Triangle ABC undergoes a transformation using the rule (x,y) → (x + 7. y + 3) to form triangle A'B'C'. Determine if ABC is
congruent to A'B'C'. Explain your reasoning.

Answers

Answer 1

Answer:

ΔABC and ΔA'B'C' are congruent, by the SSS rule of congruency

Step-by-step explanation:

The given parameters are;

The transformation undergone by triangle ABC = (x, y) → (x + 7, y + 3) to give triangle A'B'C'

Therefore, the points on triangle ABC are transformed by a translation of 7 units to the right and 3 units up to form triangle A'B'C'

Given that a translation transformation is a form of rigid transformation, we have;

The lengths of triangle ABC are congruent to the lengths of the sides of triangle A'B'C'

Therefore. ΔABC ≅ ΔA'B'C', by the Side-Side-Side (SSS) rule of congruency.


Related Questions

4k^2 + 28k + 48 factor the polynomial​

Answers

4 (k+3) (k+) is the answer

12x+12=13x-1212x+12=13x−12

Answers

Answer:

6288

Step-by-step explanation:

what is the y and x intercept of 15x + 20y =1800?​

Answers

You can do this by doing 1800 / 15 which is 120 and 1800 / 20 which is 90
Which means that the x intercept is 120 and the y intercept is 90.
For the y-intercept equation, the x will always be 0. And vice versa.

20y = 1800
Divide by 20 on both sides

y = 90

15x = 1800
Divide 15 on both sides

x = 120

Kyla runs around a 400-meter track at a constant speed of 200 meters per minute. How many
minutes will it take Kyla to run 4 laps around the track?
Hint - 400 meters is one lap around a track

Answers

Answer: 8

Step-by-step explanation:

Answer:

If i'm not wrong 8 minutes.

Step-by-step explanation:

If you add all the meters together its adds up to 1600. It says you run 200 meters per minute so it will take 8 minutes to run around the track 4 times.


Using the SAS Congruence Theorem
Try it
Angles Segmenis Triangles Statements Reasons
Given: UK || LMJKLM
L is the midpoint of JN.
Prove: AJLKALNM
ZLJK
ZNIM
VA
J
K
Statements
Reasons
L
M
N
Assemble the proof by dragging tiles to
the Statements and Reasons columns.

Answers

Sorry this got to you super late. At least others looking for the answer can find it.

The proof by S A S congruence rule is given below.

Given from fig, JK || LM.

And JK = LM

Since JK is parallel to LM and JN is a transversal so the angle made on the same side of JN are corresponding angles which are equal to each other.

So, angle KJL = angle MLN........equation 1

Also given L is the midpoint of JN so, JL = NL.....equation 2

Now, in triangle JLK and triangle LNM

JK = LM (given)

angle KJL = angle MLN (from 1)

JL = NL (from 2)

So by S A S congruence rule, triangle JLK conguent triangle LNM proved.

For more details on S A S congruence rule follow the link:

https://brainly.com/question/11804042

I need help with this problem on homework

Answers

The side given is 110*, and the side underneath that is 90*. If you add it together, That's 200*. Due to the sum property of a quadrilateral, we know that the angles must add up to 360* in total. So, we can simplify it as following.

(2x) + (x+10) = 360-200

2x + (x+10) = 160

2x + x = 160-10

2x + x = 150

x = 50

Can Someone help me with this Question?

Answers

Answer:

y=C-Ax÷B

Step-by-step explanation:

Ax+By=C

-Ax -Ax

By= C-Ax

—————

B

y=C-Ax

——–

B

What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?


A. R = {-17, -9, -1, 17}


B. R = {1, 7, 9, 17}


C. R = {-7, -1, 9, 17}


D. R = {-7, 1, 9, 17}

Answers

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[tex]f( - 4) = 4( - 4) + 9 = - 7[/tex]

_________________________________

[tex]f( - 2) = 4( - 2) + 9 = 1[/tex]

_________________________________

[tex]f(0) = 4(0) + 9 = 9[/tex]

_________________________________

[tex]f(2) = 4(2) + 9 = 17[/tex]

_________________________________

Thus ;

R = { - 7 , 1 , 9 , 17 }

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The correct answer is (( D )) .

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need answers to both questions ​

Answers

Answer: -4c+12

all real numbers

Step-by-step explanation:

6) 28-(3c+4) =2 (c+6)+c

When there is a - in front of an expression in parentheses , change the sign of each term of the expression.

28-3c-4=2(c+6)+c

Distribute 2 through the parentheses

28-3c-4=2c+12+c

Now we do the same thing only different way

2(c+6)

Multiply each term in the parentheses by 2

2c+2×6

Multiply the numbers

2c+12

_____________

28-3c-4=2c+12+c

subtract the numbers

24-3c=2c+12+c

Collect like terms

24-3c=3c+12

It's the same thing only different way ok

2c+c

If a term doesn't have a coefficient , it is considered that the coefficient is 1.

2c+1c

Collect like terms by adding their coefficients

(2+1)c

Add the numbers

3c

________

24-3c=3c+12

Move variable to the left hand side and change its sign

24-3c-3c=12

Move constant to the right  by adding its opposite to both sides

-3c-3c+24-24=12-24

eliminate the opposites

-3c-3c=12-24

Collect like terms

-6c=12-24

Calculate the difference

-6c=-12

so the same thing only different way ok

12-24

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.

