Quadrilateral ABCD with parallel sides AB and
CD is shown below.
Quadrilateral RSTU is the image of quadrilateral ABCD after a transformation. Which statement is true?
B
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU
are not necessarily parallel.
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS
must be parallel or on the same line.
D
If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not
necessarily parallel or on the same line.
If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides
RS and T'U must be parallel.

Quadrilateral ABCD With Parallel Sides AB AndCD Is Shown Below.Quadrilateral RSTU Is The Image Of Quadrilateral

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

The rotation or reflection will change the direction of the image but the translation will leave the corresponding sides parallel.

Now the answer choices:

A

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU are not necessarily parallel.

Incorrect. Since RS and TU are parallel sides of same figure, they will remain parallel regardless the mentioned transformation. B

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS must be parallel or on the same line.

Incorrect. Since AB and RS are corresponding sides of the figures, the rotation will result in different angle between those sides. C

If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not necessarily parallel or on the same line.

Incorrect. Since it is just  a translation, the corresponding sides will remain parallel. D

If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides RS and T'U must be parallel.

Correct. Since RS and TU are parallel sides of the same figure, they must remain as is regardless the reflection, rotation or translation.

Related Questions

Help please! Find the converse

Answers

Answer:

Step-by-step explanation:

The  converse of ~q  =>  ~p  is  ~p  =>  ~q.

The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.

Answers

9514 1404 393

Answer:

3/4vertical: 18 in; horizontal: 24 inno change

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.

help me do this please!

Answers

Answer:

m<ABD = 37°

m<DBC = 58°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x + 23 + 9x — 5 = 95

11x + 18 = 95

     -18     -18

--------------------

11x = 77

/11      /11

---------------------

x = 7

Now, plug this into the equation for m<ABD and m<DBC to find their values.

m<ABD = 2x + 23

= 2(7) + 23

= 14 + 23

= 37

m<DBC = 9x — 5

= 9(7) — 5

= 63 – 5

= 58

Now, check to see if our values are right or not.

2x + 23 + 9x — 5 = 95

2(7) + 23 + 9(7) — 5 = 95

14 + 23 + 63 – 5 = 95

100 – 5 = 95

95 = 95 CORRECT

Determine whether the given value is a statistic or a parameter. A study was conducted of all 1575 workers in a certain state.

Answers

Answer:

Step-by-step explanation:

19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these​

Answers

Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]

From the first equation, multiply by two:

[tex]2ab = 240[/tex]

Add the two equations together:

[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]

Simplify and rewrite:

[tex]a^2+2ab+b^2 = 529[/tex]

Factor using the perfect square trinomial pattern:

[tex](a+b)^2 = 529[/tex]

And take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?​

Answers

A=1/2H(b1+b2)
1800= 1/2h(50+40)
1800=1/2h(90)
1800=90h
h= 20
So the width is 20 meters

I will mark as brainliest if you can answer. :)

Answers

not enough information

HELPPPPPP!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

no need to panic !

it is actually totally easy.

we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.

VT is almost a straight line (then that angle would be 180 degrees). but only almost ...

anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.

so

(14x - 11) + (12x + 7) = 178

14x - 11 + 12x + 7 = 178

26x - 4 = 178

26x = 182

x = 7

How to make 10000 by only using number 8, No matter what the operation is​
BRAINLIEST will be marked

Answers

Here is the answer

[tex]\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8[/tex]

Similar Question .

Write 1000 using 8

Answer:-

888+88+8+8+8

Answer:

One of the options comes from this:

10000/8 = 1250

It means 10000 contains 1250 of 8's:

1250 = 1111 + 139 = 1111 + 111 + 28 = 1111 + 111 + 11 + 11 + 6

The 8's to make 10000 are:

10000 = 8888 + 888 + 88 + 88 + 8 + 8 + 8 + 8 + 8 + 8

Hi, can you help me with these?
It's really hard :(​

Answers

Rachel will earn $85 in 10 hours :)

Here's the Solution:

Direct Variation

Y = kx

Given:

$34=k(4)

k = 34/4

k = 17/2

Y = kx

Y = (17/2) (10)

Y = 85

Hope this helps :)

(2x + 5) + (x + 4) =

Answers

Answer:

3x + 9

Step-by-step explanation:

(2x + 5) + (x + 4)

Distribute the + to all numbers/variables

2x + 5 + x + 4

Combine like terms:

2x + 5 + x + 4

3x + 5 + 4

3x + 9

Hope this helped.

