Question

Enter the ordered pair for the vertices for Rx-axis(QRST).

Answer 1

Given:

The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).

To find:

The vertices for $R_{x-axis}(QRST)$.

Solution:

The rule $R_{x-axis}(QRST)$ represents refection of polygon QRST across the x-axis.

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

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

Using this rule, we get

$T(-2,3)\to T'(-2,-3)$

$Q(1,5)\to Q'(1,-5)$

$R(3,-1)\to R'(3,1)$

$S(0,0)\to S'(0,0)$

Therefore, the vertices for $R_{x-axis}(QRST)$ are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).