Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if

Question:

Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its diagonals are orthogonal.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

See More Books

Question Posted: Jun 21, 2016 07:07 AM

See More Questions

A parallelogram has diagonals determined by the vectors Show that the parallelogram is a rhombus (all sides of equal length) and determine the side length. d, = | 2 | , and d2-1-1
Recall that the area of a parallelogram with base b and altitude h is given by bh, and the volume of a parallelepiped is given by the area of its base times its altitude. a) Let a, b R3 be nonzero...
a) Compute ««E x - y x + 2y d A, where E is the parallelogram with vertices (0 0), (2/3, -1/3), (1, 0), (1/3, 1/3). b) Compute ««E 32x2 - 5xy - 3y2 dA, where E is the...
Explain what quality management knowledge and skills an auditor should possess when auditing
Why is a project-type organization considered to be like a mini-company?
SAE $10 \mathrm{~W}-30$ oil at $100^{\circ} \mathrm{C}$ is pumped through a tube $L=10 \mathrm{~m}$ long, diameter $D=20 \mathrm{~mm}$. The applied pressure difference is \(\Delta p=5...
What is CSE? Give examples.
Mighty Inc. leases some of the equipment it uses. The lease term is five years, and the lease payments are to be made in advance as shown in the following schedule. January 1, 2011 . . . . . . . . ....
A steel measuring tape measures exactly 100 ft at 60F whensubjected to a pull of 20 lb. If the tape is 1/32 inch thick and 1/2 inch wide, whatcorrection should be made in reading the tape if it...
The diagram shows the arrangement of the outer electrons only in a molecule of ethanoic acid. a. Name the different elements found in this compound. b. What is the total number of atoms present in...
Prove that the angles at the base of an isosceles triangle are equal.
Prove the Jacobi identity (u x v) x w + (v x w) x u + (w x u) x v = 0.
Referring to Exercise 2.20, construct a density histogram using the intervals (6.0, 6.3), (6.3, 6.6), (6.6, 6.9), (6.9, 7.2), and (7.2, 7.9).
Jones, a minor, owned a 2014 automobile. She traded it to Stone for a 2015 car. Jones went on a three-week trip and found that the 2015 car was not as good as the 2014 car. She asked Stone to return...
Ira, who in 2013 had been found not guilty of a criminal offense because of insanity, was released from a hospital for the criminally insane during the summer of 2014 and since that time has been a...
What happens to M1 and M2 due to each of the following changes? a. You take $\$ 500$ out of your checking account and put it into a passbook savings account. b. You take $\$ 1000$ out of your...
Mark, a minor, operates a one-man automobile repair shop. Rose, having heard of Marks good work on other cars, takes her car to Marks shop for a thorough engine overhaul. Mark, while overhauling...
On July 5, 2006, Richard Price signed a written employment contract as a new salesman with the Mercury Supply Company. The contract was of indefinite duration and could be terminated by either party...
If the Prepaid Insurance account had a balance of $12,000, representing one years policy premium, which was paid on July 1, what entry would be needed to adjust the Prepaid Insurance account at the...
Write the given system without the use of matrices. D) - ()- d (x sin t + 8 (2+ 1)
Find an equation of the line containing the point (-1, 3) and parallel to the line x + 2y = -6.
Find an equation of the line containing the point (-1, 3) and perpendicular to the line x + 2y = -6.
The data in the table below show a decrease in the average number of miles per passenger car from 2005 to 2008. Year, x Average Number of Miles per passenger Car 2005, 0 ................. 12,510...
Deep in space there is an average particle density = 0 . 9 9 cm -3 3 and an extremely low pressure of P 0 = 4 . 9 x 1 0 - 1 -17 N / m 2 . What is the average temperature of ( mostly ) empty space?...
After analyzing the population data of a bacteria colony, a microbiologist determines that the population of the bacterial colony can be modeled by the equation P(t) = 500e0.1t. (a) What is the...
Suppose that the terminal point determined by t is the point (1) on the unit circle. Find the terminal point determined by each of the following. (a) It-t (x, y) = (b) -t (x,y)=([ (x, y) = (c) +t (x,...

Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if

Question:

Step by Step Answer:

Let the vertices of a parallelogram be denoted A B C D as shown in the figur...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions