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
Elanso [62]
3 years ago
8

On the coordinate plane, ΔABC ≅ ΔDEF by SSS. ΔABC translates 2 units to the left and 3 units down. Do the triangles remain congr

uent? Explain why or why not.
Mathematics
2 answers:
MrRissso [65]3 years ago
8 0
Yes because you are simply translating the shape and moving it and not changing the shape.
elena55 [62]3 years ago
4 0

Answer: Yes, they are congruent.

Step-by-step explanation:

Given: On the coordinate plane, ΔABC ≅ ΔDEF by SSS...........(1)

ΔABC translates 2 units to the left and 3 units down.

Let ΔA'B'C' be the translated image of ΔABC.

  • A translation is rigid transformation that maps every point of a figure by the same distance in a given direction.

Since, all the rigid transformations create congruent images.

Hence, ΔA'B'C'≅ΔABC.........................(2)

From (1) and (2), we have

A'B'C'≅ΔDEF   [Transitive property of equality]

Therefore, the triangles remains congruent.

You might be interested in
The system of equations Y =-3x+2 and Y = 3x-6 is shown on the graph below.
Ira Lisetskai [31]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP I AM STRUGGLING!
allsm [11]

Answer:

SSS

Step-by-step explanation:

IM CORRECT

4 0
3 years ago
Read 2 more answers
The back of Monique's property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen
kondor19780726 [428]
So long as the perimeters are the same, rectangles and squares share the same area. For example, a square that is 2m by 2m across is 4m squared. A rectangle of 4m by 1m across is still 4m squared.

Therefore all we want to do here is see how big we can make our “square” perimeter using the creek. We have three sides to spread 580ft across, therefore if we divide this by 3, we get 193.3ft of fencing per side. If we then square this figure, we will then get the maximum possible area, which comes to 37,377ft squared. (That’s a huge garden).
3 0
3 years ago
Read 2 more answers
One month, ruby worked 8 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 136 hour
Travka [436]

Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for (x+8) hours.

And Svetlana worked four times of Ruby, therefore Svetlana worked for

4(x+8) hours

And total hours they worked together is 136. That is

x+x+8 + 4(x+8) = 136
\\
x+x+8 +4x+32=136
\\
6x+40 =136
\\
6x=96
\\
x =16 hours

So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .


6 0
4 years ago
You are standing on the middle rung of a ladder.
julia-pushkina [17]

8 ..................................

8 0
2 years ago
Read 2 more answers
Other questions:
  • How to you figure out tax rate? for example, 52.25 what an 8% sales tax
    12·2 answers
  • A computer sells for $995, which is marked up 35% of the selling price. the cost of the computer is:
    7·2 answers
  • Evaluate the expressions below for the given values. a. -4d + 3 if d = -1 b. k - m if k = 4 and m = -10​
    12·1 answer
  • Which measure of central tendency best describes situation the favorite fruit sold in the cafeteria explain
    14·1 answer
  • Is 5.18 rational or irrational
    7·1 answer
  • Tamita is making popcorn balls. She has 18.5 ounces of syrup. The recipe says that each batch of popcorn balls needs 4 ounces of
    6·1 answer
  • If you have 3 cups of glue u use 2/3 cup of glue how much slime can u make?
    14·1 answer
  • The Shirts For All shop keeps track of the total number of white and tie-dye t-shirts it sells. In one week, 500 shirts were sol
    14·2 answers
  • Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much
    12·1 answer
  • PLEWSE HELP ME WITH THIS!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!