-(24-12)

Subtract the numbers

-12

__________

-6c=-12

divide both sides of the equation by -6

-6c÷(-6)=-12÷(-6)

Any expression divided by itself equals 1

c=-12÷(-6)

Dividing two negatives equals a positive

(-)÷(-)=(+)

c=12÷6

Calculate the quotient

c=2

Answer : 2

7) no solution

Which value is an output of the function?
-6
-2
4
7
Yeah

Answers

Answer: f(x)

Step-by-step explanation:

PLEASE HELP QUICKLY Evaluate 12 + 4 x 3 - 15

Answers

Answer:

15

Step-by-step explanation:

4×3=12 15-12=3 3+12=15

Equation 1: y=4
Equation 2: y=3/5x + 1
what is the solution?
A) (4,4)
B) (5,4)
C) Infinite Solutions
D) No solution

Answers

Answer:

2828188374737191

i thik

Solve the formula for w.

Answers

Answer:

w = (P-2l) / 2

Step-by-step explanation:

P = 2l + 2w. (Given)

2w = P-2l

w = (P-2l) / 2

PLS NEED HELP! THIS IS DUE IN 10MIN!!!!

In trapezoid ABCD, points M and N are arbitrary points on bases AB and CD respectively. Find the area of the trapezoid, if area A ABM =23 cm and area A CMD =18 cm . Find the area of the trapezoid

Answers

Answer:

41!!!!!

Step-by-step explanation:

what should be added to 7 4/15 to get 8 2/5​

Answers

Answer:

yeezys

Step-by-step explanation:

bruh

1 1/15 would be added. BRANLIEST? :)

please help with this 17 points

Answers

Answer:

x represents the amount of burgers you order at a restaurant and they each cost $5 y represents your total in cost of $ so if you get 3 burgers for 5 dollars each y= $15

Step-by-step explanation:

The Martin family’s truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.

Answers

Answer:

175 miles

Step-by-step explanation:

25x7

PLEASEEEEE I NEED HELP WITH THIS!!
Solve for x.
5
6X 30
7 1
X+ x =
5*= -52
x =
(Type an integer or a simplified fraction.)

Answers

The answer is for x is x = 60

Answer:

x = 60

Step-by-step explanation:

Sarah needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The fixed fee to use the studio is $150 and the total cost charged for 2 hours is $300. Write an equation for P,P, in terms of t,t, representing the amount of money Sarah would have to pay to use the studio for tt hours.

Answers

Answer:

[tex]P=150+150t[/tex]

Step-by-step explanation:

Let P denotes the total cost and t denotes the time.

Total cost for 2 hours = $300

So,

Cost for 1 hour = [tex]\frac{300}{2} =\$150[/tex]

Also,

Fixed fee to use the studio = $150

The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio.

Therefore,

Total cost = Fixed fee to use the studio + Hourly fee for each hour in the studio

[tex]P=150+150t[/tex]

I neeeeeed help with the math
30 points​

Answers

Answer:

The correct answer would be D also written as 101, 202, 303, 404, 505

Step-by-step explanation:

HAVE A GOOD DAY!

18 less than half a number is 6

Answers

Answer:

48

Step-by-step explanation:

18 less than half a number is 6.

So this is the formula:

X/2 - 18 = 6.

You can add 18 to 6.

X/2 = 24.

You can now multiply by 2.

X=48

NEED THE ANSWER ASAP!! Find the measure of the missing angle X

Answers

Answer:

i think is 50

Step-by-step explanation:

Zoe makes a total of $72.85 selling cookies and cupcakes at a bake sale. If she sells 17 cupcakes for $3.25 each, how many cookies does she sell at $1.60 each? Make sure to explain how you got your answer.

Answers

Answer:

46. or 45.5 if not rounded

Step-by-step explanation:

We know she makes $72.85 at selling cookies if she sales 17 cupcakes for $3.25 she'll make $55.25 but were trying to find how many she sales with $1.60 so $72.85 divided by 1.60 is 45.5 and if not then it's 46. rounded.

Can someone explain or help me with these problems
Please and thank you

Answers

Answer:

1st picture (tri) = 16y+8

2nd picture (tri) = 12x-9

3rd picture (sq) = 21x+35

Step-by-step explanation:

Triangle area = (Base x Height) divided by 2

#1.)  16(2y+1) = 32y + 16            (32y+16)/2 = 16y+8

If you need more explination ask me :)

What 2 whole numbers is square root of 150 between

Answers

Answer:

150 lies between 12 and 13

Step-by-step explanation:

150- the square root would be between 12 and 13. You can try to check yourself by multiplying 12•12 and 13•13 to see its in between.

16
Find the slope of the line that passes through the ordered pairs (3,5) and (35)
look

Answers

Answer:

3,5?

Step-by-step explanation:

Name the line and plane shown in the diagram.

Answers

Answer:

Step-by-step explanation:

its C. NM and plane PO

Mary is making some shots for her school's drama department the fabric store has three and one six yards of fabrics she wants and in stock but this quantity of fabric can only make one and one third shirts what like the fabric does Mary need to buy if she wants to sew two shirts

Answers

Answer:

I rally dont know

Jaime is 48 years younger than Jessica. 8 years ago, Jessica's age was 4 times Jamie's age. How old is Jaime now?

Answers

Answer:

I think 50 i may be wrong though

Step-by-step explanation:

at her bakery Sherry has 6 1/2 pounds of cherries to make tarts. if she uses 1/4 pound of cherries for each tart. how many tarts can she make?

Answers

Answer:

Step-by-step explanation:

No of tarts she can make = 6 1/2 ÷ 1/4

= 26 tarts

bro i couldn’t even tell you. man schools way to hard right now i might drop out
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