Parallelogram RSTU is shown.
Ilan needs to prove that segment RS ≅ segment TU and segment RU ≅ segment TS. His proof is shown in the table below.

Step Statement
1 RSTU is a parallelogram
2 Side RS || Side TU and Side RU || Side TS
3 ∠RSU≅∠TUS and ∠RUS≅∠TSU
4 Side SU ≅ Side US
5 ΔRSU≅ΔTUS
6 Side RS ≅ Side TU and Side RU ≅ Side TS

Select all reasons that support one or more statements in the proof.

-symmetric property
-opposite sides of a parallelogram are congruent
-alternate interior angles are congruent
-corresponding parts of congruent triangles are congruent
-definition of a parallelogram

Answers

Answer 1

Answer:

alternate interior angles are congruent corresponding parts of congruent triangles are congruent definition of a parallelogram

Step-by-step explanation:

Step Statement ⇒ Reason

1 RSTU is a parallelogram ⇒ Given

2 Side RS || Side TU and Side RU || Side TS ⇒ definition of a parallelogram

3 ∠RSU≅∠TUS and ∠RUS≅∠TSU ⇒ alternate interior angles are congruent

4 Side SU ≅ Side US ⇒ reflexive property

5 ΔRSU≅ΔTUS ⇒ ASA postulate

6 Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ corresponding parts of congruent triangles are congruent

Related Questions

Your bedroom wall is 150 inches wide.You want to hang two posters,each 27 inches across,with an equal space between each poster and the wall edges.

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Answer:

Step-by-step explanation:

let the space be x

x + 27 + x + 27 + x = 150

3x + 54 = 150

3x = 96

x= 32

The answer is 32. Good job to the other person!

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Answer:

The answer is 21y(y + 5). hope this helps

What is the volume of a square pyramid that is 8 feet tall with base edges of 3 feet ?

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B.) 36 cubic feet

C.) 48 cubic feet

D.) 72 cubic feet

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the answer is a) 24 cubic feet

Answer:

i got it right on my test it is 24 cubic feet

Step-by-step explanation:

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This is going to be a reduction because there are phases of the sizes of this shape which is the trapezoid, the shapes here are shown as large and small. The amount of the shapes are going through the process of creating minimum of shapes within this problem.

HEY, PLEASE HELP ME SOLVE THIS MATH PROBLEM

25(1−2u)=35

(find 'u')

THE CORRECT ANSWER SHALL BE MARKED BRAINLIEST! THANKS XOXO

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Answer:

Hey

Step-by-step explanation:

you can look up

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How many pint are in 28 cups

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Answer:

14 pints are in 28 cups

Step-by-step explanation:

Answer:

14 pints in 28 cup

Step-by-step explanation:

What is the missing length?

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Answer:

Step-by-step explanation:

89^2-39^2=6400, 6400=80^2

The line has been partitioned into three angles. Is there a triangle with these three angle measures?

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La curva de 120 grados

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Answer:

Step-by-step explanation:

Given the figure below, calculate its perimeter.

Answers

Answer:

24.58

Step-by-step explanation:

In the big triangle, you see two little triangle

one of the little triangle is a 45-45-90 triangle (the number represent the angle measures of the triangle)

this means that the legs are the triangle can be considered one, and the hypotenuse can be considered [tex]\sqrt{2}[/tex]

so in any 45-45-90 triangle, if you have a leg that is 4, then you know the other leg is also 4, and the hypotenuse would be 4 times [tex]\sqrt{2}[/tex] (aka 5.65)

the other triangle is a 30-60-90 triangle (the number represent the angle measures of the triangle)

this means that the smallest leg of the triangle can be considered one, and the other leg (the bigger one) can be considered 2, and the hypotenuse can be considered [tex]\sqrt{3}[/tex]

so the smallest leg here is 4, this means that the other leg would be 2 times 4 (aka 8)

and the hypotenuse would be 4 times [tex]\sqrt{3}[/tex] (aka 6.93)

so the sides that count to the perimeter of the given triangle would be 4, 5.65, 8, and 6.93

add those up and you get: 24.58

Can someone please check my answers I WIILL GOVE BRAINLY TO FIRST PERSON THAT ANSWERS!
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C. h = 140

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B. k = 6six-sevenths
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Answers

the first is C. r = 4(4/9)
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i’m so sorry, they’re all wrong

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Answers

What scatter plot? I don’t see anything to help you.

