Which quadrilateral must have diagonals that are
congruent and perpendicular?
1) rhombus
2) square
3) trapezoid
4) parallelogram

Answers

Answer 1

Answer:

2) Square

hope this help

Answer 2

The quadrilateral must have diagonals that are congruent and perpendicular is Square.

What are quadrilaterals?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

According to the question

Properties of following for their diagonals are :

Rhombus :

In a rhombus, diagonals bisect each other at right angles.

Diagonals bisect the angles of a rhombus.

Square:

The diagonals of the square bisect each other at 90°

The two diagonals of the square are equal to each other.

Trapezoid:

The length of both the diagonals is equal.

The diagonals of a trapezium always intersect each other.

Parallelogram:

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

Therefore, according to there properties for their diagonals condition

that quadrilateral must have diagonals that are congruent and perpendicular  is satisfied by square only .

Hence, the quadrilateral must have diagonals that are congruent and perpendicular is Square.

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Related Questions

The base of a right triangle is 2 meters greater than the height. If the area of the triangle is 100 m2, what are the dimensions of the base and the height?

Answers

Answer:

b = 15.2 m

h = 13.2 m

Step-by-step explanation:

The area of a right triangle is given by:

[tex] A = \frac{bh}{2} [/tex]    (1)

Where:

b: is the base

h: is the height

If the base is 2 meters greater than the height we have:

[tex]b = h + 2[/tex]   (2)

And if the area of the triangle is 100 m², the dimensions of the base can be found by entering equation (2) into (1):

[tex]100 m^{2} = \frac{(h + 2)*h}{2}[/tex]

[tex] 200 m^{2} = h^{2} + 2h [/tex]      

[tex] h^{2} + 2h - 200 m^{2} = 0 [/tex]  

By solving the above quadratic equation we have:

[tex] h = 13.2 m [/tex]

And by entering the above value into equation (2) we have:

[tex]b = 13.2 + 2 m = 15.2 m[/tex]

Therefore, the dimensions of the base and the height are 15.2 m and 13.2 m respectively.

I hope it helps you!                            

Determine if the function is even, odd, or neither.

Answers

Answer:

It is an even function.

f(t) = 2 cos πt

Thank you and please rate me as brainliest as it will help me to level up

Answer:

I think its odd as I guess.

Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​

Answers

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?​

Answers

KE = 1/2mv^2
96 = 1/2m(16)
96 = 8m
m = 12 kg

How do cells maintain homeostasis? Describe one way a cell will maintain stable internal conditions.

Answers

Answer:

One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.

help!!! i will mark the right answer brainliest. 7-8 plz

Answers

Answer:

7. (2,1) 8. (8,2)

Step-by-step explanation:

Step: Substitute4z−7foryin5y+3z=11:

5y+3z=11

5(4z−7)+3z=11

23z−35=11(Simplify both sides of the equation)

23z−35+35=11+35(Add 35 to both sides)

23z=46 Divide both sides by 23

x=2

Substitute2forxiny=4z−7:

y=4z−7

y=(4)(2)−7

y=1

Step: Solve2x+4y=24for x:

2x+4y+−4y=24+−4y(Add -4y to both sides)

2x=−4y+24

x=−2y+12

−2y+12forxin−2x+8y=0:

−2x+8y=0

−2(−2y+12)+8y=0

12y−24=0(Simplify both sides of the equation)

12y−24+24=0+24(Add 24 to both sides)

12y=24 Divide both sides by 12

y=2

Substitute2foryinx=−2y+12:

x=−2y+12

x=(−2)(2)+12

x=8

can someone please help me it’s a quiz and idk what to do!!!! pls

Answers

Answer:

plot a point at (0,-8) and another one at (5,-7)

Step-by-step explanation:

connecting the dots would create the slope

Create a point at (0,-8) and (-7,5) then connect to create a slope

Three inches of snow fell on Monday. Five inches of snow fell on Tuesday. One-half inch of snow fell on Wednesday. How much snow fell during these three days? Show your work in the space below. Don't forget to label the units on your answer.​

Answers

Answer:

9 and a half

Step-by-step explanation:


Xander ordered a pizza with 8 equal slices as shown in the image below.
Assi
Hapo
Thes
Ito see all
ared
If Xander ate 6 slices of pizza, what percentage of the pizza did he eat?

Answers

If he ate 6 slices he wouldve eaten 75% of the pizza

I seriously need help with this, can I get some?

Answers

Answer:

the Answer to this question is 34.87

Step-by-step explanation:

I hope this helps :)

re
What is the slope of a line that passes through the points (0, 1) and (2, 6)?

