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).