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
Which expressions are equivalent to 3(4h + 2k)?
faltersainse [42]

Answer:

A

Step-by-step explanation:

If we distribute the 3 to the equation in the parenthesis, we end up with this

12h + 6k

Now, let's do the same thing for the other two equations

3(2k + 4h) = 6k + 12h

You can rearrange this equation to look like 12h+ 6k, making it the exact same as 3(4h + 2k).

So A is equivalent

How about B?

3(4h + 2h) = 12h + 6h = 18h

18h does not equal 12h + 6k, so B is not equivalent

5 0
3 years ago
What is the slope of the line containing (–2, 5) and (4, –4)?
kotykmax [81]
<span>To find the slope of a line use the Point Slope Formula which is: (y2-y1) / (x2-x1)

The point with the bigger x value is (x2,y2)

Next, plug the two points into the formula: (-4 - 5) / (4 -(-2))

Note: 4-(-2) = 4+2 = 6
Simplify: -9 / 6 = - 3/2
The answer is B.

Hope this helps, and May the Force Be With You!

-Jabba<span>
</span></span>
7 0
3 years ago
Read 2 more answers
Consider a pattern that begins with 180 and each consecutive number is 19 less than the previous term. What are the first five t
Lynna [10]
C is the correct answer. Hope that helped.
4 0
3 years ago
Read 2 more answers
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that
Nostrana [21]

Answer:

y=28.5x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In this problem

Let

x------> the number of gallons

y------> the number of miles

the relationship between the number of miles and the gallons of gas represent a linear direct variation

The constant of proportionality k is equal to the slope m

m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}

therefore

the equation of the linear equation

y=28.5x


5 0
3 years ago
Read 2 more answers
Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. Each t-shirt costs $
NeX [460]

70-30=40

40 divided by 8 = 5

x ≤ 5

she can buy at the most 5 T-shirts.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Thinking about the areas of a Standard Normal Distribution, as z values decrease, do the areas to the left of z increase, or dec
    12·1 answer
  • 4+x=7 describe this question in words
    10·2 answers
  • Please Help!
    9·2 answers
  • the population of the united states is expected to be 392 million people by 2050. write this numbers in scientific notation
    8·1 answer
  • Determine the value of the variable <br><br><br> -4y + 2y + 2 &lt; -8 + 2
    5·1 answer
  • Two inches equal approximately how many centimeters?
    13·2 answers
  • Of all the students in the school band, 6 play the trumpet. They represent 10% of the total number of students playing in the ba
    10·2 answers
  • Using distributive property
    9·1 answer
  • What is 81 to the 1/4 power
    8·2 answers
  • 14) Are these TRUE or FALSE?<br>3/1= 1/3<br>3/1 = 1<br>3/3 = 1​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!