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
Savatey [412]
3 years ago
10

If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =

Mathematics
2 answers:
kogti [31]3 years ago
5 0
<span>If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n = 1. Dilating an image with a dilation factor of 1 will result to the same image and that ensures the congruency between the pre-image and the dilated image.</span>
AveGali [126]3 years ago
3 0

Answer: If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =  <u>1</u>.

Step-by-step explanation:

  • A dilation is a transformation that creates an image that is the same shape as the original, but is a different size.

Since in a dilation, the corresponding the sides of the pre-image and  sides of the image are proportional.

Such that , \frac{\text{pre-image}}{\text{image}}=n, \text{where n is the scale factor.}...........(1)

Let ΔABC is dilated to ΔA'B'C' such that AB≅A'B', BC≅B'C' and AC≅B'C'.

Then \frac{\text{pre-image}}{\text{image}}=\frac{AB}{A'B'}=\frac{BC}{B'C'}=\frac{AC}{A'C'}=1.......(2)

From (1) and (2),  n=1

Therefore, If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =  <u>1</u>.

You might be interested in
The Baker Family spent $28 on 5 tickets.
White raven [17]

Answer:

I cannot not give the correct solution, need more context. How many children are there, how many adults are in the family? So I will explain in my explanation.

Step-by-step explanation:

If more context were given, for example:<em> 2 adults and 2 children.</em>

Then the bakers would have bought 2 adult tickets for ___ each

Then the bakers would have bought 3 children's tickets for ___ each

So using what we know we can create an equation:

<em>2A+3C=28</em>,<em> </em>

meaning 2 adult tickets plus 3 children's tickets costs a total of $28.

So we divide 28 by 5, which is the total amount of tickets.

28/5=5.6

So to figure the cost of children's tickets multiply the cost by amount.

3*$5.6=$16.8, C=16.8

To figure out the cost of the adults tickets multiple the cost by the amount.

2*$5.6=$11.2, A=11.2

a) the bakers would have bought <u>2</u> adult tickets for <u>5.6</u> each.

b) the bakers would have bought <u>3</u> children's tickets for <u>5.6</u> each.

8 0
3 years ago
What is 3 times 7 plus 5 minus 2 subtracted by 3 plus y y equals 106
Rashid [163]

Answer:

127

Step-by-step explanation:

3 x 7 + 5 - 2 -  3 + y

y = 106

3x7 = 21

21 + 5 = 26

26 - 2 = 24

24 - 3 = 21

21 + 106 = 127

6 0
3 years ago
Read 2 more answers
the perimeter of a rectangle is 62 feet.if the width of the rectangle is 19ft. what is the length of the rectangle
denis23 [38]
Perimeter = 2(l+w) or 2(length+width)

So far you have the width, which is 19feet. Since you have two sides of the rectangle which are 19 feet, add 19+19=38

Subtract 62-38 to get 24.

You now have the length of both of the sides combined. So you need to divide 24/2 = 12
The length of the rectangle = 12ft.
6 0
3 years ago
Read 2 more answers
Find the measure of ∠A if
Dmitriy789 [7]
The answer is d as in dog
8 0
3 years ago
Read 2 more answers
The stopping distance for 10 cars traveling at 55 miles per hour is shown in the table above . What is the mean (average ) stopp
umka21 [38]

Answer:

50

Step-by-step explanation:

Add all of the numbers and divide by the number of columns. Ex.

48+49+50+51+51= 250

250÷5= 50

8 0
3 years ago
Other questions:
  • The number of pages that Zev, Kelly, Marneisha, and Aleisha can read in a day is shown below.
    12·2 answers
  • Ann will run less than 26 miles this week. So far, she has run 15 miles. What are the possible numbers of additional miles she w
    7·1 answer
  • O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x? 23 78.5 337 314
    6·1 answer
  • (Awarding brainless) for the first correct answer
    12·2 answers
  • Geometry Question Please Help
    12·1 answer
  • The sum of two numbers is 92. One eighth of the larger number plus one third of the smaller number is 19. Find the numbers.​
    13·1 answer
  • Round 136 to the nearest ten.
    5·2 answers
  • Mr. Jones' class counted 500 birds on their field trip last week. The following pie graph shows the different bird species and n
    14·2 answers
  • -12=p-7 <br> Please help me
    11·1 answer
  • In a necklace, there are 2 white beads for every 7 purple beads. There is a total of 8 white beads. How many purple beads are in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!