Question

Given the following coordinates complete the glide reflection transformation.

A(−1,−3)


B(−4,−1)


C(−6,−4)


Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

Answer 1

Given:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

To find:

The image after glide reflection transformation.

Solution:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

If a figure is reflected over the x-axis, then

`(x,y)\to (x,-y)`

Using this, we get

`A(-1,-3)\to A'(-1,3)`

`B(-4,-1)\to B'(-4,1)`

`C(-6,-4)\to C'(-6,4)`

If a figure is shifting 10 units right, then

`(x,y)\to (x+10,y)`

Using this we get

`A'(-1,3)\to A''(-1+10,3)`

`A'(-1,3)\to A''(9,3)`

Similarly,

`B'(-4,1)\to B''(-4+10,1)`

`B'-4,1)\to B''(6,1)`

And,

`C'(-6,-4)\to C''(-6+10,4)`

`C'(-6,-4)\to C''(4,4)`

Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).