Answer:
Image point → (-4, 0)
Step-by-step explanation:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
D₄ o R₉₀
First use R₉₀ → Rotation of the point by 90° counterclockwise
Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,
(x, y) → (-y, x)
(0, 1) → (-1, 0)
Further use D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(-1, 0) → (-4, 0)
Therefore, image point will be → (-4, 0)
You have to find out what the similarity ration is meaning you need to find the scale factor . you simplify create a ratio of the lengths of two corresponding sides of the two polygons . if the ration is the same for all corresponding sides then that’s the scale factor . Anyways the polygons are similar.
Replace x with 5, and evaluate the expression.
Remember to follow the correct order of operations.
100 - 15x =
= 100 - 15 * 5
= 100 - 75
= 25
