All categories

2 years ago

Which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram?

Mathematics

1 answer:

ella [17]2 years ago

8 0

Answer: D

Step-by-step explanation:

A counterexample is an isosceles trapezoid.

You might be interested in

Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).

AveGali [126]

Answer:

Question (a)

Midpoint of a line segment:

$M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{midpoint of }JL=\left(\dfrac{-2+4}{2},\dfrac{2+0}{2}\right)=(1,1)$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{midpoint of }MK=\left(\dfrac{3-1}{2},\dfrac{7-5}{2}\right)=(1, 1)$

Question (b)

Find slopes (gradients) of JL and MK then compare. If the product of the slopes of JL and MK equal -1, then JL and MK are perpendicular.

$\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{slope of }JL=\dfrac{0-2}{4+2}=-\dfrac13$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{slope of }MK=\dfrac{-5-7}{-1-3}=3$

$\textsf{slope of }JL \times \textsf{slope of }MK=-\dfrac13 \times3=-1$

Hence segments JL and MK are perpendicular

4 0

2 years ago

A positive number multiplied or divided by a negative number is always negative or positive

Ket [755]

It is always negative. For example, -1 times 2 is -2

8 0

3 years ago

Read 2 more answers

Super easy question just don’t know it

Doss [256]

Answer:

Integer

Step-by-step explanation:

6 0

3 years ago

What is organ system???

Zigmanuir [339]

Answer:

An organ system is a group of organs that work together to perform one or more functions. Each organ has a specialized role in a plant or animal body, and is made up of distinct tissues.

#Carry on learning

#mark a brainlies

$- heaven$

8 0

3 years ago

Read 2 more answers

Which of the following ordered pairs represents the solution to the system given below?

pentagon [3]

(3,-1) just fill it in and the only one that makes sense is the first one

4 0

3 years ago