Quadrilateral ABCD has both reflection and rotation symmetry. What type of quadrilateral could it
be? Show or explain.

Answers

Answer 1

Answer:

Rhombus

Step-by-step explanation:

So if |AB| = |BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely \overleftrightarrow{BD}. Quadrilateral ABCD is what is called a kite.

Since ℓ contains two vertices of ABCD the other two must be reflections of one another about ℓ. In the picture ℓ goes through A and C and D=rℓ(B). So rℓ interchanges AD¯¯¯¯¯¯¯¯ and AB¯¯¯¯¯¯¯¯ and also interchanges CB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. So if |AB|=|BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely BD←→. Quadrilateral ABCD is what is called a kite. Note that we have implicitly used the fact that ABCD is convex: without this hypothesis, the vertex C could be reflected over BD←→, giving a non convex quadrilateral with exactly one line of symmetry.

Answer 2

Rectangle has rotational and reflectional symmetry.

What is Quadrilateral?

A quadrilateral is a polygon having four sides, four vertices and four angles.

Given that;

Quadrilateral ABCD has both reflection and rotation symmetry.

Now,

A rectangle ABCD has a reflection symmetry because it has two line of symmetry.

And, Rotational symmetry is defined as the number of times an object is exactly identical to the original object in a complete 360° rotation.

So, Rectangle ABCD has rotational symmetry.

Thus, Rectangle has rotational and reflectional symmetry.

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Related Questions

Help please!! Geometry

Applying angle pair relationships

Answers

Answer:

m∠2 = 75°

m∠1 = 105°

Step-by-step explanation:

1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.

2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.

[tex]180-75[/tex] [tex]105[/tex]

Therefore, m∠1 = 105°.

Help ASAP I’m lost on this question

Answers

Answer: did u get it right

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x ÷ (6x² -10x) and

[tex]\dfrac{2x}{6x^{2}-10x}[/tex]

Proportional Relashinships

Answers

Answer:

good

Step-by-step explanation:

for points don't take serious

If (a + b)^2 = a^2 +n + b^2 , what is n?​

Answers

Answer:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]

if (a+b)^2=a^2+n+b^2, n= 2ab

My friend needs help!

Answers

[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]

So, option (c) will be correct

Cheerio :)

please helpp I'll give brainiest

Answers

Answer:

q + q + 4

Step-by-step explanation:

q + q +4

3. A cosmetic retailer surveyed 200 customers on which of their top two lipstick shades the
customers preferred. The results are shown in the table. Find the probability of randomly
selecting a customer who prefers the Pretty Pink shade, given they are among the group of 30-
year-olds?

Answers

Answer:

.440

Step-by-step explanation:

Based on the number of people in the 30 - 39 age group, the probability of picking one who prefers Pretty Pink is 0.440.

What is the probability of a Pretty Pink preference in 30 - 39?

This can be found as:

= Number of 30 - 39 year olds who preferred Pretty Pink / Total number of 30 - 39 year olds surveyed

Solving gives:

= 22 / (28 + 22)

= 22 / 50

= 0.440

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Please help im so lost Ty btw

Answers

Answer:

1) gradient  (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2  m = -2/1  means = m = -2  (negative slope)   2)  gradient  y2-y1 / x2-x1 = 3-0 / 2-0  = 3/2 = (1 1/2)/1   m = 1 1/2  (positive slope) we use the formula y-values divided by the change in the x-values.    The equation of the gradient each goes like this 1) y = -2x   as y is at origin nothing else to add     The equation of the gradient each goes like this 2) y = 1  1/2x     The equation of the point formula  1) we take the y -y1 = m (x +x 1)  =  y-0 = -2x (x +0)  (as m = -2) y = -2(x +0)   and  The equation of the point formula  2)  y - 0 = m ( x +x1)     y - 0 = 1 1/2( x +0)  = y = 1 1/2( x +0)

Help needed ASAP!!!!!!!

Answers

Answer: 4 is 110 degrees  and 3 and 1 is 70 degrees.

