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Andru [333]
3 years ago
14

All items

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0
Too long busy make it shorter
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2. Select all transformations that must take any point A to any point B.
kherson [118]

The given transformation of reflection, rotation and translation are rigid transformation

The transformation that must take any point A to any point B are;

  • <u>Rotation of 180° around the midpoint of segment AB</u>
  • <u>Reflection across the perpendicular bisector</u>
  • <u>Translation by the directed line segment AB</u>

Reason:

<em>Question: The given quadrilaterals ABCD and A'B'C'D' are congruent</em>

Required; To select all transformation that must take a point A to point B

Solution:  

  • Rotation of 180° around the midpoint of segment AB

A rotation of 180° about the midpoint of segment AB will change the places of points A and B

A(x, y) → R₁₈₀ → A'(-x, -y)

Let the coordinates of the origin be the midpoint of segment AB, and let (x, y) represent the coordinate of the point B(x, 0) we have;

∴ The coordinates of point A is A(-x, 0), which gives;

A(-x, 0) → R₁₈₀ → A'(x, 0) = point B

Therefore a rotation about the midpoint of AB must take point A to point B

  • Reflection across the perpendicular bisector

The reflection of a point (x, y) about y-axis gives a point (-x, y), therefore, we have;

A(-x, 0) → Reflection across the y-axis → A'(x, 0) = point B

Therefore, a reflection across the perpendicular bisector of the line AB must take the point A to point B

  • Translation by the directed line segment AB

A translation along the directed line segment AB of point A(-x, 0) 2·x units right gives;

A'(-x + 2·x, 0) = A'(x, 0) = Point B

Therefore, the transformations that must take any point A to any point B are;

<u>Rotation of 180° around the midpoint of segment AB</u>

<u>Reflection across the perpendicular bisector</u>

<u>Translation by the directed line segment AB</u>

Learn more here:

brainly.com/question/12369596

8 0
3 years ago
Please help<br> 45 = 32 - 47n
Scilla [17]

Answer:

45=32-47n

Step-by-step explanation:

4n7=45+35

47n=80

n=80:47

n=80/47

4 0
3 years ago
Read 2 more answers
Evaluate the expression when c= -4.<br> c² – 5c+2
Fiesta28 [93]

Answer:

The answer is 38.

Step-by-step explanation:

You have to substitue c = -4 into the expression :

Let c = -4,

{( - 4)}^{2}  - 5( - 4) + 2

= 16 + 20 + 2

= 38

4 0
2 years ago
Are these triangles similar? If so how? If not, explain.
rewona [7]
I think the answer is right triangles sorry its it wrong
5 0
3 years ago
Help please <br>I DONT understand <br>​
RideAnS [48]

Answer:

it is B i thinkif im wrong im sorry

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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