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]
4 years ago
6

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

Mathematics
2 answers:
Elina [12.6K]4 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]4 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
What is the value of t=1 3(4 x (1/2) t-1)
Aliun [14]

Answer:

t = 13 over 25 or in alternate form its t = 0.52

7 0
3 years ago
Which graph shows exponential growth?
gtnhenbr [62]

Answer:

The second graph.

Step-by-step explanation:

The one where the line is curving upwards.

5 0
3 years ago
Read 2 more answers
Johannes want to earn at least $350 per week. His work week is 40 hrs, what is the minimum hourly wage he must make?
pentagon [3]

Answer: minimum hourly wage is $8.75

Step-by-step explanation:

To get the minimum hourly wage, we divide $350 by 40hrs

= $350 ÷ 40

= $8.75

3 0
3 years ago
Read 2 more answers
Will give brainliest
Wewaii [24]

Answer:

Step-by-step explanation:

will give brainiest wrrwrwvrwvr

3 0
2 years ago
Which is the smallest number in this set of numbers?
WITCHER [35]
C is correct because A is 2.82 and B is 2.8
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the radius of a semi circle when the area is 20cm
    5·1 answer
  • Rihanna planned a rectangular courtyard for a park and made a scale drawing using inches as the unit of measurement. She origina
    7·2 answers
  • Which graph below solves the following system of equations correctly? y = three over four times x squared minus 3 y = negative t
    9·1 answer
  • Solve for m: 3m - 5r = 2n + 7
    13·2 answers
  • A right triangle has one angle that measures 59º. What is the measure of the other<br> acute angle?
    9·1 answer
  • SOMEONE PLEASE PLEASE HELP!!!!​
    14·2 answers
  • On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-interc
    6·2 answers
  • I need help with this
    7·2 answers
  • In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
    5·1 answer
  • There are two rectangular prisms. The base of the first prism is a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!