Determine whether quadrilateral ABCD is similar to quadrilateral EFGH. If so, give the similarity statement. answers: A) The quadrilaterals are not similar. B) Impossible to determine. C) ABCD ∼ FEHG D) ABCD ∼ EFGH

D) ABCD ∼ EFGH

Step-by-step explanation:

From the given picture,

In parallelogram ABCD, ∠A= 80° .

In parallelogram EFGH, ∠E= 100° .

Since the sum of two adjacent angles in a parallelogram is 180°.

So, ∠A + ∠B = 180°

⇒ ∠B = 180° -∠A =  180°- 80° = 100°

So,  ∠B  = 100°

Similarly in parallelogram EFGH, ∠ E= 80° .

Also, the opposite angles of a parallelogram are equal,

∠A =∠C= 80°  and ∠B=∠D=100°

∠E =∠G= 80°  and ∠F=∠H=100°

So, the corresponding angles of both parallelograms are equal.

That means they are similar.

So the required similarity statement : ABCD ∼ EFGH

Hence, the correct option is D.

46.2+112.3

step-by-step explanation:

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.