Which figure is a counterexample to the following statement?

Mathematics

1 answer:

Artemon [7]3 years ago

4 0

The correct option is D.

Option A. isn't even about quadrilater, so we can immediately discard it.

Option B. statement is true, but has nothing to do with the point of the question. In fact, it is true that every square is in particular a rectangle, but in turn every rectangle is a parallelogram. So, there's no counterexample here

Option C. is false, because a dart is a parallelogram: both of its opposite sides are parallel.

Option D. finally presents a counterexample. In fact, The two bases of a trapezoid are parallel, but the two other sides are not. So, a trapezoid is not a parallelogram, even though it has a pair of parallel sides. This is way, in order to be a parallelogram, it is necessary for the quadrilateral to have two pairs of parallel sides.

You might be interested in

Which of the following numbers is a multiple of 8?

Andru [333]

16, 24, 32, 40, 48, 56, 64, 72, etc.

8 0

3 years ago

Is this a linear function ?<br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%203%20%5E%7B2%7D%20%20%2B%202" id="TexFormula1"

Slav-nsk [51]

No its not a linear function i think

8 0

3 years ago

Which shape could be thought of as being created by stacking congruent polygons

Colt1911 [192]

When they talk about congruent polygons, they meant geometric figures that are all equal in shape and size.

It's angled, and the side length is equal too.

When you piled equal polygons, you'll end up with what we call prisms. It's the 3D form of a polygon.

If you stack squares, you'll have a cube.

If you stack octagons, you'll have an octagon prism.

7 0

3 years ago

Read 2 more answers

A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?

BARSIC [14]

We have that

the original (x,y) coordinates are being moved to the left by 3 units and up by 5 units.

therefore
the answer is the option
<span>(x, y) → (x – 3, y + 5)</span>

3 0

3 years ago

Read 2 more answers

The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%

liq [111]

<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by $\frac{100+1.8}{100}$ = $\frac{101.8}{100}$ .