If consecutive angles of a quadrilateral are supplementary, is the quadrilateral always a parallelogram? Explain your reasoning.

Question

THATGUY260 THATGUY260

19-05-2018
Mathematics

contestada

If consecutive angles of a quadrilateral are supplementary, is the quadrilateral always a parallelogram? Explain your reasoning.

Respuesta :

ACCESS MORE

Otras preguntas

How do the parenthetical remarks in John Jeremiah Sullivan's article 'HowWilliam Faulkner Tackled Race - and Freed the South From Itself" contributeto its tone?

**50 points Once again and brainliest** Please hurry ;w;

Need help pls will give you five stars

Let surface S be the boundary of the solid object enclosed by x^2+z^2=4, x+y=6, x=0, y=0, and z=0. and, let f(x,y,z)=(3x)i+(x+y+2z)j + (3z)k be a vector field (

Suppose we use a person's dad's height to predict how short or tall the person will be by building a regression model to investigate if a relationship exists be

Fear of the ""mob"" or ""rabble"" during the post-revolution year caused authors of some state constitutions to

Evaluate the expression: -(31 + 2) +7² - (-5²)A) -9B) -5C) 41OD -40

Corinne was shaken after learning that a _[blank] occurred during the auto accident. Which word form correctly completes the sentence?

Find the rate of change, y-intercept, and function rule for the pattern below: 1, 7, 13, 19, ... rate of change: y-intercept: function rule: y = x + Can some

Translate the expression from algebra to words: 6+r

sqdancefan sqdancefan · Answer 1 · 2018-05-23T18:22:39+02:00

Answer:

Yes, if all pairs of consecutive angles are supplementary, the quadrilateral is a parallelogram.

No, if only one pair of consecutive angles is supplementary, the quadrilateral may be trapezoid, and is not necessarily a parallelogram.

Explanation:

All pairs of consecutive angles being supplementary ensures opposite sides are parallel. (Consecutive angles are same-side interior angles.) If opposite sides of a quadrilateral are parallel, that quadrilateral is a parallelogram.

If one pair of consecutive angles is supplementary, then at least two sides of the quadrilateral are parallel. The figure may be a trapezoid, not a parallelogram.

_____

Comment on the question

We consider the problem statement to be ambiguous regarding the number of consecutive angles. Use the answer appropriate to your interpretation of the question.

snog snog · Answer 2 · 2020-05-31T15:52:51+02:00

snog snog

31-05-2020

Answer:

No

Step-by-step explanation:

The problem never said that all of the pairs of consecutive angles of the quadrilateral were supplementary. If only 1 pair of consecutive angles were supplementary, it could be a right trapezoid, which is definitely not a parallelogram.

Answer Link