All categories

3 years ago

Which statements prove that a quadrilateral is a parallelogram?

Mathematics

2 answers:

Ad libitum [116K]3 years ago

7 0

Answer:

1st and 2nd statements are true.

Step-by-step explanation:

We are asked to choose the correct statements that can prove that quadrilateral DEFG is a parallelogram.

We will use parallelogram properties to answer this problem.

Since we know that a parallelogram has two sets of opposite angles congruent, therefore, 1st option is a correct choice.

Since a parallelogram has one set of opposite sides that are both congruent and parallel, therefore, second statement is true.

Since the consecutive angles of a parallelogram are supplementary, therefore, 3rd statement is not true.

Since the diagonals of parallelogram bisect each other, therefore, 4th statement is not true.

Hatshy [7]3 years ago

5 0

Answer:

a.Quadrilateral DEFG has opposite angles that are congruent then it is a parallelogram.

b.Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.Then , it is parallelogram.

Step-by-step explanation:

We have to find the statement which prove that a quadrilateral is a parallelogram.

We know that property of parallelogram

1.Opposite sides are congruent and parallel.

2.Opposite angles are congruent.

3.Sum of consecutive angles are supplementary.

4.Diagonals of parallelogram bisect to each other.

a.Quadrilateral DEFG has opposite angles that are congruent then it is a parallelogram.

It is true.

b.Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.Then , it is parallelogram.

It is true.

c.Quadrilateral DEFG has two sets of consecutive angles that are complementary .

It is false because sum of consecutive angles are supplemenatry.

d.Quadrilateral DEFG has diagonals that are congruent .

It is not true because it is not necessary but the diagonals of parallelogram bisect to each other.

You might be interested in

At which point would the graphs of the equations below intersect?

Serhud [2]

Answer:

can't explain without you arranging your mathematical expression

3 0

2 years ago

Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x t3 t5 dt 0

salantis [7]

Using the fundamental theorem of calculas the derivative of function g(x)= $xt^{3}+t^{5}$ at x=0 is $t^{3}$ .

Given a function g(x)= $xt^{3}+t^{5}$ .

We are required to find the derivative of the function g(x) at x=0.

Function is relationship between two or more variables expressed in equal to form. The values entered in a function are part of domain and the values which we get from the function after entering of values are part of codomain of function. Differentiation is the sensitivity to change of the function value with respect to a change in its variables.

g(x)= $xt^{3}+t^{5}$

Differentiating with respect to x.

d g(x)/dx= $t^{3}$ +0 [Differentiation of x is 1 and differentiation of constant is 0]

= $t^{3}$

Hence using the fundamental theorem of calculas the derivative of function g(x)= $xt^{3}+t^{5}$ at x=0 is $t^{3}$ .

The function given in the question is incomplete. The right function will be g(x)= $xt^{3}+t^{5}$ .

Learn more about differentiation at brainly.com/question/954654

#SPJ4

5 0

1 year ago

Which inverse operation would be used to verify the following equation?

Oksi-84 [34.3K]