Question

WILL GIVE BRAINLIEST!!

Answer 1

Answer:

$A(-1,4)\to A''(-1,-1)$

$B(0,2)\to B''(1,0)$

$C(1,2)\to C''(1,1)$

$D(-2,4)\to D''(-1,2)$

Step-by-step explanation:

The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).

The transformation rule for 90° counterclockwise rotation is

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

This implies that:

$A(-1,4)\to A'(-4,-1)$

$B(0,2)\to B'(-2,0)$

$C(1,2)\to C'(-2,1)$

$D(2,4)\to D'(-4,2)$

This is followed by a translation 3 units to the right.

This also has the rule: $(x,y)\to (x+3,y)$

$A'(-4,-1)\to A''(-1,-1)$

$B'(-2,0)\to B''(1,0)$

$C'(-2,1)\to C''(1,1)$

$D'(-4,2)\to D''(-1,2)$

Therefore:

$A(-1,4)\to A''(-1,-1)$

$B(0,2)\to B''(1,0)$

$C(1,2)\to C''(1,1)$

$D(-2,4)\to D''(-1,2)$