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
nexus9112 [7]
3 years ago
6

The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
6 0

Answer: The triangles are not congruent because △D′E′F′ is a dilation of △DEF .

Step-by-step explanation:

Rigid motions form congruent figures, the common rigid motions are:  

1) translation (moves figure about some distance)

2) reflection (creates mirror image)

3) rotation (rotate figure about some degrees)

Dilation : It does not create congruent images. It creates an image that is the exactly same shape as the original, but have a different size with the help of a scale factor k .

Given : The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.

Here the coordinates of the image are increased by using a scale factor 2.

So △D′E′F′ must be an enlargement of △DEF.

⇒△D′E′F′ is a dilation of △DEF

It means : The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Sergeeva-Olga [200]3 years ago
5 0

Answer:

The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Step-by-step explanation:

The rule we have is (x, y)→(2x, 2y).  This means that each x-coordinate and each y-coordinate are multiplied by 2.  This is a dilation by a factor of 2.

This will stretch the image by a factor of 2; this means the sides will be twice as long.  This means they will not be congruent.

You might be interested in
Plsss help !!
Gennadij [26K]

Answer:

carnation $2.50; rose $3.00

Step-by-step explanation:

Let c = price of 1 carnation.

Let r = price of 1 rose.

3c + 5r = 22.5

3c + 2r = 13.50

Subtract the se3cond equation from the first equation.

3r = 9

r = 3

Now substitute r = 3 in the first equation and solve for c.

3c + 5r = 22.5

3c + 5(3) = 22.5

3c = 7.5

c = 2.5

Answer: carnation $2.50; rose $3.00

5 0
3 years ago
Find the sum or difference. 8 1/6 + 7 3/8
Lilit [14]
15 13/24 or in decimal form 15.5416
4 0
3 years ago
Read 2 more answers
In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he ac
Tasya [4]

Answer:

31.25 is the answer at your question

7 0
3 years ago
6/8 is equivalent to 3/4. How can you use this to help you write 6/8 as a decimal?
Alexus [3.1K]

Answer:

0.75 is the answer

Step-by-step explanation:

6/8 is equivalent to 3/4

3 divided by 4 is 0.75

Since 6/8 is equivalent then it is also 0.75

Also 6/8 turn to 3/4 when both the numerator and denominator is divided by 2.

6 divided by 2 is 3

8 divided by 2 is 4

6 0
3 years ago
Read 2 more answers
Tory was shopping for a new purse. The purse she wanted was $45. Tory
weeeeeb [17]

Answer:

20% off 45.00 is 36.00

Step-by-step explanation:

The difference is $9.00

8 0
2 years ago
Read 2 more answers
Other questions:
  • X(a-b)=b(c-x)<br>make x the subject of the formular <br>pls help meee​
    7·1 answer
  • The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?
    7·1 answer
  • Please explain how you got it
    9·1 answer
  • Select the correct answer
    7·2 answers
  • SELECT TWOOOOOOOOOO ANSEWS NOT THREE NOT ONE I NEED TWO
    11·2 answers
  • 1. Allen had 12 goals on the season. If he
    10·2 answers
  • Answer this question! i’ll give brainliest
    13·2 answers
  • Any two points in space lie on one and only one _____.
    13·1 answer
  • Can someone help in graphing this equations?
    8·1 answer
  • william bougght canned goods at 2.40 per can.he wants to increase the price per can so that he makes a 25% profit. what will the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!