8)