Answer:

is there any more information

what is (6,2) rotated at 270 .

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Answer:

Step-by-step explanation:

What is 11x -2 (3x + 6)

Answers

The answer to this is 5x-12

Answer: 14x+4

Step-by-step explanation

Add the expressions.

11x -2+3x+6

Remove parentheses.

11 x -2+3x+6

Add 11 x and 3x

14x-2+6

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The area of the parallelogram is 5 times
the area of the triangle and its perpendicular
height is h cm.
Find the value of h.

The triangle is 7cm across and 24cm up and the parallelogram is 30cm across

Answers

Answer:

14 cm

Step-by-step explanation:

Given that:

Base, b of triangle = 5 cm

Height, H of triangle = 24 cm

Base of parallelogram, a = 30 cm

Area of triangle = 0.5 * bH

Area of parallelogram = a * h

Where, h = height of parallelogram

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If a woman has 10000 apples and sells 109 how many apples does she have left??

Answers

Answer:

Step-by-step explanation:

you had to subtract

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Step-by-step explanation

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Answers

9514 1404 393

Answer:

y = -3x^2 +3x +6

Step-by-step explanation:

For roots p and q, the equation can be written as ...

y = a(x -p)(x -q)

The value of 'a' must be determined so that the product apq is equal to the y-intercept. One could say that the formula is ...

y = (y-intercept)/(pq)·(x -p)(x -q)

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y = 6/(2(-1))(x -2)(x +1)

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Answers

Answer:

x>-1

Step-by-step explanation:

I NEED HELP ASAP!!!!!
Jasmine wants to save $174 for a trip to an amusement park. She sets aside $12 of her allowance at the end of each week. How many weeks will it take her to save enough money for the whole trip?

Answers

hopefully this can help

Answer:

15 weeks

Step-by-step explanation:

You divide $174 to $12 to get the number of weeks:

174/12 = 14.5

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Answers

Answer:

function 2

function 1

function 3

Step-by-step explanation:

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There are 31 fish in a tank. The fish are either orange or red. There are 7 more orange fish than the number of red fish. How many fish are orange? How many fish are red?

Answers

Answer:

There are 12 red fish, 19 orange fish

Step-by-step explanation:

Let y rep amount of red fish

y + 7 = Amount of orange fish

y + y + 7 = 31

2y = 31 - 7

2y = 24

y = 12

Then

y + 7

12 + 7 = 19

Nesesito de su alluda para aclarar esto porfa En una familia son 3 hermana desidieron c0ntratar internet por 9 meses cada mes se les cobra 300 pesos dos de ellas pagaron cuatro meses cada una pago 1200 y la otra pago solo un mes que son 300 pesos si ban por partes iguales entonses cuanto lestoca pagar alas tres y cuando se le renvolsara a ados de ellas que pagaron 1200 cada una

Answers

Answer:

Cada hermana debe pagar $900.

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This is a picture of the flag of Denmark.

On a clean page in your note book, do all the calculations to find the answer

What percent of the flag is covered in red color?

You need:
.Claim
.Evidence
.Reasoning
.All your calculations and work in detail

Answers

Answer:

76.4%

Step-by-step explanation:

Total area of flag:

LW = (37)(28) = 1036

Total area of red:

LW = (12 + 21)(12 + 12) = (33)(24) = 792

Percent of red:

792/1036 * 100% = 76.4%

Answer:

Total area of the Denmark flag:

→(37×28) unit²=1036unit²

Area of the red colour of the flag:

→[{2×(12×12)}+{2×(21×12)}]

=[{2×144}+{2×252}]

=[288+504]=792unit²

Percentage of the flag is covered in red color:

→(792/1036)×100=0.7645×100=76.45%

76.45% is the right answer.

A D = D B and A F = F C. D F = 14 and D E = 10. B C = [?]

Answers

Answer:25 i’m confused

Step-by-step explanation:

The measure of the side BC of the triangle is BC = 28

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as A B C

Let the second triangle be represented as D E F

Now , the measure of side A D = measure of side D B

And , the measure of side A F = measure of side F C

The measure of side D F = 14

The measure of side D E = 10

The triangles ABC and DEF are similar triangles

From the Triangle segment theorem ,

D F = B C / 2

Substituting the values in the equation , we get

14 = B C / 2

Multiply by 2 on both sides of the equation , we get

The measure of side BC of triangle = 28

Hence , the measure of side B C is 28

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

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