Question

PLEASE ANSWER!! I WILL GIVE BRAINLIEST AND 50 PTS!!

Answer 1

Answer:

• See below and the attached

Step-by-step explanation:

Given triangle EFG:

• E(0, 5), F(1, 1), G(-2, 1)
• Center of dilation is H(0, 1)
• Scale factor is k = 3

The rule for this dilation is:

• (x, y) → (k(x - a) + a, k(y - b) + b)
• (x, y) → (3x, 3(y - 1) + 1) = (3x, 3y - 2)

The coordinates of E'F'G' are:

• E → E' = (0, 5) → (0, 13)
• F → F' = (1, 1) → (3, 1)
• G → G' = (-2, 1) → (-6, 1)

• Points H and H' overlap as center of dilation at (0, 1)

Options (verified with the graph):

Segment EH and segment E prime H prime both pass through the center of dilation.

• True

The slope of segment EF is the same as the slope of segment E prime H prime.

• False

Segment E prime G prime will overlap segment EG.

• False

Segment EH ≅ segment E prime H prime.

• False