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’s the answer to finding out what 5x+2y=70?
inna [77]

Answer:

x=<u>-2y+70</u>

       5

y=<u>-5x+70   </u>

        2

Step-by-step explanation:

5 0
3 years ago
A large aquarium has 6 more fish than a small aquarium. There are 19 fish in the large aquarium. How many fish are in the small
iVinArrow [24]

Answer: 13

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Is Figure 1 similar to Figure 2? ​
tamaranim1 [39]

Answer:

no figure 1 isn't similar to figure 2

Step-by-step explanation:

because its sides aren't the same numbers nor do the numbers correlate with the numbers in figure one its 2 different numbers

6 0
3 years ago
6x8-6x5 in distributive property.
ddd [48]

Answer:

6(8 -5)

Step-by-step explanation:

take out the 6 -

8 - 5

then put them in parentheses

(8 - 5)

add back the 6

6(8 - 5)

8 0
2 years ago
Read 2 more answers
Describe and correct the error in writing 39/40 as a percent 39/40= 0.975 = 9.75/100=9.75%
Alexus [3.1K]
10% is the answer I think
5 0
3 years ago
Read 2 more answers
Other questions:
  • (√10) to the power of 3
    8·2 answers
  • Write an equation given the following: m = -1, y-int = 8 *
    7·1 answer
  • Find g(x), where g(x) is the reflection across the x-axis of f(x)=x.
    13·2 answers
  • How do you factor trinomials?
    8·1 answer
  • An item has a listed price of $95. If the sales tax rate is 9%, how much is the sales tax (in dollars)?
    6·1 answer
  • Quadrilateral ABCD ​ is inscribed in circle O. What is ​ m∠A ​ ? Enter your answer in the box. ° A quadrilateral is inscribed in
    9·1 answer
  • A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the proba
    5·2 answers
  • I need helppppp........
    5·1 answer
  • I need help to answer please
    15·1 answer
  • I need help with this question! Thank you :)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!