Answers

Answer:

5/2

Step-by-step explanation:

Y-y/x-x = 1-6/0-2 = -5/-2 = 5/2

one bucket of gravel has a mass of 7.05 kg. what is the mass of 20 buckets of gravel in kilograms?

Answers

The weight of 20 buckets is 141 Kg.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

weight of 1 bucket of gravel = 7.05

weight of 20 buckets = 7.05 x 20

                                    = 141 Kg

Hence, the weight of 20 buckets is 141 Kg.

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5TH GRADE MATH 15 POINTS GIVEN HELP

Answers

Answer:

The question?

Step-by-step explanation:

we need question to answer

Where’s the question tho-

Solve for the unknown number in the equation 478 + ________ = 457 + 77.

a 50
b 53
c 56
d 59

Answers

Answer:

56

Step-by-step explanation:

457+77

=534-478

= 56

74y−8−78y=−4y−8 how many solutions

Answers

Answer:

there is an  infinet amount of answers.

Step-by-step explanation:

Tessa's class had a math exam

Answers

Answer:

is dis a question. .......?????

Write an equation of the line that passes through the points (0,4) and (2, 10).

Answers

Answer:

y=3x+4

Step-by-step explanation:

Paula is the student council member responsible for planning an outdoor dance. Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.
Question 1: Band A charged $700 to play for the evening and Band B changers $550 plus $1.50 per student.
Write a system of equations to represent the cost of the two bands.

Answers

Answer:

C(x) = $700 ;

C(x) = $550 + $1.50x

Step-by-step explanation:

Given that :

Band A = $700 to play for the evening

Band B = $550 plus $1.50 per student

Equation for cost of the 2 bands :

Let

cost function= C(x)

x = number of students

Band A:

C(x) = $700

Band B:

C(x) = $550 + $1.50x

The total cost for band A is y = 700 while the total cost for band B is y = 550 + 1.5x

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the rate of change of y with respect to x, b is the y intercept.

Let y represent the total cost and x represent the number of students.

Band A charged $700 to play for the evening, hence:

For band A: y = 700

Band B changers $550 plus $1.50 per student, hence:

For band B: y = 550 + 1.5x

The total cost for band A is y = 700 while the total cost for band B is y = 550 + 1.5x

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URGENT
The measure of one of the acute angles in a right triangle is 24. what is the measure of the other angle?

Answers

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

determine the solution you would get for 4=8
A.one solution
B.infinte solution=identity
C. no solution

Answers

Answer:

C. no solution

Step-by-step explanation:

The answer is no solution (:

Write the number that is 3 million more than 648 000 000.​

Answers

Answer:

651,000,000

Step-by-step explanation:

Answer:

651,000,000

I think u knew this already tho :)

whats 58% of 200 Show your work​

Answers

Answer:

116

Step-by-step explanation:

58% of 200 = [tex]\frac{58}{100}*200[/tex]

                   = 58 * 2

                   = 116

Answer:

[tex]58\% \: of \: 200 \: is \: 116[/tex]

Love, gocry

1.
A and B are two overlapping subsets of a universal set U. Draw Venn-diagrams
and shade the regions that contain the element of the following set operations.
a) A UB
b) AB
c) A-B
d) B-A
e) A
f) B​

Answers

Answer:

Probably c

Step-by-step explanation:

Tbh

thianamccornell1 no one else

Answers

Answer:

Oh I see, that’s weird

Step-by-step explanation:

Maybe you have to wait a while or wait for somebody else to answer because that’s what happens to me sometimes

I ONLY NEED THE ANSWER FOR C. THE OTHER TWO ARE CORRECT. PLEASE HELP :(

Answers

Answer:

1.2 I think sorry if I'm wrong double check to see

Step-by-step explanation:

This is what I thought of oof so sorry if it incorrect

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

15, 30, 43?? please correct me if I'm wrong

can someone please help me with this ​

Answers

49
Explaining: because it’s the same as the other side

what is y - 7 = -12 ?​

Answers

y =-5
y-7=-12
y +7 =+7
y= (-12+7) which is -5

Answer: Y= -5

Step-by-step explanation: First, Add 7 to both sides to get the y alone because that's your goal here.

Then your all good

GIVING BRAINLIEST PLZZ HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x

with our equation being y = 5x + 5

hope this helps <3

Answer:

Step-by-step explanation:

It would be D because to know if its linear, x has to increase by 1 and y by a constant rate.

X increases by 1 and y increases by 5

I've attached a graph for you to see

If you have any further questions, don't be afraid to reach out! I hope this helps!

aye yo answer this please- 50+80-60=??

Answers

Answer:

70!

Step-by-step explanation:

Answer:

calculator says 70, so yeah.

Step-by-step explanation:

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