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g100num [7]
3 years ago
14

The triangle ABC goes through a series of transformations, resulting in the triangle A’B’C’. The three transformations are liste

d below. Reflection in the x- axis. Followed by a rotation of 1800 clockwise about the origin Followed by a translation 3 units down and 4 units to the right For triangle ABC, the vertex A is originally located at (-2, 3). Show the new coordinates of A after each of the three transformations above. 3 points Your answer
Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

<em>The new co-ordinates of A ( 2 ,-6)</em>

Step-by-step explanation:

Type of transformation                                change to co-ordinate point

Vertical translation up 'd' units                  (x,y)→(x , y+d)

<em>Vertical translation down 'd' units             (x,y)→(x , y-d)</em>

<em>Horizontal translation right 'c' units           (x,y)→(x+c , y)</em>

Horizontal translation left 'c' units           (x,y)→(x-c , y)

<em>Reflection over x-axis                               (x,y) →(x , -y)</em>

Reflection over y-axis                               (x,y) →(-x , y)

Given the original vertex A ( -2 ,3)

a) First reflection over x-axis  ( -2 ,3) <em>→(-2 , -3)</em>

<em>b) Vertical translation down '3' units  so it changes (-2 , -3)→(-2 , -3-3)</em>

<em>                          (-2,-3)→(-2 ,-6)</em>

<em>and</em>

<em>c) The Horizontal translation right '4' units </em>

<em>now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)</em>

<em></em>

<u><em>Final answer</em></u><em>:- </em>

<em>The new co-ordinates of A ( 2 ,-6)</em>

<em></em>

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Keywords: Ratios, Fractions

Learn more about ratios at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

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