Perform the following transformations on the point (4,−8): (−1,2) Translation (L5 and U10) b. 𝑥,𝑦 →(0.5𝑥, 0.5𝑦) (2,−4) Dilation (scale factor 0.5) c. 𝑥,𝑦 →(𝑥, −𝑦) (4,8) Reflection (over x-axis) d. 𝑥,𝑦 →(−𝑦,𝑥) (8,4) Rotation (90° CCW) Determine the type of transformation each rule above represents (translation, rotation, dilation, or reflection).

Perform the following transformations on the point (−3,5): a. Reflect over y-axis (3,5) (𝑥,𝑦)→(−𝑥,𝑦) b. Rotate 90° clockwise (5,3) (𝑥,𝑦)→(𝑦,−𝑥) c. Dilation by scale factor of 2 (−6,10) (𝑥,𝑦)→(2𝑥,2𝑦) d. Translate right 5 and down 4 (2,1) (𝑥,𝑦)→(𝑥+5,𝑦−4) Determine the RULE used for each transformation above.

A’B’C’D’E’ is the image of ABCDE after a 90° Counter-clockwise. Find the value of x given the following: AB= x+1 A’B’= 3y CD= 5y+4 C’D’=19 X=8

C B C

Which rule would move point A to point B? 𝑥,𝑦 → 𝑥−8, 𝑦−14 𝑥,𝑦 → −𝑥, −𝑦 𝑥,𝑦 → 𝑦, −𝑥

Triangle ABC has an area of 48 m2 Triangle ABC has an area of 48 m2. If triangle ABC is dilated by a scale factor of 2, what is the new area of triangle ABC? 48x4 = 192 m2

(-6,-4) (5,-2) (𝒙,𝒚)→(𝒙+𝟑,𝒚−𝟏)