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BartSMP [9]
2 years ago
6

Determine if the two figures are congruent and explain your answer using transformations.

Mathematics
1 answer:
IRISSAK [1]2 years ago
7 0

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

BC = FG = √5,

CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

You might be interested in
A suitcase measures 24 inches long and the dialogue is 30 inches long. How much material is needed to cover one side of the suit
borishaifa [10]

Answer:

432 in.^2

Step-by-step explanation:

The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.

We use the Pythagorean theorem,

a^2 + b^2 = c^2

(24 in.)^2 + b^2 = (30 in.)^2

576 in.^2 + b^2 = 900 in.^2

b^2 = 324 in.^2

b = sqrt(324 in^2)

b = 18 in

area of rectangle = length * width

A = 24 in. * 18 in.

A = 432 in.^2

6 0
3 years ago
HELP ASAP
Vera_Pavlovna [14]

Answer:

arc AC = 111°

Step-by-step explanation:

∠APC is a central angle, so arc AC is equal to the measure of ∠APC.

∠APC and ∠BPC are supplementary.  So, m∠APC + m∠BPC = 180

m∠APC + 69 = 180

m∠APC = 111

arc AC = 111°

8 0
2 years ago
You have $40 to spend on n gallons of gas that costs $3.25 per gallon. ​
Citrus2011 [14]

Answer:

You can buy 12 gallons of gas.

Step-by-step explanation:

I took 40 and 3.25, then divided them.

I got a very large ugly decimal. When simplified it is 12.

5 0
3 years ago
17. Find the length of the hypotenuse of an isosceles right triangle whose legs measure
defon

Answer:

4.950 m

Step-by-step explanation:

3.5^2+3.5^2=hypotenuse^2

3 0
2 years ago
I don’t know the answer to that one can you help me please
dybincka [34]

Answer:

16/45

Step-by-step explanation:

Step 1:  When dividing fractions, use “KFC”.  It means Keep the first fraction, Flip the second one, and  

              Change it to multiplication

-4/20 ÷ -9/16    →    -4/20 ∙ 16/-9

Step 2:  Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end.  It’s easier arithmetic to reduce at this step.  The first fraction reduces because both the numerator and denominator are divisible by 4.  

-1/5  ∙   16/-9    

Step 3:  Multiply numerators and denominators together to get one fraction

(-16)/(-45)  

Step 4:  Cancel out the negatives, a negative divided by a negative is a positive.  Our final answer is

 

16/45  


4 0
3 years ago
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