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Kryger [21]
3 years ago
9

Which pair of transformations moves quadrilateral 1 to quadrilateral 2?

Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

Answer:

<u>Answer choices:</u>

a. Reflection takes it to Q2, further rotation takes it back to Q3

  • Incorrect

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

  • Correct

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

  • Incorrect

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

  • Incorrect
malfutka [58]3 years ago
6 0

Translate it 8units to the right then reflect it over the line y=-3

Why?

  • We can see the Quadrilateral is in Quadrant 3.
  • If we translate it by 8units right it come to Quadrant 4.
  • Now reflect it over line y=-3
  • we will get Quadrilateral 2
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The value of the given trigonometry function is 2√15/15

<h3>Half angles</h3>

Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.

For instance the value of cos theta is expressed as shown below;

cosФ = cos(Ф/2+Ф/2)

cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ  = 1 - 2cos²Ф/2

Given the following parameters

cosФ = -7/15

Substitute

cosФ  = 1 - 2cos²Ф/2

-7/15  = 1 - 2cos²Ф/2

-2cos²Ф/2 = -7/15 - 1

-2cos²Ф/2 = -8/15

cos²Ф/2 = 4/15
cosФ/2 = 2/√15

Rationalize

2/√15 * √15/√15

2√15/15

Hence the value of the given trigonometry function is 2√15/15

Learn more on trigonometry function here: brainly.com/question/2254074

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If matrix A is of the size 2×3 and we are able to add matrix B to A. what must be the size of B be?​
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