Question

( HURRY ASAP, THIS IS AN GRADED TEST! ) ( FOR 30 POINTS )

Triangle KLM was dilated with the origin as the center of dilation to create triangle K'L'M'.
Which‌ ‌rule‌ ‌best‌ ‌represents‌ ‌the‌ ‌dilation‌ ‌that‌ ‌was‌ ‌applied‌ ‌to‌ ‌triangle‌ ‌‌KLM‌ ‌‌to‌ ‌create‌ ‌triangle‌ K’L’M’‌‌ ‌?‌

A: (x, y) → (1.5x, 1.5y)
B: (x, y) → (1.5 + x, 1.5 + y)
C: (x, y) → (2.5 + x, 2.5 + y)
D: (x, y) → (2.5x, 2.5y)

Answer 1

Answer:The rule that best represents the dilation applied to triangle KLM to create triangle K’L’M’ is A: (x, y) → (1.5x, 1.5y).

When a figure is dilated, each point of the original figure is multiplied by a scale factor to determine the corresponding point on the dilated figure. In this case, the scale factor is 1.5.

Let's take an example to understand this. Suppose we have a point K with coordinates (2, 3) in triangle KLM. Applying the dilation rule A, we multiply the x-coordinate by 1.5 and the y-coordinate by 1.5 to get the corresponding point K' in triangle K’L’M’. So, (2, 3) becomes (1.5 * 2, 1.5 * 3), which is (3, 4.5).

Similarly, we can apply the same dilation rule to each point of triangle KLM to find the corresponding points in triangle K’L’M’.

Therefore, option A: (x, y) → (1.5x, 1.5y) represents the dilation that was applied to triangle KLM to create triangle K’L’M’.

Answer 2

B

Explanation:

Cs i did the test