Question

monday
reflect △uvw over the y - axis.
tuesday
point f(-17, 8) is rotated 180° about the origin. what are the coordinates of image f?
wednesday
draw △hu... rotation ab... orig

Explanation:

Step1: Solve Monday's reflection

For a point $(x,y)$ reflected over the y-axis, the transformation is $(x,y)\to(-x,y)$.

• $V(-1,4)\to V'(1,4)$
• $U(-2,1)\to U'(2,1)$
• $W(1,2)\to W'(-1,2)$

Step2: Solve Tuesday's 180° rotation

For a point $(x,y)$ rotated 180° about the origin, the transformation is $(x,y)\to(-x,-y)$.

• $F(-17,8)\to F'(17,-8)$

Step3: Note Wednesday's task (incomplete)

The Wednesday task is to draw $\Delta H'U'$ as a rotation about the origin, but the original triangle's coordinates are missing, so it cannot be completed.

Answer:

1. Monday (Reflected $\Delta U'V'W'$ coordinates):

$U'(2, 1)$, $V'(1, 4)$, $W'(-1, 2)$

1. Tuesday (Image of $F$):

$F'(17, -8)$

1. Wednesday: Incomplete, original triangle coordinates are missing to perform the rotation.