1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
quester [9]
1 year ago
5

Dilate the trapezoid using center (-3,4) and scale factor 1/2.

Mathematics
1 answer:
pochemuha1 year ago
3 0

The coordinates of the vertices of the image of the trapezoid are given as;

A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) , D'(x, y) = (- 7 / 2, 5 / 2).

<h3>How to find the image of a trapezoid by dilation?</h3>

In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described :

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where O(x, y) - Center of dilation

k - Scale factor

And P(x, y) - Coordinates of the original point, P'(x, y) - Coordinates of the resulting point.

Since k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4),

Therefore, the coordinates of the vertices of the image are:

Point A'

A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]

A'(x, y) = (- 3, 4) + (1 / 2) [(- 5, - 2) - (- 3, 4)]

A'(x, y) = (- 3, 4) + (1 / 2)  (- 2, - 6)

A'(x, y) = (- 3, 4) + (- 1, - 3)

A'(x, y) = (- 4, 1)

Point B';

B'(x, y) = O(x, y) + k [B(x, y) - O(x, y)]

B'(x, y) = (- 3, 4) + (1 / 2) [(- 1, - 2) - (- 3, 4)]

B'(x, y) = (- 3, 4) + (1 / 2)  (2, - 6)

B'(x, y) = (- 3, 4) + (1, - 3)

B'(x, y) = (- 2, 1)

Point C';

C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]

C'(x, y) = (- 3, 4) + (1 / 2)  [(- 2, 1) - (- 3, 4)]

C'(x, y) = (- 3, 4) + (1 / 2) (1, - 3)

C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)

C'(x, y) = (- 5 / 2, 5 / 2)

Point D'

D'(x, y) = O(x, y) + k  [D(x, y) - O(x, y)]

D'(x, y) = (- 3, 4) + (1 / 2) [(- 4, 1) - (- 3, 4)]

D'(x, y) = (- 3, 4) + (1 / 2) (- 1, - 3)

D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)

D'(x, y) = (- 7 / 2, 5 / 2)

To learn more on dilations:

brainly.com/question/13176891

#SPJ1

You might be interested in
What is the answer for 10x+75+5x=110? And how do you get it?
cestrela7 [59]
Okay, let's add the two x values.
10x + 75 = 5x = 110
15x + 75 = 110

Now let's minus 75 from each side.
15x = 35

Now let's divide each side by 15.
x = 2.333333333
8 0
3 years ago
Read 2 more answers
More than $70 billion is spent each year in the drive-thru lanes of America’s fast-food restaurants. Having quick, accurate, and
artcher [175]

Answer:

a) There is no significant difference between restaurants with and without order-confirmation boards

b) -12.5 ± 3.604 or C.1.E (-16.10, -8.90)

Step-by-step explanation:

answers are in the attachment below

8 0
3 years ago
What is the slope of the line that passes through points (1/4,3) and (5,8)
Alex73 [517]

Answer:

20/19

Step-by-step explanation:

y2-y1/x2-x1

= 8-3/5-1/4

=20/19

8 0
3 years ago
ILL MARK AS BRAINLIST IF U GET IT RIGHT it’s khan
Sergeeva-Olga [200]

Answer:

5

Step-by-step explanation:

given that x and y are proportional, they can be expressed as y = rx, where r is the proportionality constant. Thus, we can solve for r by doing y/x in any given point.

\frac{8}{1.6} = \frac{15}{3}  = \frac{22}{4.4} = 5

8 0
3 years ago
Subtract 37/55-32/55
lana66690 [7]
The answer would be 5/55 because if you subtract 32 from 37 you would end up with 5 and because the denominator was the same you keep the denominator the same.
5 0
3 years ago
Other questions:
  • the inequality simplifies to 3/x+2+1&gt;0. which inequality is equivalent? a. 4/x+2&gt;0 b. 4/x+2&lt;0 c. x+5/x+2&gt;0 d. x+5/x+
    9·2 answers
  • Albert multiplied a whole number by a fraction. The whole number is greater than one. The fraction is greater than zero and less
    6·1 answer
  • Select the reason why these triangles are
    15·1 answer
  • Which of the following sets could not represent the sides of a triangle? {3, 4, 5} {2, 2, 4} {3, 3, 5}
    5·2 answers
  • Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few
    12·1 answer
  • When Victoria was in elementary school, she would spend 2 minutes picking out which clothes to wear to school. Now that she is i
    13·1 answer
  • Solve similar triangles
    12·2 answers
  • Examine the following piecewise function.
    5·1 answer
  • Kelly has some money. She spends $17.50 on clothes,
    15·2 answers
  • 7^x=3^[x+4] solve x using logarithmic
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!