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Nadya [2.5K]
3 years ago
13

Someone explain!! geometry

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Step-by-step explanation:

sin 0 = opposite ÷ hypothenus

sin 0 = 3 / 5

3 / 5 = x / 15

5 × n = 15

n = 3

x = 3 × 3 = 9

y = use pythagoras

= 12

tan 0 = opposite ÷ adjacent

tan 0 = 9/12

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1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
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Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

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

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

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Its the first one (4,1)
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kotykmax [81]
I think the answer is -6i and 2-5i

If I remember correctly imaginary numbers must also have their conjugate as a zero as well

Hope this helps
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