Step-by-step explanation: 4 is equal to 2 so 4 is 110 degrees 4

110 x 2 = 220  360 - 220 = 140/2 = 70 so 3 and 1 = 70 degrees

&
b.
In the diagram, transversal tcuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows they are
congruent.
alternate exterior angles
22, 23 and 25, 28
alternate interior angles
21, 28 and 22, 27
corresponding angles
23, 26 and 24, 25
vertical angles
21, 25 and 22, 26

Answers

Answer:

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figurewe know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

Step-by-step explanation:

THIS IS NOT MY ANSWER

Congruent angles are angles with equal measures

How to match the pair of angles with their relationships?

Angles between parallel lines and transversals are congruent by any of the following relationships

Alternate exterior anglesAlternate interior anglesCorresponding anglesVertical angles

Using the above angle relationships, the classifications of the angles are:

Alternate exterior angles

m∠2=m∠7

m∠1=m∠8

Alternate interior angles

m∠3=m∠6

m∠5=m∠4

Corresponding angles

m∠1=m∠5

m∠3=m∠7

m∠2=m∠6

m∠4=m∠8

Vertical angles

m∠1=m∠4

m∠2=m∠3

m∠5=m∠8

m∠6=m∠7

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what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)

Answers

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

y+5/x+4=1/2

so 2y+10=x+4

2y-x=-6

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)

Perpendicular lines have slopes that multiply to get -1.

So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]

Substitute:

-2m=-1

Divide both sides by -2

m=[tex]\frac{1}{2}[/tex]

Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):

[tex]y=\frac{1}{2}x+b[/tex]

We need to find b.

Because we know the line passes through the point (-4, -5), we can use it to help solve for b.

Substitute -4 as x and -5 as y

[tex]-5=\frac{1}{2}(-4)+b[/tex]

Multiply:

-5=-2+b

Add 2 to both sides

-3=b

Substitute -3 as b:

y=[tex]\frac{1}{2}x-3[/tex]

Hope this helps!

Sarah and Maya must split the $15 they earned, from scorekeeping a volleyball game. Sarah says, “ there’s only one way to split this money, we both get $7.50.” Maya argued that there were an infinite number of ways to divide the money. Who is correct? Prove their argument.


(Please help!)

Answers

Answer:

sarah is correct

Step-by-step explanation:

there are not multiple ways to divide you can only use division and the equation is 15/2

What is the missing side length of this right triangle? Type the answer in the box.
13 in.
5 in.
х
1

Answers

Answer:

12 in

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the missing side , then

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C(5.-5) are translated to B' and C' respectively. What are the coordinates of B' and C'?

Answers

Answer:

B' (- 6, - 6 ) , C' (- 7, - 7 )

Step-by-step explanation:

Consider the coordinates of A and A'

A (- 1, - 1 ) , A' (- 3, - 3 )

- 1 to - 3 in both the x and y direction means subtracting 2 units , then

translation rule is

(x, y ) → (x - 2, y - 2 ) , then

B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )

C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )

Please please help me with this question please now and show your steps

Answers

y = x^2 - 8x + 7

a) y-intercept

The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).

b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.

0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +____)(x+ ____)

The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)

So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0

So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7

x-1=0
x= 1

The zeroes are at the points (1, 0) and (7, 0)

C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)

y = x^2 - 8x + 7
y - 7 = x^2 - 8x

We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).

So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).

(x-4)(x-4) multiplies out to x^2 - 8 + 16.

continuing,
y - 7 = x^2 - 8x

Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16

y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.

The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.

D. The vertex is solved in C as the point (-4, -9).

A hiker wants to determine the height of a tree. She measures the tree shadows to be 17.1 m long her own shadow at the same time is 1.8 m long the hiker is 1.7 m tall how tall is the tree

Answers

x/17.1 = 1.7/1.8

x = 17.1*1.7 /1.8

Height of tree = 16.15 m

explain step by step please and thanks

Answers

Answer:

B

Step-by-step explanation:

5(h)=w+8. get rid of 5 by multiply

5h=w+8

w=5h-8

evaluate 2/6 + 1/3 + 1/2 = ?​

Answers

Answer:

2/6 + ⅓ + ½

= (2+2+3)/6

= 7 / 6

= 1⅙

Step-by-step explanation:

brainliest plz

Answer:

1  1/6

Step-by-step explanation:

Find the common denominator for 6, 3, 2

6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.

