Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

what kind of quadrilateral is PQRS? EXPLAIN YOUR REASONING.
1.) What is the length of side PS? = 9
2.) What is the length of side SR? = 9
3.) What is the length of side PQ? = 29
4.) What is the length of side QR? = 29
since i already found the lengths for these angles, what kind of quadrilateral is PQRS?

What Kind Of Quadrilateral Is PQRS EXPLAIN YOUR REASONING 1 What Is The Length Of Side PS 9 2 What Is The Length Of Side SR 9 3 What Is The Length Of Side PQ 29 class=

Sagot :

sqdancefan

Answer:

  1. PS = 3
  2. SR = 3
  3. PQ = √29
  4. QR = √29
  5. kite

Step-by-step explanation:

A quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite.

Perhaps a more conventional definition of a kite is that it is a quadrilateral with two pairs of congruent adjacent sides.

1, 2)

The lengths PS and SR can be found by counting grid squares along the line segments. Each has a length of 3. They constitute one pair of congruent adjacent sides.

  PS = SR = 3

__

3, 4)

The lengths of PQ an QR can be found using the distance formula. Essentially, it uses the Pythagorean theorem to compute the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates. For PQ and QR, those differences are 2 and 5, so the lengths of those segments are √(2² +5²) = √29.

  PQ = QR = √29

__

5)

The figure has two pairs of congruent adjacent sides, so is a kite.

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.