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katrin2010 [14]
2 years ago
13

6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form

Mathematics
1 answer:
joja [24]2 years ago
7 0

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

(x,y)\to (-y,x)

P(x,y)\to P_1(-y,x)

If a figure translated 3 units up, then

(x,y)\to (x,y+3)

P_1(-y,x)\to P'(-y,x+3)

If  triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

(x,y)\to (-y,x+3)

Therefore, the required rule of transformation is (x,y)\to (-y,x+3).

Note: Option are not in proper form.

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Answer:

(a) y = -4x + 4   (b) y = 2x + 3

<u>solving steps:</u>

note: m refers to slope and y₁ to y point and x₁ to x point

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slope: -4

equation:

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