Which compound inequality could this graph be the solution

Answers

Answer:

A. 3x+14≥ 2 or 1-x ≥-5

Step-by-step explanation:

the solutions should be x≥ -4 or x ≤6

and the right answer is :

3x + 14≥ 2

3x ≥ -12

x≥ -4

1-x ≥ -5

-x ≥ -6

x ≤ 6

A. 3x+14≥ 2 or 1-x ≥-5

I need help with this homework
2x^2+ 7x+ 5= 0

Answers

Answer:

x = -1 or/and -5/2

Step-by-step explanation:

:)

A total of 621 tickets were sold for the school play day for the school play they were either adult tickets or student tickets it there were 71 more student to get sold then adult tickets how many adult tickets were sold

Answers

Answer:

275 student tickets and 346 adult tickets

Step-by-step explanation:

621-71=550

550÷2=275+71346

Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in

Answers

Answer:

[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]

union and intersection of sets

Answers

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

Union

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

Someone please help me on this!
Which statements are true about the
transformation (x,y) → (x - 1 y +4)?
A The transformation is a non-rigid
motion.
B The transformation slides the figure
to the left 1 unit and up 4 units.
C The transformation is a rigid motion.
D The transformation slides the figure to
the right 1 unit and down 4 units.

Answers

Answer:

b and c

Step-by-step explanation:

b is obvious since you can just plug In a point to solve

but c is a bit trickier a rigid motion is a transformation that doesn't change size or shape and we are just moving points which have same size so c is true.

Help please asap first answer get brainliest
Beging you please

Answers

Answers:

12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15

13. 2/4*4/6 = 8/24 = 1/3

14. 3/4*3/6 = 9/24 = 3/8

15. 2/6*4/6 = 8/36 = 2/9

16. 2/4*1/6 = 2/24 = 1/12

17. 3/4/1/6 = 18/4 = 9/2

18. 3/4/2/4 = 12/8 = 3/2

19. 3/6/4/6 = 18/24 = 3/4

20. 5/7+2/7 = 7/7 = 1

21. 4/5+5/7 = 53/35

22. 3/5+5/5 = 8/5

23. 1/6-1/6 = 0

24. 3/7-2/3 = -5/21

25. 3/5-2/7 = 11/35

find the area of point b??

Answers

Answer:

78.5 in^2

or

506.7 cm^2

Step-by-step explanation:

r = 5 in = 12.7 cm

Area of circle

[tex] = \pi \times {r}^{2} [/tex]

Solve for x in 5x²-42-1=0, using factorization method

Answers

Answer:

x=2.932576,−2.932576

A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?

Answers

Answer:

ANSWER 5.3 miles

See IMAGE FOR SOLUTION

FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!

Find u.


A. 2√2

B. 2

C. 4

D. √2

Answers

Answer:

u=2 root 2

Step-by-step explanation:

All 45 45 90 degree triangles follow the same pattern

When solving secθ=−4.2 for 180°≤θ≤360°, how many possible answers are there?

0
1
2
unable to determine

Answers

I believe there is only one answer

9 * (-3/5) ^5


evaluate

pls help :)

Answers

Answer:

[tex] - \frac{2187}{3125} [/tex]

Step-by-step explanation:

[tex]9 \times ( \frac{ - 3}{5} )^{5} [/tex]

[tex]( \frac{ - 3}{5} {)}^{5} = \frac{( - 3 {)}^{5} }{ {5}^{5} } [/tex]

[tex] \frac{ - 243}{ {5}^{5} } = - \frac{ 243}{3125} [/tex]

[tex] - 9 \times ( - \frac{243}{3125} )[/tex]

[tex] = - \frac{2187}{3125} [/tex]

(X + ____ ) ^2 = _____

Answers

Answer:  1/4 first box  33/16 second box

Step-by-step explanation:

look at pictures for AnSwEr

Math is?

At least 5 sentences

Answers

Answer:

1.The subject which we learn calculation multiplies devide substation etc.

2.Math is a kind of subject which we can practice more from this subject.

3.Math is an example of life process because if we are talent in math then we can solve the many kaild of problem related in our life..

4.Math also help as to increase our bran pour of we try to solve hard to hard problem..

Think you at last math is importent to as

Y varies directly with x and y=8 when x=-5

Answers

Answer:

Y=K×X...... equation

When,Y=8 and X=-5

To find the constant (K)

we substitute for K in the equation

8=K×-5

8=-5K divide both sides by -5

8÷-5=-5K÷-5

K=-1.6

I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.

Answers

Answer:

17

Step-by-step explanation:

17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.

Answer: 17

Step-by-step explanation:

1+7=8

The ten digit is (1) 6 less than the one digit (7)

¾ + ½ =
Plz help me
I neeeeed help

Answers

1.25 would be the answer

answer

1.25

Step-by-step explanation:

[tex] \frac{3}{4} + \frac{1}{2} [/tex]

[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]

[tex] \frac{3 + 2}{4} [/tex]

[tex] \frac{5}{4} [/tex]

[tex]1.25[/tex]

I hope this will help you..please mark my answer as BRAINLIEST....

Estimate and solve:
67+35
89-54

Answers

Answer:

32

35

Step-by-step explanation:

hope this helps :D

Answer:

Estimate and solve:

67+35

89−54

Add 67 and 35.

102

Subtract 54 from 89.

35

List all of the solutions.

67+35=102

89−54=35

Step-by-step explanation:

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