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Kryger [21]
3 years ago
7

describe a set of Transformations that will move triangle A on the graph below to match up with triangle B​

Mathematics
1 answer:
MArishka [77]3 years ago
6 0

9514 1404 393

Answer:

  • reflection over y = 2.5
  • translation left 1

Step-by-step explanation:

The orientation of the triangle is reversed, so a reflection is required. Horizontal lines remain horizontal, but up/down are reversed, so the reflection is across a horizontal line. The horizontal line that is halfway between each point and its image is the line y = 2.5.

The x-coordinates of the image points are 1 less than the x-coordinates of the original, so a left shift of 1 unit is involved.

The two transformations to get from A to B could be (in any order) ...

  1. reflection over the line y = 2.5
  2. translation left 1 unit

__

The transformation can be summarized by ...

  (x, y) ⇒ (x -1, 5 -y)

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Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the  nearest 10th of a degree

Solution:

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Using sine rule, we can find ∠K:

\frac{k}{sin(K)}=\frac{j}{sin(J)}   \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)}  \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o  \\

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