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?
A new flu medication can act as a cure or as a vaccine, but a curative dose is 10 times larger than a vaccination. The cure and the vaccine always work. Half of healthy persons who dont receive the...
What decision(s) do you recommend? When youre already big it can be hard to get bigger. Thats why Alibaba is working hard to continue to expand its e-tailing empire. In 1999, Jack Ma, inspired by a...
Collins Corporation issued 10,000 shares of no-par common stock for $20 per share. Collins also issued 2,000 shares of $50 par, 5 percent noncumulative preferred stock at $55 per share. Required...
For the following annuity due, determine the nominal annual rate of interest. The nominal annual rate of interest is %. (Round to two decimal places as needed.)
Blake Co. assembles specialist motor vehicles such as freight trucks, buses, and delivery trucks. The company owns four assembly plants where parts are delivered and assembled into the motor...
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.
Our company was going to be sold to Sprint, but the government said that would be in violation of antitrust laws. Identify which external environmental factor is referred to in each statement. A....
Do you think digital wallets will revolutionize electronic banking and in-store transactions? 2. How do you think digital wallets will affect traditional banks? 3. What are some of the risks of...
5.14 Strains are measured on the surface of a brass alloy part as follows: Ex 160010-6 y=1300106, and Yxy = 1500106. Estimate the in-plane stresses x, y, and Txy, and also the strain normal to the...
E) prepare preclosing trial balances at december 31,2026. for the debt service fund, considering only the proceeds, expenditures, and transfers resulting from transactions of the capital projects...
Explain at least 8 types of Google ads brieflyAnalyze the ad & share your opinion on its performance and suggest changes if required. * add the snapshots, and pictures of examples
Categorize each variable as quantitative or qualitative GPA is continuous Number of students is Discrete GPA ( Continuous) and Number of Students ( Discrete) GPA ( Discrete) and the Number of...
An electronic device designed to operate at any temperature in the range from-10.0C to 55.0C contains pure carbon resistors. By what factor does their resistance increase over this range?
Write a while loop that uses an explicit iterator to accomplish the same thing as Exercise 7.3. Exercise 7.3. Write a for-each loop that calls the addInterest method on each BankAccount object in a...
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...
Be prepared to explain the texts comprehensive To illustrate the issues related to interest capitalization, assume that on November 1, 2016, Shalla Company contracted Pfeifer Construction Co. to...
On April 1, 2020. Indigo Company received a condemnation award of $473,000 cash as compensation for the forced sale of the company's land and building, which stood in the path of a new state highway....
The market price of a stock is $24.55 and it is expected to pay a dividend of $1.44 next year. The required rate of return is 11.23%. What is the expected growth rate of the dividend? Submit Answer...

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