Convert all the fractions into sixths.

The first fraction is already done.

1/3.....  the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.

1/3 x 2/2 = 2/6

1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.

1/2 x 3/3 = 3/6

Now you have

2/6 + 2/6 + 3/6 = 7/6

Simplify the answer

6/6 = 1  so remove 6/6 from 7/6 and you are left with just 1/6

So your answer will be 1 and 1/6  or  1  1/6

1.Find the rate in the unit given, 78 liters in 2 hours (liters per hour) ?

Answers

ANSWER:

1. 9.75

hope it helps you

can you brainlest me

which technolgy is nasa devloping that will help astronaughts reach mars?

Answers

Answer:

The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.

Step-by-step explanation:

I hope this will help you

Evaluate -5x+8 when x=3 The value of the expression is

Answers

Answer:

-7

Step-by-step explanation:

replace x by 3

-5^3+8

-15+8

=-7

the answer is -7
-5x+8
-5(3)+8
-15+8
-17

It takes 1 1/3 cups of cherries to make a cherry pie. Larry wants to make 5 cherry pies. How many cups of cherries will Larry need?

Answers

he will need 6 2/3 cups of cherries to make 5 cherry pies

Answer:

Larry will need 6 and 2/3 cups of cherries.

Step-by-step explanation:

since one pie takes 1 1/3 cups, you would want to multiply that by 5 to see how many cups it will take for 5 pies. When you do this, you get a mixed number of 20/3 which simplifies to 6 2/3. I hope this helps.

Help!!!!!
factor 3^2+15x-42

Answers

Answer:

3(5x−11)

Step-by-step explanation:

32+15x−42

15x−33

=3(5x−11)

First person to answer will be marked brainliest

Answers

Answer:

b is the answer ........

2x+10=12
so x=??
[tex]\huge \dag \sf{Help \: me}[/tex]​​

Answers

Answer:

[tex]\sf\longmapsto\sf\boxed {x = 1}[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x + 10 = 12[/tex]

[tex]\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10[/tex]

[tex]\sf\longmapsto \: 2x = 2[/tex]

[tex]\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} [/tex]

[tex]\sf\longmapsto \: x = 1[/tex]

Answer:

[tex]\boxed {\sf x=1}[/tex]

Step-by-step explanation:

[tex]\sf 2x+10=12[/tex]

[tex]\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}[/tex]

[tex]\sf 2x+10-10=12-10[/tex][tex]\sf 2x=2[/tex]

[tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}2}[/tex]

[tex]\sf \cfrac{2x}{2}=\cfrac{2}{2}[/tex][tex]\sf x=1[/tex]

[tex]\boxed{\sf Hope\: it\:helps!}[/tex]

There are 5 chaperones for every 14 kids on a field trip. If there are 152 people on the trip, how many of them are adults?

Answers

Answer:

there are 40 chaperones and 112 kids.

Step-by-step explanation:

5 chaps. plus 14 kids -- 19 people

152 people divided by 19 -- 8

chaperones = 5 x 8 kids = 14 x 8

how many significant digits are in the number 129,000,000,000 m?

Answers

Answer:

3

Step-by-step explanation:

There are 3 because only numbers with values higher than 0 are counted, unless there is a decimal.

Becuase there is no decimal at the end of this number, there are only 3 counted. Those counted are 1 2 and 9, and all of the 0s dont count.

If there was a decimal at the end this number, it would have been 12

Answer:

3

Step-by-step explanation:

1,2,9

If is wrong i'm sorry

i need an explanation what....wajfasjf

Answers

3y^2 i don’t know for sure

40 POINTS! Thank you so much if you answer!

Answers

Answer:

o

Step-by-step explanation:

o

thx for the points :D

(6m^2-3m+15)(4m-7) simplify

Answers

2 4[tex]m^{3}[/tex] − 5 4[tex]m^{2}[/tex] + 8 1 − 1 0 5

Answer:

24m^3−54m^2+81m−105

Step-by-step explanation:

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