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
Paul [167]
3 years ago
6

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

Mathematics
2 answers:
Elina [12.6K]3 years ago
5 0
Hey there!

Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C. 

Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is \frac{1}{4}. 

Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down. 

The answer will be B, "a dilation with a scale factor of \frac{1}{4} and then a translation."

Hope this helped you out! :-)
algol [13]3 years ago
4 0

The composition of similarity transformations maps polygon ABCD to polygon A'B'C'D' is a dilation with a scale factor of \dfrac{1}{4} and then a translation. Option (b) is correct.

Further explanation:

The rule of transformation of the coordinates can be expressed as follows,

\boxed{\left( {x,y} \right) \to \left( {kx,ky} \right)}

Here, k represents the scale factor.

Given:

The options are as follows,

(a). A dilation with a scale factor of \dfrac{1}{4} and then a rotation

(b). A dilation with a scale factor of \dfrac{1}{4} and then a translation

(c). A dilation with a scale factor of 4 and then a rotation.

(d). A dilation with a scale factor of 4 and then a translation

Explanation:

The length of side {\text{A'B'}} is \dfrac{1}{4} of side AB.

The length of side {\text{A'D'}} is \dfrac{1}{4} of side AD.

The length of side {\text{D'B'}} is \dfrac{1}{4} of side DB.

The length of side {\text{C'B'}} is \dfrac{1}{4} of side CB.

The composition of similarity transformations maps polygon ABCD to polygon A'B'C'D' is a dilation with a scale factor of \dfrac{1}{4} and then a translation. Option (b) is correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: composition, image vertices, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule,  

You might be interested in
Which of the following are incorrect expressions for slope? Check all that apply.. . A. Change in the dependent variable relativ
n200080 [17]
A. B. and C. are incorrect expressions for the slope.

m (slope) = rise/run = y2-y1/x2-x1 = change in the independent variable relative to the change in dependent variable 

y is the independent variable and x is the dependent variable
7 0
2 years ago
Read 2 more answers
A city park in the shape of a rectangle measures 90 yards by 120 yards. A rectangular playground inside the park measures 18 yar
LenKa [72]

Answer:

wouldn't the answer be 10800 yards

Step-by-step explanation:

because the formula of the area of a rectangle is l x w. so 90 x 120 is 10800

3 0
2 years ago
Read 2 more answers
16/25 divided by 15/8​
MA_775_DIABLO [31]

Answer:

i think it's 20/8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
An eight-pack of juice boxes for $4 has a unit rate of $2 per juice box.
finlep [7]

Answer:

thats false the unit rate would be $0.5

4 0
3 years ago
Read 2 more answers
A girl kick a soccer ball 10 ft away from her, it came right back after she kicked the ball.How is that possible?
blondinia [14]
The windffffff#r ddccvxv ffffbdtgpruc
6 0
2 years ago
Other questions:
  • Which of the following is NOT a true statement?
    7·1 answer
  • Which of the following could be a rational number?
    6·1 answer
  • a shop sells hats and scarves.The scarves cost 1.5 times as much as the hats.Writ 2 patterns that could represent the costs of 1
    12·1 answer
  • 19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
    12·1 answer
  • Marty must pack 4,125 steel ball bearings into 10 boxes. Each box must contain an equal number of bearings. How many bearings do
    12·1 answer
  • What is the simplified expression for -2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
    5·1 answer
  • Please answer this correctly
    12·2 answers
  • Henry constructed circle A with a radius of 4 units. He then created a sector
    14·1 answer
  • WILL MARK BRAINLIEST! PLEASE HELP!
    9·1 answer
  • Help me with this pls !
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!