Question

b. trapezoid klmn is rotated 180° clockwise about the origin to create trapezoid klmn. what rule describes this transformation? d. parallelogram pqrs was translated 2 units to the right and 3 units down. what rule describes this transformation? f. parallelogram abcd is translated 5 units down to create parallelogram abcd. what rule describes this transformation?

Explanation:

Step1: Recall rotation rule about origin

For a 180 - degree clockwise rotation about the origin, the rule for a point $(x,y)$ is $(x,y)\to(-x,-y)$.

Step2: Recall translation rule for right - down movement

For a translation of 2 units to the right and 3 units down, for a point $(x,y)$ the rule is $(x,y)\to(x + 2,y-3)$.

Step3: Recall translation rule for down movement

For a translation of 5 units down, for a point $(x,y)$ the rule is $(x,y)\to(x,y - 5)$.

Answer:

For trapezoid KLMN rotated 180° clockwise about the origin: $(x,y)\to(-x,-y)$
For parallelogram PQRS translated 2 units to the right and 3 units down: $(x,y)\to(x + 2,y-3)$
For parallelogram ABCD translated 5 units down: $(x,y)\to(x,y - 5)$