All categories

2 years ago

Which statement is used to prove that quadrilateral abcd is a parallelogram

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

5 0

Answer:

Opposite sides must be congruent.

Step-by-step explanation:

Given is a picture of a quadrilateal ABCD

We have to prove that this is a parallelogram.

Recall the properties of parallelogram as

i) diagonals bisect each other

ii) opposite sides parallel

iii) opposite sides congruent

or iv) one pair of opposite sides equal and parallel

We have hence to get opposite sides congruent

So last option is right

You might be interested in

F(x)= x +4<br> g(x) = 3x<br> Work out the value of gf (5).

MrMuchimi

The value of gf(5) for the given two expressions is 135.

According to the question,

We have the following information:

f(x)= x +4

g(x) = 3x

Now, in order to find the value of gf(5), we will first find the value of gf.

Now, we will multiply these two expressions:

3x(x+4)

Now, the terms outside the brackets need to multiplied inside the bracket:

$3x^{2} +12x$

Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:

3*5*5+12*5

75+60

135

Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.

To know more about value here

brainly.com/question/20562282

#SPJ1

8 0

11 months ago

Jill gets paid every two weeks her last paycheck was 1503.50 if she earns 24.25 per hour how many hours did she work

Maurinko [17]

She would have worked 62 hours in total

3 0

3 years ago

Students at a school were asked to nominate their favorite teachers for an award. These were the results: 57% voted for Ms. Jone

Vesnalui [34]

Can we get a picture of the graphs ?

8 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-4, 6) and

mezya [45]

6= - 5/4 (-4) +b
6=-5+b
11=b
y=-5/4+11

6 0

2 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

VladimirAG [237]

Answer:

$\boxed{108\sqrt{3}\text{ in}^{2}}$

Step-by-step explanation:

An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.

The three apothems OD, OE, and OF divide ∆ABC into six smaller congruent triangles.

1. Area of ∆OCD

CotOCD = OD/OC

cot30 = CD/6

√3 = CD/6

CD = 6√3

A= ½bh

A = ½ × 6√3 × 6 = 18√3 in²

2. Area of ∆ABC

A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²

$\text{The area of the triangle is }\boxed{108 \sqrt{3} \text{ in}^{2}}$

7 0

3 years ago

Read 2 more answers