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

Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on segment GF, and points E and H are connected with a segment.

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?

segment EH and segment E prime H prime both pass through the center of dilation.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment E prime G prime will overlap segment EG.
segment EH ≅ segment E prime H prime.

PLEASE ANSWER I WILL GIVE BRAINLIEST AND 50 PTS Coordinate plane with triangle EFG with E at 0 comma 5 F at 1 comma 1 and G at negative 2 comma 1 Point H at 1 c class=

Respuesta :

mhanifa

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
Ver imagen mhanifa

answer is A gl on ur test

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