1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elden [556K]
3 years ago
10

How to explain why a trapezoid is a quadrilateral but a quadrilateral is not always a trapezoid

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.

Once you start imposing some special requirements on the lengths of
the sides,  or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.

The simplest requirement of all is that there must be one pair of sides that
are parallel to each other.  That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.

Here are some other, more strict requirements, that make other special
quadrilaterals:

-- Two pairs of parallel sides . . . . 'parallelogram'

-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
           (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
           (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
           (also a special kind of parallelogram, rectangle, and rhombus)


You might be interested in
Which polynomial expression represents the area of the outermost square tile, shown below?
erastova [34]

Answer:

x² - 6x + 9

Step-by-step explanation:

(x - 3)² = x² - 6x + 9

5 0
3 years ago
Please help!
kogti [31]
I and III seem to be correct, II doesn't because, for example, if x = w = z = t = 70 and y = u = 40, then all three pairs of vertical angles in the figure have equal measure and the given condition x + y = u + w stands. But it means y is not equal to w.
3 0
3 years ago
Read 2 more answers
Divide 180 kg in the ratio 1:8
harina [27]

Answer:

12x2+2x6x34÷1613÷14

Step-by-step explanation:

6 0
2 years ago
A book is on sale for 30% off. The sale price of the book is $14. What is the original price of the book
Yuki888 [10]

Since $14 is the price after a 30% discount then $14 is 70% of the original price.

$14/70=x/100 (100% would be the original price)

1400=70x or 1400/70 = $20!

You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!

8 0
3 years ago
Chloe kicks a soccer ball across a field. The height of the ball above the ground is given by the equation
Reika [66]

Answer:

It takes 3.5 seconds for the ball to hit the ground

Step-by-step explanation:

By finding the x intercepts you can determine when the ball hits the ground.

the second x intercept is (3.5,0), which means the ball hits the ground at 3.5 seconds

4 0
3 years ago
Other questions:
  • I added two photos for clarity but the first one is the original
    10·1 answer
  • Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3)
    11·1 answer
  • Can i get some help on these math problems please
    15·1 answer
  • Ben said that when you divide a positive decimal by a negative decimal, the answer will be less than 0.
    13·1 answer
  • What is the solution to 3/5x+2/3+x= 1/2-1/5
    7·1 answer
  • If the hypotenyse of an isosceles triangle is 8 inches, is there enough information to find the length of the legs? If yes, find
    11·1 answer
  • Give me anime recommendations, hope you had a good day!
    7·2 answers
  • The spinner shown is spun 300 times.
    7·1 answer
  • Is 8 yard, 9 yards, and 12 yards right triangle
    7·1 answer
  • How can you find 50% of any number? Select all that apply.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!